1
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Hollerbach R, Kim EJ. Effects of Stochastic Noises on Limit-Cycle Oscillations and Power Losses in Fusion Plasmas and Information Geometry. ENTROPY (BASEL, SWITZERLAND) 2023; 25:e25040664. [PMID: 37190453 PMCID: PMC10137813 DOI: 10.3390/e25040664] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/22/2023] [Revised: 04/01/2023] [Accepted: 04/13/2023] [Indexed: 05/17/2023]
Abstract
We investigate the effects of different stochastic noises on the dynamics of the edge-localised modes (ELMs) in magnetically confined fusion plasmas by using a time-dependent PDF method, path-dependent information geometry (information rate, information length), and entropy-related measures (entropy production, mutual information). The oscillation quenching occurs due to either stochastic particle or magnetic perturbations, although particle perturbation is more effective in this amplitude diminishment compared with magnetic perturbations. On the other hand, magnetic perturbations are more effective at altering the oscillation period; the stochastic noise acts to increase the frequency of explosive oscillations (large ELMs) while decreasing the frequency of more regular oscillations (small ELMs). These stochastic noises significantly reduce power and energy losses caused by ELMs and play a key role in reproducing the observed experimental scaling relation of the ELM power loss with the input power. Furthermore, the maximum power loss is closely linked to the maximum entropy production rate, involving irreversible energy dissipation in non-equilibrium. Notably, over one ELM cycle, the information rate appears to keep almost a constant value, indicative of a geodesic. The information rate is also shown to be useful for characterising the statistical properties of ELMs, such as distinguishing between explosive and regular oscillations and the regulation between the pressure gradient and magnetic fluctuations.
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Affiliation(s)
- Rainer Hollerbach
- Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
| | - Eun-Jin Kim
- Centre for Fluid and Complex Systems, Coventry University, Priory St, Coventry CV1 5FB, UK
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2
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Muñuzuri AP, Gagnon JS, Pérez-Mercader J. Numerical and renormalization group analysis of the phase diagram of a stochastic cubic autocatalytic reaction-diffusion system. Phys Rev E 2023; 107:034213. [PMID: 37073065 DOI: 10.1103/physreve.107.034213] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/08/2022] [Accepted: 03/14/2023] [Indexed: 04/20/2023]
Abstract
The renormalization group is a set of tools that can be used to incorporate the effect of fluctuations in a dynamical system as a rescaling of the system's parameters. Here, we apply the renormalization group to a pattern-forming stochastic cubic autocatalytic reaction-diffusion model and compare its predictions with numerical simulations. Our results demonstrate a good agreement within the range of validity of the theory and show that external noise can be used as a control parameter in such systems.
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Affiliation(s)
- Alberto P Muñuzuri
- Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138-1204, USA
- Group of Nonlinear Physics, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain
- Galician Center for Mathematical Research and Technology (CITMAga), 15782 Santiago de Compostela, Spain
| | - Jean-Sébastien Gagnon
- Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138-1204, USA
- Department of Physics, Norwich University, Northfield, Vermont 05663, USA
| | - Juan Pérez-Mercader
- Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138-1204, USA
- Santa Fe Institute, Santa Fe, New Mexico 87501, USA
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3
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Esmaeili S, Hastings A, Abbott KC, Machta J, Nareddy VR. Noise-induced versus intrinsic oscillation in ecological systems. Ecol Lett 2022; 25:814-827. [PMID: 35007391 DOI: 10.1111/ele.13956] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/26/2021] [Revised: 11/15/2021] [Accepted: 12/03/2021] [Indexed: 11/30/2022]
Abstract
Studies of oscillatory populations have a long history in ecology. A first-principles understanding of these dynamics can provide insights into causes of population regulation and help with selecting detailed predictive models. A particularly difficult challenge is determining the relative role of deterministic versus stochastic forces in producing oscillations. We employ statistical physics concepts, including measures of spatial synchrony, that incorporate patterns at all scales and are novel to ecology, to show that spatial patterns can, under broad and well-defined circumstances, elucidate drivers of population dynamics. We find that when neighbours are coupled (e.g. by dispersal), noisy intrinsic oscillations become distinguishable from noise-induced oscillations at a transition point related to synchronisation that is distinct from the deterministic bifurcation point. We derive this transition point and show that it diverges from the deterministic bifurcation point as stochasticity increases. The concept of universality suggests that the results are robust and widely applicable.
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Affiliation(s)
- Shadisadat Esmaeili
- Department of Environmental Science and Policy, University of California, Davis, California, USA
| | - Alan Hastings
- Department of Environmental Science and Policy, University of California, Davis, California, USA.,Santa Fe Institute, Santa Fe, New Mexico, USA
| | - Karen C Abbott
- Department of Biology, Case Western Reserve University, Cleveland, Ohio, USA
| | - Jonathan Machta
- Santa Fe Institute, Santa Fe, New Mexico, USA.,Physics Department, University of Massachusetts, Amherst, Massachusetts, USA
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4
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Ball R, Brindley J. Does Stochasticity Favour Complexity in a Prebiotic Peptide-Micelle System? ORIGINS LIFE EVOL B 2021; 51:259-271. [PMID: 34480252 DOI: 10.1007/s11084-021-09614-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2021] [Accepted: 07/29/2021] [Indexed: 11/29/2022]
Abstract
A primordial environment that hosted complex pre- or proto-biochemical activity would have been subject to random fluctuations. A relevant question is then: What might be the optimum variance of such fluctuations, such that net progress could be made towards a living system? Since lipid-based membrane encapsulation was undoubtedly a key step in chemical evolution, we used a peptide-micelle system in simulated experiments where simple micelles and peptide-stabilized micelles compete for the same amphiphilic lipid substrate. As cyclic thermal driver and energy source we used a thermochemical redox oscillator, to which the micelle reactions are coupled thermally through the activation energies. The long-time series averages taken for increasing values of the fluctuation variance show two distinct minima for simple micelles, but are smoothly increasing for complex micelles. This result suggests that the fluctuation variance is an important parameter in developing and perpetuating complexity. We hypothesize that such an environment may be self-selecting for a complex, evolving chemical system to outcompete simple or parasitic molecular structures.
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Affiliation(s)
- Rowena Ball
- Mathematical Sciences Institute, Australian National University, Canberra, 2602, Australia.
| | - John Brindley
- School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK
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5
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Gagnon JS, Hochberg D, Pérez-Mercader J. Renormalization of stochastic differential equations with multiplicative noise using effective potential methods. Phys Rev E 2021; 102:062142. [PMID: 33466007 DOI: 10.1103/physreve.102.062142] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/19/2020] [Accepted: 12/02/2020] [Indexed: 11/07/2022]
Abstract
We present a method to renormalize stochastic differential equations subjected to multiplicative noise. The method is based on the widely used concept of effective potential in high-energy physics and has already been successfully applied to the renormalization of stochastic differential equations subjected to additive noise. We derive a general formula for the one-loop effective potential of a single ordinary stochastic differential equation (with arbitrary interaction terms) subjected to multiplicative Gaussian noise (provided the noise satisfies a certain normalization condition). To illustrate the usefulness (and limitations) of the method, we use the effective potential to renormalize a toy chemical model based on a simplified Gray-Scott reaction. In particular, we use it to compute the scale dependence of the toy model's parameters (in perturbation theory) when subjected to a Gaussian power-law noise with short time correlations.
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Affiliation(s)
- Jean-Sébastien Gagnon
- Department of Physics, Norwich University, Northfield, Vermont 05663, USA.,Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
| | - David Hochberg
- Department of Molecular Evolution, Centro de Astrobiología (CSIC-INTA), Torrejón de Ardóz, Madrid 28850, Spain
| | - Juan Pérez-Mercader
- Department of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.,Santa Fe Institute, Santa Fe, New Mexico 87501, USA
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6
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Cao B, Wang R, Gu H, Li Y. Coherence resonance for neuronal bursting with spike undershoot. Cogn Neurodyn 2020; 15:77-90. [PMID: 33786081 DOI: 10.1007/s11571-020-09595-5] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/26/2019] [Revised: 04/25/2020] [Accepted: 04/29/2020] [Indexed: 11/28/2022] Open
Abstract
Although the bursting patterns with spike undershoot are involved with the achievement of physiological or cognitive functions of brain with synaptic noise, noise induced-coherence resonance (CR) from resting state or subthreshold oscillations instead of bursting has been widely identified to play positive roles in information process. Instead, in the present paper, CR characterized by the increase firstly and then decease of peak value of power spectrum of spike trains is evoked from a bursting pattern with spike undershoot, which means that the minimal membrane potential within burst is lower than that of the subthreshold oscillations between bursts, while CR cannot be evoked from the bursting pattern without spike undershoot. With bifurcations and fast-slow variable dissection method, the bursting patterns with and without spike undershoot are classified into "Sub-Hopf/Fold" bursting and "Fold/Homoclinic" bursting, respectively. For the bursting with spike undershoot, the trajectory of the subthreshold oscillations is very close to that of the spikes within burst. Therefore, noise can induce more spikes from the subthreshold oscillations and modulate the bursting regularity, which leads to the appearance of CR. For the bursting pattern without spike undershoot, the trajectory of the quiescent state is not close to that of the spikes within burst, and noise cannot induce spikes from the quiescent state between bursts, which is cause for non-CR. The result provides a novel case of CR phenomenon and extends the scopes of CR concept, presents that noise can enhance rather than suppress information of the bursting patterns with spike undershoot, which are helpful for understanding the dynamics and the potential physiological or cognitive functions of the nerve fiber or brain neurons with such bursting patterns.
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Affiliation(s)
- Ben Cao
- School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092 China
| | - Runxia Wang
- School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092 China
| | - Huaguang Gu
- School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092 China
| | - Yuye Li
- College of Mathematics and Computer Science, Chifeng University, Chifeng, 024000 China
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7
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Maguire OR, Wong ASY, Baltussen MG, van Duppen P, Pogodaev AA, Huck WTS. Dynamic Environments as a Tool to Preserve Desired Output in a Chemical Reaction Network. Chemistry 2020; 26:1676-1682. [PMID: 31808965 DOI: 10.1002/chem.201904725] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/16/2019] [Revised: 11/28/2019] [Indexed: 12/31/2022]
Abstract
Current efforts to design functional molecular systems have overlooked the importance of coupling out-of-equilibrium behaviour with changes in the environment. Here, the authors use an oscillating reaction network and demonstrate that the application of environmental forcing, in the form of periodic changes in temperature and in the inflow of the concentration of one of the network components, removes the dependency of the periodicity of this network on temperature or flow rates and enforces a stable periodicity across a wide range of conditions. Coupling a system to a dynamic environment can thus be used as a simple tool to regulate the output of a network. In addition, the authors show that coupling can also induce an increase in behavioural complexity to include quasi-periodic oscillations.
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Affiliation(s)
- Oliver R Maguire
- Institute for Molecules and Materials, Radboud University, Heyendaalseweg 135, 6525, AJ, Nijmegen, The Netherlands
| | - Albert S Y Wong
- Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA, 02138, USA
| | - Mathieu G Baltussen
- Institute for Molecules and Materials, Radboud University, Heyendaalseweg 135, 6525, AJ, Nijmegen, The Netherlands
| | - Peer van Duppen
- Institute for Molecules and Materials, Radboud University, Heyendaalseweg 135, 6525, AJ, Nijmegen, The Netherlands
| | - Aleksandr A Pogodaev
- Institute for Molecules and Materials, Radboud University, Heyendaalseweg 135, 6525, AJ, Nijmegen, The Netherlands
| | - Wilhelm T S Huck
- Institute for Molecules and Materials, Radboud University, Heyendaalseweg 135, 6525, AJ, Nijmegen, The Netherlands
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8
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Silva-Dias L, Lopez-Castillo A. Turing patterns modulation by chemical gradient in isothermal and non-isothermal conditions. Phys Chem Chem Phys 2020; 22:7507-7515. [DOI: 10.1039/d0cp00650e] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Chemical gradients imposed through boundary conditions induce spatial symmetry breaking of Turing patterns in small systems.
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9
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García-Selfa D, Muñuzuri AP, Pérez-Mercader J, Simakov DSA. Resonant Behavior in a Periodically Forced Nonisothermal Oregonator. J Phys Chem A 2019; 123:8083-8088. [PMID: 31441660 DOI: 10.1021/acs.jpca.9b05238] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Nonisothermal chemical oscillators are poorly studied systems because chemical oscillations are conventionally studied under isothermal conditions. Coupling chemical reactions with heat generation and removal in a nonisothermal oscillatory system can lead to a highly nontrivial nonlinear dynamic behavior. For the current study, we considered the three-variable Oregonator model with the temperature incorporated as a variable (not a parameter), thus adding an energy balance to the set of equations. The effect of temperature on reaction rates is included through the temperature-dependent reaction rate coefficients (Arrhenius law). To model a continuous operation in a laboratory environment, the system was subjected to external forcing through the coolant temperature and infrared irradiation. By conducting numerical simulations and parametric studies, we found that the system is capable of a resonant behavior exhibiting induced oscillations. Our findings indicate that an external source of heat (e.g., via an infrared light emitting diode) can be used to induce a Hopf bifurcation under resonant conditions in an experimental Belousov-Zhabotinsky reactor.
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Affiliation(s)
- David García-Selfa
- Group of Nonlinear Physics , Universidad de Santiago de Compostela , Campus Sur , 15782 Santiago de Compostela , Spain
| | - Alberto P Muñuzuri
- Group of Nonlinear Physics , Universidad de Santiago de Compostela , Campus Sur , 15782 Santiago de Compostela , Spain.,Department of Earth and Planetary Sciences, Origins of Life Initiative , Harvard University , Cambridge , Massachusetts 02138 , United States
| | - Juan Pérez-Mercader
- Department of Earth and Planetary Sciences, Origins of Life Initiative , Harvard University , Cambridge , Massachusetts 02138 , United States.,Santa Fe Institute , Santa Fe , New Mexico 87501 , United States
| | - David S A Simakov
- Department of Chemical Engineering , University of Waterloo , Waterloo , Ontario N2L 3G1 , Canada
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10
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Abstract
We investigate the alternating current (ac) -driven electroconvection (EC) in one-dimensional cells (1DCs) under the in-plane switching mode. In 1DCs, defect-free EC can be realized. In the presence and absence of external multiplicative noise, the features of traveling waves (TWs), such as their Hopf frequency f_{H} and velocity, are examined in comparison with those of conventional two-dimensional cells (2DCs) accompanying defects of EC rolls. In particular, we show that the defects significantly contribute to the features of the TWs. Additionally, owing to the defect-free EC in the 1DCs, the effects of the ac and noise fields on the TW are clarified. The ac field linearly increases f_{H}, independent of the ac frequency f. The noise increases f_{H} monotonically, but f_{H} does not vary below a characteristic noise intensity V_{N}^{*}. In addition, soliton-like waves and unfamiliar oscillation of EC vortices in 1DCs are observed, in contrast to the localized EC (called worms) and the oscillation of EC rolls in 2DCs.
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Affiliation(s)
- Jong-Hoon Huh
- Department of Mechanical Information Science and Technology, Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Fukuoka 820-8502, Japan
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11
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Serna H, Muñuzuri AP, Barragán D. Thermodynamic and morphological characterization of Turing patterns in non-isothermal reaction-diffusion systems. Phys Chem Chem Phys 2018; 19:14401-14411. [PMID: 28435963 DOI: 10.1039/c7cp00543a] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
The effect of temperature on the bifurcation diagram and Turing instability domain under non isothermal conditions is studied in the reversible Gray-Scott model. After adding the energy balance to the cubic autocatalytic model, the thermostat temperature and heat transfer coefficient are used as control parameters in the Turing pattern formation. The patterns obtained in the domain of the thermal parameter are characterized by quantifying the overall entropy generation rate and two topological indices; Shannon entropy and Minkowski functionals. The results show that it is possible to induce transitions between Turing patterns of different morphologies by regulating the temperature, and that these transitions take place at a lower entropy generation value compared to other parameters, such as kinetic constants and reactant fluxes. Finally, a correlation between entropy generation and topological indices shows that a difference between direct and inverse patterns is mainly morphological and not energetic.
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Affiliation(s)
- Horacio Serna
- Group of Calorimetry and Irreversible Processes Thermodynamics, Department of Chemistry, Faculty of Sciences, Universidad Nacional de Colombia, Campus El Volador, Bloque 16. Calle 59A 63-20, Medellín, Colombia.
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12
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Voorsluijs V, Kevrekidis IG, De Decker Y. Nonlinear behavior and fluctuation-induced dynamics in the photosensitive Belousov-Zhabotinsky reaction. Phys Chem Chem Phys 2017; 19:22528-22537. [PMID: 28809962 DOI: 10.1039/c7cp03260a] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
The photosensitive Belousov-Zhabotinsky (pBZ) reaction has been used extensively to study the properties of chemical oscillators. In particular, recent experiments revealed the existence of complex spatiotemporal dynamics for systems consisting of coupled micelles (V < 10-21 L) or droplets (V ≈ [10-8-10-11] L) in which the pBZ reaction takes place. These results have been mostly understood in terms of reaction-diffusion models. However, in view of the small size of the droplets and micelles, large fluctuations of concentrations are to be expected. In this work, we investigate the role of fluctuations on the dynamics of a single droplet with stochastic simulations of an extension of the Field-Körös-Noyes (FKN) model taking into account the photosensitivity. The birhythmicity and chaotic behaviors predicted by the FKN model in the absence of fluctuations become transient or intermittent regimes whose lifetime decreases with the size of the droplet. Simple oscillations are more robust and can be observed even in small systems (V > 10-12 L), which justifies the use of deterministic models in microfluidic systems of coupled oscillators. The simulations also reveal that fluctuations strongly affect the efficiency of inhibition by light, which is often used to control the kinetics of these systems: oscillations are found for parameter values for which they are supposed to be quenched according to deterministic predictions.
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Affiliation(s)
- Valérie Voorsluijs
- Center for Nonlinear Phenomena and Complex Systems (CENOLI), Université libre de Bruxelles (ULB), Campus Plaine, C.P. 231, B-1050 Brussels, Belgium.
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13
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Huh JH. Traveling waves and worms in ac-driven electroconvection under external multiplicative noise. Phys Rev E 2017; 95:042704. [PMID: 28505846 DOI: 10.1103/physreve.95.042704] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2017] [Indexed: 11/07/2022]
Abstract
In the presence of external multiplicative noise, ac-driven electroconvection (EC) in a nematic liquid crystal is investigated. Noise-induced traveling waves (TWs) including localized ones (worms) are found with a typical, stationary wave. Three kinds of TWs are classified by their dynamic features (e.g., noise-intensity-dependent Hopf frequency and space-time map). Moreover, ac frequency-dependent threshold voltages of EC are examined in high noise intensities causing abnormal charge redistribution of the EC cell, and the roles of ac and noise fields with respect to TWs are elucidated in successive pattern evolutions. The mechanism of TWs is discussed in terms of a locally perturbed dynamic conductivity due to the noise field additionally applied to the EC; such a conductivity can be related to a weak-electrolyte model for a Hopf bifurcation to a TW.
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Affiliation(s)
- Jong-Hoon Huh
- Department of Mechanical Information Science and Technology, Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology, Fukuoka 820-8502, Japan
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14
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Ricci F, Rica RA, Spasenović M, Gieseler J, Rondin L, Novotny L, Quidant R. Optically levitated nanoparticle as a model system for stochastic bistable dynamics. Nat Commun 2017; 8:15141. [PMID: 28485372 PMCID: PMC5436086 DOI: 10.1038/ncomms15141] [Citation(s) in RCA: 67] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2016] [Accepted: 02/22/2017] [Indexed: 12/04/2022] Open
Abstract
Nano-mechanical resonators have gained an increasing importance in nanotechnology owing to their contributions to both fundamental and applied science. Yet, their small dimensions and mass raises some challenges as their dynamics gets dominated by nonlinearities that degrade their performance, for instance in sensing applications. Here, we report on the precise control of the nonlinear and stochastic bistable dynamics of a levitated nanoparticle in high vacuum. We demonstrate how it can lead to efficient signal amplification schemes, including stochastic resonance. This work contributes to showing the use of levitated nanoparticles as a model system for stochastic bistable dynamics, with applications to a wide variety of fields.
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Affiliation(s)
- F. Ricci
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, Barcelona 08860, Spain
| | - R. A. Rica
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, Barcelona 08860, Spain
| | - M. Spasenović
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, Barcelona 08860, Spain
| | - J. Gieseler
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, Barcelona 08860, Spain
- Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA
| | - L. Rondin
- ETH Zürich, Photonics Laboratory, Zürich 8093, Switzerland
| | - L. Novotny
- ETH Zürich, Photonics Laboratory, Zürich 8093, Switzerland
| | - R. Quidant
- ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels, Barcelona 08860, Spain
- ICREA-Institució Catalana de Recerca i Estudis Avancats, Barcelona 08010, Spain
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15
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Elements of biological oscillations in time and space. Nat Struct Mol Biol 2017; 23:1030-1034. [PMID: 27922613 DOI: 10.1038/nsmb.3320] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2016] [Accepted: 10/13/2016] [Indexed: 12/16/2022]
Abstract
Oscillations in time and space are ubiquitous in nature and play critical roles in dynamic cellular processes. Although the molecular mechanisms underlying the generation of the dynamics are diverse, several distinct regulatory elements have been recognized as being critical in producing and modulating oscillatory dynamics. These include negative and positive feedback, time delay, nonlinearity in regulation, and random fluctuations ('noise'). Here we discuss the specific roles of these five elements in promoting or attenuating oscillatory dynamics, by drawing on insights from quantitative analyses of natural or synthetic biological networks.
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16
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Muñuzuri AP, Pérez-Mercader J. Noise-Induced and Control of Collective Behavior in a Population of Coupled Chemical Oscillators. J Phys Chem A 2017; 121:1855-1860. [PMID: 28201874 DOI: 10.1021/acs.jpca.6b12489] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Synchronization of intercommunicating individual oscillators is an important form of collective behavior used in nature as a mechanism to face dangers, act collectively, and communicate. The involvement of the medium where oscillators exist is an important ingredient. Because of their nature and their multiple different components, the medium and the environment are often perceived as stochastic relative to the deterministic nature of the individuals on some scale. This injects energy/matter into the system in ways that can enhance or de-enhance communication in a stochastic manner. Here we experimentally consider a large number of coupled nonlinear-chemical oscillators under the effect of a controlled normally distributed noise. Experiments show that the collective behavior of the oscillator is triggered by this stochastic perturbation, and we observe the dependence on the noise parameters. Our results point to the potential use of environmental fluctuations in determining the emergence and properties of collective behaviors in complex systems.
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Affiliation(s)
- Alberto P Muñuzuri
- Department of Earth and Planetary Sciences, Harvard University . Cambridge, Massachusetts 02138-1204, United States.,University of Santiago de Compostela , 15706 Santiago de Compostela, Spain
| | - Juan Pérez-Mercader
- Department of Earth and Planetary Sciences, Harvard University . Cambridge, Massachusetts 02138-1204, United States.,Santa Fe Institute , Santa Fe, New Mexico 87501, United States
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17
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Zubarev DY, Pachón LA. Sustainability of Transient Kinetic Regimes and Origins of Death. Sci Rep 2016; 6:20562. [PMID: 26853459 PMCID: PMC4744936 DOI: 10.1038/srep20562] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2015] [Accepted: 01/06/2016] [Indexed: 11/12/2022] Open
Abstract
It is generally recognized that a distinguishing feature of life is its peculiar capability to avoid equilibration. The origin of this capability and its evolution along the timeline of abiogenesis is not yet understood. We propose to study an analog of this phenomenon that could emerge in non-biological systems. To this end, we introduce the concept of sustainability of transient kinetic regimes. This concept is illustrated via investigation of cooperative effects in an extended system of compartmentalized chemical oscillators under batch and semi-batch conditions. The computational study of a model system shows robust enhancement of lifetimes of the decaying oscillations which translates into the evolution of the survival function of the transient non-equilibrium regime. This model does not rely on any form of replication. Rather, it explores the role of a structured effective environment as a contributor to the system-bath interactions that define non-equilibrium regimes. We implicate the noise produced by the effective environment of a compartmentalized oscillator as the cause of the lifetime extension.
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Affiliation(s)
- Dmitry Yu Zubarev
- Department of Chemistry and Chemical Biology, Harvard University, Cambridge, MA 02138 USA
| | - Leonardo A Pachón
- Grupo de Física Atómica y Molecular, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA; Calle 70 No. 52-21, Medellín, Colombia
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18
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Makki R, Muñuzuri AP, Perez-Mercader J. Periodic Perturbation of Chemical Oscillators: Entrainment and Induced Synchronization. Chemistry 2014; 20:14213-7. [PMID: 25214439 DOI: 10.1002/chem.201403647] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/03/2014] [Indexed: 01/01/2023]
Affiliation(s)
- Rabih Makki
- Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA 02138-1204 (USA) http://www.fas.harvard.edu/∼topdownsynthbio/index.cgi
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Simakov DSA, Pérez-Mercader J. Effect of Noise Correlation on Noise-Induced Oscillation Frequency in the Photosensitive Belousov–Zhabotinsky Reaction in a Continuous Stirred Tank Reactor. J Phys Chem A 2013; 117:13999-4005. [DOI: 10.1021/jp409033j] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Affiliation(s)
- David S. A. Simakov
- Department
of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138, United States
| | - Juan Pérez-Mercader
- Department
of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138, United States
- Santa Fe Institute, Santa Fe, New Mexico 87501, United States
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