1
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Jian B, Gao X. Investigation of spherical and non-spherical binary particles flow characteristics in a discharge hopper. ADV POWDER TECHNOL 2023. [DOI: 10.1016/j.apt.2023.104011] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/31/2023]
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2
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Ghosh A, Radhakrishnan J, Chaikin PM, Levine D, Ghosh S. Coupled Dynamical Phase Transitions in Driven Disk Packings. PHYSICAL REVIEW LETTERS 2022; 129:188002. [PMID: 36374694 DOI: 10.1103/physrevlett.129.188002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2022] [Revised: 07/05/2022] [Accepted: 09/20/2022] [Indexed: 06/16/2023]
Abstract
Under the influence of oscillatory shear, a monolayer of frictional granular disks exhibits two dynamical phase transitions: a transition from an initially disordered state to an ordered crystalline state and a dynamic active-absorbing phase transition. Although there is no reason a priori for these to be at the same critical point, they are. The transitions may also be characterized by the disk trajectories, which are nontrivial loops breaking time-reversal invariance.
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Affiliation(s)
- Akash Ghosh
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Mumbai 400005, India
| | - Jaikumar Radhakrishnan
- School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai 400005, India
| | - Paul M Chaikin
- Center for Soft Matter Research and Department of Physics, New York University, New York, New York 10003, USA
| | - Dov Levine
- Department of Physics, Technion-IIT, 32000 Haifa, Israel
| | - Shankar Ghosh
- Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Mumbai 400005, India
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3
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Zhang Z, Liu Y, Zheng B, Sun P, Li R. Discharge Characteristics of Different Shaped Particles from an Inclined Bottom Rectangular Hopper. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2022. [DOI: 10.1007/s13369-021-05584-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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4
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Ding Y, Yang J, Ou Y, Zhao Y, Li J, Hu B, Xia C. Structural evolution of granular cubes packing during shear-induced ordering. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2022; 34:224003. [PMID: 35263715 DOI: 10.1088/1361-648x/ac5c22] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/23/2021] [Accepted: 03/09/2022] [Indexed: 06/14/2023]
Abstract
Packings of granular particles may transform into ordered structures under external agitation, which is a special type of out-of-equilibrium self-assembly. Here, evolution of the internal packing structures of granular cubes under cyclic rotating shearing has been analyzed using magnetic resonance imaging techniques. Various order parameters, different types of contacts and clusters composed of face-contacting cubes, as well as the free volume regions in which each cube can move freely have been analyzed systematically to quantify the ordering process and the underlying mechanism of this granular self-assembly. The compaction process is featured by a first rapid formation of orientationally ordered local structures with faceted contacts, followed by further densification driven by free-volume maximization with an almost saturated degree of order. The ordered structures are strongly anisotropic with contacting ordered layers in the vertical direction while remaining liquid-like in the horizontal directions. Therefore, the constraint of mechanical stability for granular packings and the thermodynamic principle of entropy maximization are both effective in this system, which we propose can be reconciled by considering different depths of supercooling associated with various degrees of freedom.
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Affiliation(s)
- Yunhao Ding
- Shanghai Key Laboratory of Magnetic Resonance, Institute of Materials, School of Physics and Electronic Science, East China Normal University, Shanghai 200241, People's Republic of China
| | - Jing Yang
- Shanghai Key Laboratory of Magnetic Resonance, Institute of Materials, School of Physics and Electronic Science, East China Normal University, Shanghai 200241, People's Republic of China
| | - Yao Ou
- Shanghai Key Laboratory of Magnetic Resonance, Institute of Materials, School of Physics and Electronic Science, East China Normal University, Shanghai 200241, People's Republic of China
| | - Yu Zhao
- Shanghai Key Laboratory of Magnetic Resonance, Institute of Materials, School of Physics and Electronic Science, East China Normal University, Shanghai 200241, People's Republic of China
| | - Jianqi Li
- Shanghai Key Laboratory of Magnetic Resonance, Institute of Materials, School of Physics and Electronic Science, East China Normal University, Shanghai 200241, People's Republic of China
| | - Bingwen Hu
- Shanghai Key Laboratory of Magnetic Resonance, Institute of Materials, School of Physics and Electronic Science, East China Normal University, Shanghai 200241, People's Republic of China
| | - Chengjie Xia
- Shanghai Key Laboratory of Magnetic Resonance, Institute of Materials, School of Physics and Electronic Science, East China Normal University, Shanghai 200241, People's Republic of China
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5
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Cieśla M, Kubala P, Kozubek K. Algorithms to generate saturated random sequential adsorption packings built of rounded polygons. Phys Rev E 2021; 103:063308. [PMID: 34271732 DOI: 10.1103/physreve.103.063308] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2021] [Accepted: 05/25/2021] [Indexed: 01/24/2023]
Abstract
We present the algorithm for generating strictly saturated random sequential adsorption packings built of rounded polygons. It can be used in studying various properties of such packings built of a wide variety of different shapes, and in modeling monolayers obtained during irreversible adsorption processes of complex molecules. Here, we apply the algorithm to study the densities of packings built of rounded regular polygons. Contrary to packings built of regular polygons, where the packing fraction grows with an increasing number of polygon sides, here the packing fraction reaches its maximum for packings built of rounded regular triangles. With a growing number of polygon sides and increasing rounding radius, the packing fractions tend to the limit given by a packing built of disks. However, they are still slightly higher, even for the rounded 25-gon, which is the highest-sided regular polygon studied here.
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Affiliation(s)
- Michał Cieśla
- Institute of Theoretical Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
| | - Piotr Kubala
- Institute of Theoretical Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
| | - Konrad Kozubek
- Institute of Theoretical Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
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6
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Basurto E, Gurin P, Varga S, Odriozola G. Anisotropy-independent packing of confined hard ellipses. J Mol Liq 2021. [DOI: 10.1016/j.molliq.2021.115896] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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7
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Zhang S, Lin P, Wang M, Wan JF, Peng Y, Yang L, Hou M. Flow-induced surface crystallization of granular particles in cylindrical confinement. Sci Rep 2021; 11:13227. [PMID: 34168173 PMCID: PMC8225843 DOI: 10.1038/s41598-021-92136-9] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/17/2021] [Accepted: 05/17/2021] [Indexed: 02/05/2023] Open
Abstract
An interesting phenomenon that a layer of crystallized shell formed at the container wall during an orifice flow in a cylinder is observed experimentally and is investigated in DEM simulation. Different from shear or vibration driven granular crystallization, our simulation shows during the flow the shell layer is formed spontaneously from stagnant zone at the base and grows at a constant rate to the top with no external drive. Roughness of the shell surface is defined as a standard deviation of the surface height and its development is found to disobey existed growth models. The growth rate of the shell is found linearly proportional to the flow rate. This shell is static and served as a rough wall in an orifice flow with frictionless sidewall, which changes the flow profiles and its stress properties, and in turn guarantees a constant flow rate.
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Affiliation(s)
- Sheng Zhang
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China
- University of Chinese Academy of Sciences, Beijing, 100049, China
| | - Ping Lin
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China
- University of Chinese Academy of Sciences, Beijing, 100049, China
| | - Mengke Wang
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China
- University of Chinese Academy of Sciences, Beijing, 100049, China
| | - Jiang-Feng Wan
- East China University of Technology, Nanchang, 330105, China
| | - Yi Peng
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China
- University of Chinese Academy of Sciences, Beijing, 100049, China
| | - Lei Yang
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China.
- University of Chinese Academy of Sciences, Beijing, 100049, China.
- Lanzhou University, Lanzhou, 730000, China.
| | - Meiying Hou
- University of Chinese Academy of Sciences, Beijing, 100049, China.
- Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.
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8
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Simulation of granular crystallization of cubic particles in twisting container using discrete element method. ADV POWDER TECHNOL 2021. [DOI: 10.1016/j.apt.2021.01.001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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9
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10
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Yuan Y, VanderWerf K, Shattuck MD, O'Hern CS. Jammed packings of 3D superellipsoids with tunable packing fraction, coordination number, and ordering. SOFT MATTER 2019; 15:9751-9761. [PMID: 31742301 PMCID: PMC6902436 DOI: 10.1039/c9sm01932d] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/09/2023]
Abstract
We carry out numerical studies of static packings of frictionless superellipsoidal particles in three spatial dimensions. We consider more than 200 different particle shapes by varying the three shape parameters that define superellipsoids. We characterize the structural and mechanical properties of both disordered and ordered packings using two packing-generation protocols. We perform athermal quasi-static compression simulations starting from either random, dilute configurations (Protocol 1) or thermalized, dense configurations (Protocol 2), which allows us to tune the orientational order of the packings. In general, we find that superellipsoid packings are hypostatic, with coordination number zJ < ziso, where ziso = 2df and df = 5 or 6 depending on whether the particles are axi-symmetric or not. Over the full range of orientational order, we find that the number of quartic modes of the dynamical matrix for the packings always matches the number of missing contacts relative to the isostatic value. This result suggests that there are no mechanically redundant contacts for ordered, yet hypostatic packings of superellipsoidal particles. Additionally, we find that the packing fraction at jamming onset for disordered packings of superellipsoidal depends on at least two particle shape parameters, e.g. the asphericity A and reduced aspect ratio β of the particles.
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Affiliation(s)
- Ye Yuan
- Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China. and Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA
| | - Kyle VanderWerf
- Department of Physics, Yale University, New Haven, Connecticut 06520, USA
| | - Mark D Shattuck
- Benjamin Levich Institute and Physics Department, The City College of New York, New York, New York 10031, USA
| | - Corey S O'Hern
- Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA and Department of Physics, Yale University, New Haven, Connecticut 06520, USA and Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA and Graduate Program in Computational Biology and Bioinformatics, Yale University, New Haven, Connecticut 06520, USA
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11
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Kubala P, Cieśla M, Ziff RM. Random sequential adsorption of particles with tetrahedral symmetry. Phys Rev E 2019; 100:052903. [PMID: 31870013 DOI: 10.1103/physreve.100.052903] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2019] [Indexed: 06/10/2023]
Abstract
We study random sequential adsorption (RSA) of a class of solids that can be obtained from a cube by specific cutting of its vertices, in order to find out how the transition from tetrahedral to octahedral symmetry affects the densities of the resulting jammed packings. We find that in general solids of octahedral symmetry form less dense packing; however, the lowest density was obtained for the packing built of tetrahedra. The densest packing is formed by a solid close to a tetrahedron but with vertices and edges slightly cut. Its density is θ_{max}=0.41278±0.00059 and is higher than the mean packing fraction of spheres or cuboids but is lower than that for the densest RSA packings built of ellipsoids or spherocylinders. The density autocorrelation function of the studied packings is typical for random media and vanishes very quickly with distance.
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Affiliation(s)
- Piotr Kubala
- M. Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
| | - Michał Cieśla
- M. Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
| | - Robert M Ziff
- Center for the Study of Complex Systems and Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109-2136, USA
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12
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Amirifar R, Dong K, Zeng Q, An X. Self-assembly of granular spheres under one-dimensional vibration. SOFT MATTER 2018; 14:9856-9869. [PMID: 30480310 DOI: 10.1039/c8sm01763h] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The self-assembly of uniform granular spheres is related to the fundamentals of granular matter such as the transitions of phases, order/disorder and jamming states. This paper presents a DEM (discrete element method) study of the continuous self-assembly of uniform granular spheres from random close packing (RCP) to partially and nearly fully ordered packings under one-dimensional (1D) sinusoidal vibration without other interventions. The effects of the vibration amplitude and frequency are investigated in a wide range. The structures of the packings are characterized in terms of packing fraction and other microscopic structural parameters, including the coordination number, bond-orientational orders, and, in particular, ordered clusters, by adaptive common neighbor analysis (a-CNA). It is shown that 1D vibrations can also lead to the self-assembly of uniform granular spheres with packing fractions exceeding the RCP limit, and FCC (face centered cubic) and HCP (hexagonal close packed) structures coexist in the self-assembled packings while their total fraction can reach nearly 100%. The structures of these packings can be better correlated with the vibration velocity amplitude rather than the commonly used vibration intensity. The dynamics of such self-assembly is also preliminarily analyzed. Our study not only presents the conditions for the self-assembly of uniform granular spheres under 1D vibration, but also characterizes the order-disorder transitions during the process, which can improve our understanding of the fundamentals of granular materials and jamming states.
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Affiliation(s)
- Reza Amirifar
- Centre for Infrastructure Engineering, Western Sydney University, Sydney, Australia.
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13
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Schure MR, Maier RS. Ellipsoidal particles for liquid chromatography: Fluid mechanics, efficiency and wall effects. J Chromatogr A 2018; 1580:30-48. [DOI: 10.1016/j.chroma.2018.09.051] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/13/2018] [Revised: 09/16/2018] [Accepted: 09/24/2018] [Indexed: 10/28/2022]
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14
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Abstract
The subject of this study was random sequential adsorption of cuboids of axes length ratio of a : 1 : b for a ∈ [0.3, 1.0] and b ∈ [1.0, 2.0], and the aim of this study was to find a shape that provides the highest packing fraction. The obtained results show that the densest packing fraction is 0.401 87 ± 0.000 97 and is reached for axes ratios near cuboids of 0.75:1:1.30. Kinetics of packing growth was also studied, and it was observed that its power-law character seems not to be governed by the number of cuboid degrees of freedom. The microstructural properties of obtained packings were studied in terms of density correlation function and propagation of orientational ordering.
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Affiliation(s)
- Michał Cieśla
- M. Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
| | - Piotr Kubala
- M. Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
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15
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Bautista-Carbajal G, Gurin P, Varga S, Odriozola G. Phase diagram of hard squares in slit confinement. Sci Rep 2018; 8:8886. [PMID: 29891959 PMCID: PMC5995855 DOI: 10.1038/s41598-018-26922-3] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2018] [Accepted: 05/21/2018] [Indexed: 12/02/2022] Open
Abstract
This work shows a complete phase diagram of hard squares of side length σ in slit confinement for H < 4.5, H being the wall to wall distance measured in σ units, including the maximal packing fraction limit. The phase diagram exhibits a transition between a single-row parallel 1-\documentclass[12pt]{minimal}
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\begin{document}$${\boldsymbol{\simeq }}$$\end{document}≃ 2.005. In this triple point there coexists the 1-\documentclass[12pt]{minimal}
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\begin{document}$$\hat{\diamond }$$\end{document}◇ˆ structures. For regions Hc(3) < H < Hc(4) and Hc(4) < H < Hc(5), very similar pictures arise. There is a (n − 1)-\documentclass[12pt]{minimal}
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\begin{document}$${\diamond }$$\end{document}◇ structures. The similarities found for n = 2, 3 and 4 lead us to propose a tentative phase diagram for Hc(n) < H < Hc(n + 1) (n ∈ \documentclass[12pt]{minimal}
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\begin{document}$${\diamond }$$\end{document}◇ fill the phase diagram. Simulation and Onsager theory results are qualitatively consistent.
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Affiliation(s)
- Gustavo Bautista-Carbajal
- Academia de Matemáticas, Universidad Autónoma de la Ciudad de México, 07160, México, Distrito Federal, Mexico
| | - Péter Gurin
- Institute of Physics and Mechatronics, University of Pannonia, P.O. Box 158, Veszprém, H-8201, Hungary
| | - Szabolcs Varga
- Institute of Physics and Mechatronics, University of Pannonia, P.O. Box 158, Veszprém, H-8201, Hungary
| | - Gerardo Odriozola
- Área de Física de Procesos Irreversibles, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Azcapotzalco, Av. San Pablo 180, 02200, CD, México, Mexico.
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16
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Affiliation(s)
- Michał Cieśla
- M. Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
| | - Piotr Kubala
- M. Smoluchowski Institute of Physics, Department of Statistical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
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