1
|
Chatterjee S, Mangeat M, Woo CU, Rieger H, Noh JD. Flocking of two unfriendly species: The two-species Vicsek model. Phys Rev E 2023; 107:024607. [PMID: 36932579 DOI: 10.1103/physreve.107.024607] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/18/2022] [Accepted: 01/30/2023] [Indexed: 06/18/2023]
Abstract
We consider the two-species Vicsek model (TSVM) consisting of two kinds of self-propelled particles, A and B, that tend to align with particles from the same species and to antialign with the other. The model shows a flocking transition that is reminiscent of the original Vicsek model: it has a liquid-gas phase transition and displays micro-phase-separation in the coexistence region where multiple dense liquid bands propagate in a gaseous background. The interesting features of the TSVM are the existence of two kinds of bands, one composed of mainly A particles and one mainly of B particles, the appearance of two dynamical states in the coexistence region: the PF (parallel flocking) state in which all bands of the two species propagate in the same direction, and the APF (antiparallel flocking) state in which the bands of species A and species B move in opposite directions. When PF and APF states exist in the low-density part of the coexistence region they perform stochastic transitions from one to the other. The system size dependence of the transition frequency and dwell times show a pronounced crossover that is determined by the ratio of the band width and the longitudinal system size. Our work paves the way for studying multispecies flocking models with heterogeneous alignment interactions.
Collapse
Affiliation(s)
- Swarnajit Chatterjee
- Center for Biophysics and Department of Theoretical Physics, Saarland University, 66123 Saarbrücken, Germany
| | - Matthieu Mangeat
- Center for Biophysics and Department of Theoretical Physics, Saarland University, 66123 Saarbrücken, Germany
| | - Chul-Ung Woo
- Department of Physics, University of Seoul, Seoul 02504, Korea
| | - Heiko Rieger
- Center for Biophysics and Department of Theoretical Physics, Saarland University, 66123 Saarbrücken, Germany
- Leibniz-Institute for New Materials INM, 66123 Saarbrücken, Germany
| | - Jae Dong Noh
- Department of Physics, University of Seoul, Seoul 02504, Korea
| |
Collapse
|
2
|
|
3
|
Peled S, Ryan SD, Heidenreich S, Bär M, Ariel G, Be'er A. Heterogeneous bacterial swarms with mixed lengths. Phys Rev E 2021; 103:032413. [PMID: 33862716 DOI: 10.1103/physreve.103.032413] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/25/2020] [Accepted: 03/02/2021] [Indexed: 12/20/2022]
Abstract
Heterogeneous systems of active matter exhibit a range of complex emergent dynamical patterns. In particular, it is difficult to predict the properties of the mixed system based on its constituents. These considerations are particularly significant for understanding realistic bacterial swarms, which typically develop heterogeneities even when grown from a single cell. Here, mixed swarms of cells with different aspect ratios are studied both experimentally and in simulations. In contrast with previous theory, there is no macroscopic phase segregation. However, locally, long cells act as nucleation cites, around which aggregates of short, rapidly moving cells can form, resulting in enhanced swarming speeds. On the other hand, high fractions of long cells form a bottleneck for efficient swarming. Our results suggest a physical advantage for the spontaneous heterogeneity of bacterial swarm populations.
Collapse
Affiliation(s)
- Shlomit Peled
- Zuckerberg Institute for Water Research, The Jacob Blaustein Institutes for Desert Research, Ben-Gurion University of the Negev, Sede Boqer Campus 84990, Midreshet Ben-Gurion, Israel
| | - Shawn D Ryan
- Department of Mathematics and Statistics, Cleveland State University, Cleveland, Ohio 44115, USA.,Center for Applied Data Analysis and Modeling, Cleveland State University, Cleveland, Ohio 44115, USA
| | - Sebastian Heidenreich
- Department of Mathematical Modelling and Data Analysis, Physikalisch-Technische Bundesanstalt Braunschweig und Berlin, Abbestrasse 2-12, D-10587 Berlin, Germany
| | - Markus Bär
- Department of Mathematical Modelling and Data Analysis, Physikalisch-Technische Bundesanstalt Braunschweig und Berlin, Abbestrasse 2-12, D-10587 Berlin, Germany
| | - Gil Ariel
- Department of Mathematics, Bar-Ilan University, Ramat Gan 52900, Israel
| | - Avraham Be'er
- Zuckerberg Institute for Water Research, The Jacob Blaustein Institutes for Desert Research, Ben-Gurion University of the Negev, Sede Boqer Campus 84990, Midreshet Ben-Gurion, Israel.,Department of Physics, Ben-Gurion University of the Negev 84105, Beer-Sheva, Israel
| |
Collapse
|
4
|
Abdi H, Nejat Pishkenari H. Controlled swarm motion of self-propelled microswimmers for energy saving. JOURNAL OF MICRO-BIO ROBOTICS 2021. [DOI: 10.1007/s12213-021-00142-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|