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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.09492 |
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| _version_ | 1866909237289943040 |
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| author | Rosembach, Tiago Venzel Dias, Ana Luiza Novaes Dickman, Ronald |
| author_facet | Rosembach, Tiago Venzel Dias, Ana Luiza Novaes Dickman, Ronald |
| contents | We study a discrete-space model of active matter with excluded volume. Particles are restricted to the sites of a triangular lattice, and can assume one of three orientations. Varying the density and noise intensity, Monte Carlo simulations reveal a variety of spatial patterns. Ordered states occur in the form of condensed structures, which (away from the full occupancy limit) coexist with a low-density vapor. The condensed structures feature low particle mobility, particularly those that wrap the system via the periodic boundaries. As the noise intensity is increased, dense structures give way to a disordered phase. We characterize the parameter values associated with the condensed phases and perform a detailed study of the order-disorder transition at (1) full occupation and (2) at a density of 0.1. In the former case, the model possesses the same symmetry as the three-state Potts model and exhibits a continuous phase transition, as expected, with critical exponents consistent with those of the associated Potts model. In the low-density case, the transition is clearly discontinuous, with strong dependence of the final state upon the initial configuration, hysteresis,and nonmonotonic dependence of the Binder cumulant upon noise intensity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09492 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Three-state active lattice gas: a discrete Vicseklike model with excluded volume Rosembach, Tiago Venzel Dias, Ana Luiza Novaes Dickman, Ronald Statistical Mechanics We study a discrete-space model of active matter with excluded volume. Particles are restricted to the sites of a triangular lattice, and can assume one of three orientations. Varying the density and noise intensity, Monte Carlo simulations reveal a variety of spatial patterns. Ordered states occur in the form of condensed structures, which (away from the full occupancy limit) coexist with a low-density vapor. The condensed structures feature low particle mobility, particularly those that wrap the system via the periodic boundaries. As the noise intensity is increased, dense structures give way to a disordered phase. We characterize the parameter values associated with the condensed phases and perform a detailed study of the order-disorder transition at (1) full occupation and (2) at a density of 0.1. In the former case, the model possesses the same symmetry as the three-state Potts model and exhibits a continuous phase transition, as expected, with critical exponents consistent with those of the associated Potts model. In the low-density case, the transition is clearly discontinuous, with strong dependence of the final state upon the initial configuration, hysteresis,and nonmonotonic dependence of the Binder cumulant upon noise intensity. |
| title | Three-state active lattice gas: a discrete Vicseklike model with excluded volume |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2312.09492 |