Mean-Field Theory for the Three-State Active Lattice Gas Model
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908991073812480 |
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| author | Dias, Ana L. N. Dickman, Ronald Rosembach, Tiago Venzel |
| author_facet | Dias, Ana L. N. Dickman, Ronald Rosembach, Tiago Venzel |
| contents | We develop a mean-field description including spatial structure for a simplified version of the three-state active matter model studied by Venzel et al. (Phys. Rev. E 110, 014109 (2024)). The resulting triangular lattice of coupled nonlinear differential equations are integrated numerically using a fourth-order Runge-Kutta scheme. Starting from various ordered initial configurations, we probe the stability of the corresponding stationary states, revealing the presence of various high-density ordered structures in the density(\r{ho})-noise(η) plane. The results are compared with Monte Carlo simulations of the simplified model, yielding, in certain cases, unexpected transitions between ordered configuration types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22536 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mean-Field Theory for the Three-State Active Lattice Gas Model Dias, Ana L. N. Dickman, Ronald Rosembach, Tiago Venzel Statistical Mechanics We develop a mean-field description including spatial structure for a simplified version of the three-state active matter model studied by Venzel et al. (Phys. Rev. E 110, 014109 (2024)). The resulting triangular lattice of coupled nonlinear differential equations are integrated numerically using a fourth-order Runge-Kutta scheme. Starting from various ordered initial configurations, we probe the stability of the corresponding stationary states, revealing the presence of various high-density ordered structures in the density(\r{ho})-noise(η) plane. The results are compared with Monte Carlo simulations of the simplified model, yielding, in certain cases, unexpected transitions between ordered configuration types. |
| title | Mean-Field Theory for the Three-State Active Lattice Gas Model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2604.22536 |