Physical review. E· 2026Q2
Mean-field theory for the three-state active lattice gas model
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- Q2SCImago
- 2026year
Short summary
A new mean-field theory with spatial structure describes a three-state active matter model, revealing unexpected transitions between ordered configurations via numerical integration and comparison with Monte Carlo simulations.
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Key points
- A mean-field theory incorporating spatial structure was developed for a three-state active matter model.
- Numerical integration of coupled nonlinear differential equations revealed high-density ordered structures.
- Unexpected transitions between ordered configurations were observed when comparing theory to Monte Carlo simulations.
AI-generated from the title and abstract; the full text is not read.
Abstract
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.
The authors' abstract, as published at the source. Physical review. E, 2026 · DOI ↗
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Field: Computer Networks and Communications
Computer Networks and CommunicationsComputer Science