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Mean-field theory for the three-state active lattice gas model
Phys. Rev. E 114, 054118 – Published 9 November, 2026
DOI: https://doi.org/10.1103/xgn6-78vz
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-noise plane. The results are compared with Monte Carlo simulations of the simplified model, yielding, in certain cases, unexpected transitions between ordered configuration types.
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References (28)
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