Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas - Archive ouverte HAL
Article Dans Une Revue Physical Review E Année : 2024

Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas

Résumé

We investigate a 2d-conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density ρ c . We derive the hydrodynamic equation for this model, showing that all critical exponents governing the large scale behavior near criticality can be obtained from two independent ones. We show that as the supercritical density approaches criticality, distinct length scales naturally appear. Remarkably, this behavior is different from the subcritical one. Numerical simulations support the critical relations and the scale separation.

Dates et versions

hal-04742490 , version 1 (17-10-2024)

Identifiants

Citer

Clément Erignoux, Alexandre Roget, Assaf Shapira, Marielle Simon. Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas. Physical Review E , 2024, 110 (3), pp.L032101. ⟨10.1103/PhysRevE.110.L032101⟩. ⟨hal-04742490⟩
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