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Updated: Jun 10, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas
Clément Erignoux1, Alexandre Roget2, Assaf Shapira3
1<a href="https://ror.org/022gakr41">Inria</a> DRACULA, <a href="https://ror.org/01ekw7f87">ICJ</a> UMR5208, CNRS, Ecole Centrale de Lyon, INSA Lyon, Universite Claude Bernard Lyon 1, <a href="https://ror.org/04yznqr36">Université Jean Monnet</a>, 69603 Villeurbanne, France.
Abstract:
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.
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