Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916551506001920 |
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| author | Erignoux, Clément Roget, Alexandre Shapira, Assaf Simon, Marielle |
| author_facet | Erignoux, Clément Roget, Alexandre Shapira, Assaf Simon, Marielle |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09324 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas Erignoux, Clément Roget, Alexandre Shapira, Assaf Simon, Marielle Statistical Mechanics Probability 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. |
| title | Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas |
| topic | Statistical Mechanics Probability |
| url | https://arxiv.org/abs/2403.09324 |