{"paper":{"title":"Hydrodynamics, density fluctuations and universality in conserved stochastic sandpiles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Arghya Das, Punyabrata Pradhan, Sayani Chatterjee","submitted_at":"2017-11-10T12:34:27Z","abstract_excerpt":"We study conserved stochastic sandpiles (CSSs), which exhibit an active-absorbing phase transition upon tuning density $\\rho$. We demonstrate that a broad class of CSSs possesses a remarkable hydrodynamic structure: There is an Einstein relation $\\sigma^2(\\rho) = \\chi(\\rho)/D(\\rho)$, which connects bulk-diffusion coefficient $D(\\rho)$, conductivity $\\chi(\\rho)$ and mass-fluctuation, or scaled variance of subsystem mass, $\\sigma^2(\\rho)$. Consequently, density large-deviations are governed by an equilibriumlike chemical potential $\\mu(\\rho) \\sim \\ln a(\\rho)$ where $a(\\rho)$ is the activity in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03793","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}