{"paper":{"title":"Constructing a statistical mechanics for Beck-Cohen superstatistics","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andre M. C. Souza, Constantino Tsallis","submitted_at":"2002-06-04T17:16:56Z","abstract_excerpt":"The basic aspects of both Boltzmann-Gibbs (BG) and nonextensive statistical mechanics can be seen through three different stages. First, the proposal of an entropic functional\n ($S_{BG} =-k\\sum_i p_i \\ln p_i$ for the BG formalism) with the appropriate constraints\n ($\\sum_i p_i=1$ and $\\sum_i p_i E_i = U$ for the BG canonical ensemble). Second, through optimization, the equilibrium or stationary-state distribution\n ($p_i = e^{-\\beta E_i}/Z_{BG}$ with $Z_{BG}=\\sum_j e^{-\\beta E_j}$ for BG). Third, the connection to thermodynamics (e.g., $F_{BG}= -\\frac{1}{\\beta}\\ln Z_{BG}$ and\n $U_{BG}=-\\frac{\\p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0206044","kind":"arxiv","version":1},"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"}