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Mariz, Constantino Tsallis","submitted_at":"2011-06-15T20:50:51Z","abstract_excerpt":"We unify two paradigmatic mesoscopic mechanisms for the emergence of nonextensive statistics, namely the multiplicative noise mechanism leading to a {\\it linear} Fokker-Planck (FP) equation with {\\it inhomogenous} diffusion coefficient, and the non-Markovian process leading to the {\\it nonlinear} FP equation with {\\it homogeneous} diffusion coefficient. More precisely, we consider the equation $\\frac{\\partial p(x,t)}{\\partial t}=-\\frac{\\partial}{\\partial x}[F(x) p(x,t)] + 1/2D \\frac{\\partial^2}{\\partial x^2} [\\phi(x,p)p(x,t)]$, where $D \\in {\\cal R}$ and $F(x)=-\\partial V(x) /\\partial x$, $V(x"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1106.3100","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-06-15T20:50:51Z","cross_cats_sorted":[],"title_canon_sha256":"cf2641b6596e4f68d14c08f0b2c8e38958cd05ba64d811ec9e6356fbda001a0e","abstract_canon_sha256":"1682ca670e0835bd28099c07c6bba9fa0af649f689ee8cb5cddfc45635927306"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:36.608562Z","signature_b64":"I/D2Tbc4Ynvm5f8CEMAcc3W806HfMr09Dv8fcWaTw/8TwDu6rKZ2bzzNGK7bzt5jmosBYJRFXTc4fYgydU0vDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d450daf28f046a27d9495ea0e05214ab7dd1c9d922d4906b025b22213af51fb","last_reissued_at":"2026-05-18T02:01:36.608009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:36.608009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Long memory constitutes a unified mesoscopic mechanism consistent with nonextensive statistical mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Ananias M. 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