{ "id": "1210.5819", "version": "v1", "published": "2012-10-22T07:41:31.000Z", "updated": "2012-10-22T07:41:31.000Z", "title": "Absence of Detailed Balance in Ecology", "authors": [ "Jacopo Grilli", "Sandro Azaele", "Jayanth R. Banavar", "Amos Maritan" ], "comment": "8 pages, 3 figures. Accepted for publication in EPL", "journal": "EPL, 100 (2012) 38002", "doi": "10.1209/0295-5075/100/38002", "categories": [ "cond-mat.stat-mech", "physics.bio-ph", "q-bio.PE" ], "abstract": "Living systems are typically characterized by irreversible processes. A condition equivalent to the reversibility is the detailed balance, whose absence is an obstacle for analytically solving ecological models. We revisit a promising model with an elegant field-theoretic analytic solution and show that the theoretical analysis is invalid because of an implicit assumption of detailed balance. A signature of the difficulties is evident in the inconsistencies appearing in the many-point correlation functions and in the analytical formula for the species area relationship.", "revisions": [ { "version": "v1", "updated": "2012-10-22T07:41:31.000Z" } ], "analyses": { "keywords": [ "detailed balance", "elegant field-theoretic analytic solution", "species area relationship", "many-point correlation functions", "implicit assumption" ], "tags": [ "journal article" ], "publication": { "journal": "EPL (Europhysics Letters)", "year": 2012, "month": "Nov", "volume": 100, "number": 3, "pages": 38002 }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012EL....10038002G" } } }