A Direct Method for the Analyticity of the Pressure for Certain Classical Unbounded Models
Author(s) -
Assane Lo
Publication year - 2011
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2011/808276
Subject(s) - limit (mathematics) , class (philosophy) , mathematics , statistical mechanics , thermodynamic limit , calculus (dental) , statistical physics , mathematical analysis , computer science , physics , medicine , dentistry , artificial intelligence
The goal of this paper is to provide estimates leading to a direct proofof the analyticity of the pressure for certain classical unbounded models. We use our new formula (Lo, 2007) to establish the analyticity of the pressure in the thermodynamic limit for a wide class of classical unbounded modelsin statistical mechanics
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