Inhomogeneous Fermi and quantum spin systems on lattices
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
24/10/2013
24/10/2013
2012
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Resumo |
We study the thermodynamic properties of a certain type of space-inhomogeneous Fermi and quantum spin systems on lattices. We are particularly interested in the case where the space scale of the inhomogeneities stays macroscopic, but very small as compared to the side-length of the box containing fermions or spins. The present study is however not restricted to "macroscopic inhomogeneities" and also includes the (periodic) microscopic and mesoscopic cases. We prove that - as in the homogeneous case - the pressure is, up to a minus sign, the conservative value of a two-person zero-sum game, named here thermodynamic game. Because of the absence of space symmetries in such inhomogeneous systems, it is not clear from the beginning what kind of object equilibrium states should be in the thermodynamic limit. However, we give rigorous statements on correlations functions for large boxes. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4763465] Spanish "Ministerio de Ciencia e Innovacion" [MTM2010-16843] Spanish Ministerio de Ciencia e Innovacion "Inneruniversitare Forschungsforderung" of the Johannes Gutenberg University in Mainz Inneruniversitare Forschungsforderung of the Johannes Gutenberg University in Mainz |
Identificador |
JOURNAL OF MATHEMATICAL PHYSICS, MELVILLE, v. 53, n. 12, supl. 1, Part 3, pp. 270-275, DEC, 2012 0022-2488 http://www.producao.usp.br/handle/BDPI/35857 10.1063/1.4763465 |
Idioma(s) |
eng |
Publicador |
AMER INST PHYSICS MELVILLE |
Relação |
JOURNAL OF MATHEMATICAL PHYSICS |
Direitos |
restrictedAccess Copyright AMER INST PHYSICS |
Palavras-Chave | #EQUILIBRIUM STATISTICAL-MECHANICS #EXTENDED HUBBARD-MODEL #ATOMIC LIMIT #SUPERCONDUCTIVITY #FIELD #PHYSICS, MATHEMATICAL |
Tipo |
article original article publishedVersion |