The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory

2008/06/10 by Hainzl, Christian, Lewin, Mathieu, Solovej, Jan Philip · 1 citation
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0806.1708

Abstract

This article is the first in a series dealing with the thermodynamic properties of quantum Coulomb systems. In this first part, we consider a general real-valued function E defined on all bounded open sets of \R³. Our aim is to give sufficient conditions such that E has a thermodynamic limit. This means that the limit E(Ω_n)|Ω_n|^-1 exists for all `regular enough' sequence Ω_n with growing volume, |Ω_n|→\ii, and is independent of the considered sequence. The sufficient conditions presented in our work all have a clear physical interpretation. In the next paper, we show that the free energies of many different quantum Coulomb systems satisfy these assumptions, hence have a thermodynamic limit.

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