Showing papers by "David Ruelle published in 2002"
TL;DR: In this paper, the authors discuss entropy production in nonequilibrium steady states for infinite quantum spin systems, and show that some questions of principle remain to be clarified in this area.
Abstract: This paper discusses entropy production in nonequilibrium steady states for infinite quantum spin systems. Rigorous results have been obtained recently in this area, but a physical discussion shows that some questions of principle remain to be clarified.
16 citations
11 citations
01 Feb 2002
TL;DR: In this article, a natural class of polynomials, called Grace-like polynomorphisms, are defined and characterizations of these polynomial classes are obtained.
Abstract: Results of somewhat mysterious nature are known on the location of zeros of certain polynomials associated with statistical mechanics (Lee-Yang circle theorem) and also with graph counting. In an attempt at clarifying the situation we introduce and discuss here a natural class of polynomials. Let $P(z_1,...,z_m,w_1,...,w_n)$ be separately of degree 1 in each of its $m+n$ arguments. We say that $P$ is a Grace-like polynomial if $P(z_1,...,w_n)
e0$ whenever there is a circle in ${\bf C}$ separating $z_1,...,z_m$ from $w_1,...,w_n$. A number of properties and characterizations of these polynomials are obtained.
7 citations