362 citations · 1.1k across the 36 of their papers we have counts for
8 papers · 1 filter
Biology and nonequilibrium: remarks on a paper by J.L. England
David Ruelle
This note analyzes the physical basis of J.R. England's paper "Statistical physics of self-replication." [J. Chem. Phys. {\bf 139}, 121923(2013)]. We follow England's use of time-r…
Characterization of Lee-Yang polynomials
David Ruelle
The Lee-Yang circle theorem describes complex polynomials of degree in with all their zeros on the unit circle . These polynomials are obtained by taking $z_1=...=z_…
How should one define entropy production for nonequilibrium quantum spin systems?
David Ruelle
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…
Topics in quantum statistical mechanics and operator algebras
David Ruelle
The language of operator algebras is of great help for the formulation of questions and answers in quantum statistical mechanics. In Chapter 1 we present a minimal mathematical int…
Grace-like polynomials
David Ruelle
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…
Entropy production in quantum spin systems
David Ruelle
We consider a quantum spin system consisting of a finite subsystem connected to infinite reservoirs at different temperatures. In this setup we define nonequilibrium steady states…
A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit
D. Ruelle
The Gaussian isokinetic and isoenergetic thermostats of Hoover and Evans are formally equivalent as remarked by Gallavotti, Rondoni and Cohen. But outside of equilibrium the fluctu…
Natural nonequilibrium states in quantum statistical mechanics
David Ruelle
A quantum spin system is discussed, where a heat flow between infinite reservoirs takes place in a finite region. A time dependent force may also be acting. Our analysis is based o…