Non-Equilibrium Steady States of the XY Chain

We study the non-equilibrium statistical mechanics of the two-sided XY chain. We start from an initial state in which the left (x<-M) and right (x>M) part of the lattice are at inverse temperatures betaL and betaR. Using a simple scattering theoretic analysis, we construct the unique non-equil...

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Bibliographic Details
Published inJournal of statistical physics Vol. 112; pp. 1153 - 1175
Main Authors Pillet, Claude-Alain, Aschbacher, Walter H.
Format Journal Article
LanguageEnglish
Published Springer Verlag 01.09.2003
Subjects
Mathematical Physics
Mathematics
scattering theory
XY chain
nonequilibrium steady state
Jordan–Wigner transformation
Bogoliubov automorphism
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Summary:We study the non-equilibrium statistical mechanics of the two-sided XY chain. We start from an initial state in which the left (x<-M) and right (x>M) part of the lattice are at inverse temperatures betaL and betaR. Using a simple scattering theoretic analysis, we construct the unique non-equilibrium steady state (NESS). This state depends on betaL and betaR, but not on the choice of the decoupling parameter M. We prove that in the non-equilibrium case, betaL>betaR, this state has strictly positive entropy production.
ISSN:0022-4715
1572-9613
DOI:10.1023/A:1024619726273