 02459 W.H. Aschbacher C.A. Pillet
 NonEquilibrium Steady States of the XY Chain
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Nov 14, 02

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Abstract. We study the nonequilibrium statistical mechanics of the twosided XY chain. We start from an initial state in which the left and right part of
the lattice
{xx<M} and {xx>M},
are at inverse temperatures beta_L and beta_R.
Using a simple scattering theoretic analysis, we construct the unique
nonequilibrium steady state (NESS). This state depends on beta_L and beta_R, but not on the choice of the decoupling parameter M. We prove
that in the nonequilibrium case, beta_L \not= beta_R, this state has
strictly positive entropy production.
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