Quantum Macrostatistical Picture of Nonequilibrium Steady States

Author: Sewell Geoffrey  

Publisher: Springer Publishing Company

ISSN: 0377-9017

Source: Letters in Mathematical Physics, Vol.68, Iss.1, 2004-04, pp. : 53-65

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Abstract

We apply our quantum macrostatistical treatment of irreversible processes to prove that, in nonequilibrium steady states, (a) the hydrodynamical observables execute a generalised Onsager–Machlup process and (b) the spatial correlations of these observables are generically of long range. The key assumptions behind these results are a nonequilibrium version of Onsager regression hypothesis, together with certain hypotheses of chaoticity and local equilibrium for hydrodynamical fluctuations.