Quantum macrostatistical picture of nonequilibrium steady states

Abstract

We employ a 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's regression hypothesis, together with certain hypotheses of chaoticity and local equilibrium for hydrodynamical fluctuations.

arXiv commentTeX, 13 pages

References in corpus (3)

• Macroscopic fluctuation theory for stationary non equilibrium states
• Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process
• Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem

Cited by in corpus (2)

• Macrostatistics and Fluctuating Hydrodynamics
• Quantum stochastic models with hydrodynamical behaviour