English

Quantum macrostatistical picture of nonequilibrium steady states

Mathematical Physics 2009-11-10 v2 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0403017,
  title  = {Quantum macrostatistical picture of nonequilibrium steady states},
  author = {Geoffrey L. Sewell},
  journal= {arXiv preprint arXiv:math-ph/0403017},
  year   = {2009}
}

Comments

TeX, 13 pages

R2 v1 2026-07-22T16:24:10.061Z