On Connections between the Quantum and Hydrodynamical Pictures of Matter

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dc.creatorSewell, Geoffrey
dc.date2007-10-05
dc.date.accessioned2026-07-07T08:34:25Z
dc.date.available2026-07-07T08:34:25Z
dc.descriptionWe present a general, model-independent, quantum statistical treatment of the connection between the quantum and hydrodynamical pictures of reservoir driven macroscopic systems. This treatment is centred on the large scale properties of locally conserved hydrodynamical observables and is designed to form a bridge between quantum microdynamics and classical macroscopic continuum mechanics, rather than a derivation of the latter from the former. The key assumptions on which the treatment is based are hypotheses of chaoticity and local equilibrium for the hydrodynamical fluctuations around nonequilibrium steady states, together with an extension of Onsager's regrssion hypothesis to those states. On this basis, we establish canonical generalisations of both the Onsager reciprocity relations and the Onsager-Machlup fluctuation theory to nonequilibrium steady states, and we show that the spatial correlations of the hydrodynamical fluctuations are generically of long range in these states.
dc.descriptionTo be published in "Modern Encyclopedia of Mathematical Physics"
dc.identifierhttps://arxiv.org/abs/0710.1239
dc.identifierhttp://arxiv.org/abs/0710.1239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139432
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleOn Connections between the Quantum and Hydrodynamical Pictures of Matter
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