Typical pure nonequilibrium steady states

Takaaki Monnai, Kazuya Yuasa

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    We show that typicality holds for a class of nonequilibrium systems, i.e., nonequilibrium steady states (NESSs): almost all the pure states properly sampled from a certain Hilbert space well represent a NESS and characterize its intrinsic thermal nature. We clarify the relevant Hilbert space from which the pure states are to be sampled, and construct practically all the typical pure NESSs. The scattering approach leads us to the natural extension of the typicality for equilibrium systems. Each pure NESS correctly yields the expectation values of observables given by the standard ensemble approach. It means that we can calculate the expectation values in a NESS with only a single pure NESS. We provide an explicit construction of the typical pure NESS for a model with two reservoirs, and see that it correctly reproduces the Landauer-type formula for the current flowing steadily between the reservoirs.

    Original languageEnglish
    Article number40006
    JournalEPL
    Volume107
    Issue number4
    DOIs
    Publication statusPublished - 2014 Aug 1

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    Hilbert space
    scattering

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Typical pure nonequilibrium steady states. / Monnai, Takaaki; Yuasa, Kazuya.

    In: EPL, Vol. 107, No. 4, 40006, 01.08.2014.

    Research output: Contribution to journalArticle

    Monnai, Takaaki ; Yuasa, Kazuya. / Typical pure nonequilibrium steady states. In: EPL. 2014 ; Vol. 107, No. 4.
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