Temperature of a Hamiltonian system given as the effective temperature of a nonequilibrium steady-state Langevin thermostat

Kumiko Hayashi, Mitsunori Takano

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    7 Citations (Scopus)


    In nonequilibrium steady states (NESS) far from equilibrium, it is known that the Einstein relation is violated. Then, the ratio of the diffusion coefficient to the mobility is called an effective temperature, and the physical relevance of this effective temperature has been studied in several works. Although the physical relevance is not yet completely clear, it has been found that the role of an effective temperature in NESS is indeed analogous to that of the temperature in equilibrium systems in a number of respects. In this paper, we find further evidence establishing this analogy. We employ a nonequilibrium Langevin system as a thermostat for a Hamiltonian system and find that the kinetic temperature of this Hamiltonian system is equal to the effective temperature of the thermostat.

    Original languageEnglish
    Article number050104
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Issue number5
    Publication statusPublished - 2007 Nov 28


    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Mathematical Physics

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