Derivation of the nonlinear fluctuating hydrodynamic equation from the underdamped Langevin equation

Takenobu Nakamura, Akira Yoshimori

    Research output: Contribution to journalArticle

    15 Citations (Scopus)

    Abstract

    We derive the fluctuating hydrodynamic equation for the number and momentum densities exactly from the underdamped Langevin equation. This derivation is an extension of the Kawasaki-Dean formula in the underdamped case. The steady-state probability distribution of the number and momentum densities field can be expressed by the kinetic and potential energies. In the massless limit, the obtained fluctuating hydrodynamic equation reduces to the Kawasaki-Dean equation. Moreover, the derived equation corresponds to the field equation derived from the canonical equation when the friction coefficient is zero.

    Original languageEnglish
    Article number065001
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume42
    Issue number6
    DOIs
    Publication statusPublished - 2009 Apr 20

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Modelling and Simulation
    • Mathematical Physics
    • Physics and Astronomy(all)

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