Derivation of the nonlinear fluctuating hydrodynamic equation from underdamped Langevin equation

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dc.creatorNakamura, Takenobu
dc.creatorYoshimori, Akira
dc.date2008-07-30
dc.date.accessioned2026-07-07T12:47:25Z
dc.date.available2026-07-07T12:47:25Z
dc.descriptionWe 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 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0807.4768
dc.identifierhttp://arxiv.org/abs/0807.4768
dc.identifier2009 J. Phys. A: Math. Theor. 42 065001 (15pp)
dc.identifierdoi:10.1088/1751-8113/42/6/065001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221717
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleDerivation of the nonlinear fluctuating hydrodynamic equation from underdamped Langevin equation
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