Origin of the Landau-Lifshitz hydrodynamic fluctuations in nonequilibrium systems and a new method for reducing the Boltzmann equation |
| |
Authors: | Kazuko T Mashiyama Hazime Mori |
| |
Institution: | (1) Department of Physics, Kyushu University, Fukuoka, Japan |
| |
Abstract: | The Landau-Lifshitz fluctuating fluxes in fluctuating hydrodynamics are derived from the deterministic Boltzmann equation with the aid of a reduction method developed by Fujisaka and Mori. Thus it is shown that the hydrodynamic fluctuations innonequilibrium systems are generated by the reduction of variables from the-space distribution function to its five momentum moments, i.e., the hydrodynamic variables. This differs from the Bixon-Zwanzig and Fox-Uhlenbeck theories, in which the Landau-Lifshitz fluctuating fluxes are derived from the molecular fluctuating force in thestochastic Boltzmann-Langevin equation, which is, however, negligible in nonequilibrium systems. Thus the present method improves the Chapman-Enskog reduction method so as to include the hydrodynamic fluctuations generated by the reduction of variables.Supported in part by the Scientific Research Fund of the Ministry of Education. |
| |
Keywords: | Reduction of variables generation of fluctuations fluctuating forces the Boltzmann equation collisional invariants hydrodynamic variables conservation laws transport fluxes fluctuating fluxes the fluctuation-dissipation theorem of the second kind |
本文献已被 SpringerLink 等数据库收录! |