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A unified approach for deriving kinetic equations in nonequilibrium statistical mechanics. I. Exact results |
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| Authors: | Leopoldo S. García-Colín Jose Luis del Rio |
| Affiliation: | (1) Department of Physics and Chemistry, Universidad Autónoma Metropolitana, Iztapalapa, México;(2) Faculty of Sciences, Universidad Nacional Autónoma de México, México;(3) School of Higher Studies in Physics and Mathematics IPN, Zacatenco, México;(4) Fellowship of COFAA-IPN, México |
| Abstract: | A unified method for deriving exact kinetic equations for dynamical quantities of a many-body system is presented. The well-known results of Mori and Zwanzig are recovered as special cases. Furthermore, it is shown that they differ only by the way in which the system is prepared at the initial time. Connections between this method and others recently developed are also discussed. |
| Keywords: | Linear and nonlinear transport equations generalized Langevin equation kinetic equation coarsegrained (mesoscopic) variables projection operators generalized projection operator correlation function memory function Fokker-Planck operator |
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