Irreversibility in the short memory approximation
Karlin, Iliya V. ; Tatarinova, Larisa L. ; Gorban, Alexander N. ; Ottinger, Hans Christian
arXiv, 0305419 / Harvested from arXiv
Text on arXiv
A recently introduced systematic approach to derivations of the macroscopic dynamics from the underlying microscopic equations of motions in the short-memory approximation [Gorban et al, Phys. Rev. E, 63, 066124 (2001)] is presented in detail. The essence of this method is a consistent implementation of Ehrenfest's idea of coarse-graining, realized via a matched expansion of both the microscopic and the macroscopic motions. Applications of this method to a derivation of the nonlinear Vlasov-Fokker-Planck equation, diffusion equation and hydrodynamic equations of the fluid with a long-range mean field interaction are presented in full detail. The advantage of the method is illustrated by the computation of the post-Navier-Stokes approximation of the hydrodynamics which is shown to be stable unlike the Burnett hydrodynamics.
Publié le : 2003-05-18
Classification:  Condensed Matter - Statistical Mechanics,  Condensed Matter - Soft Condensed Matter,  Mathematical Physics,  Physics - Fluid Dynamics 
@article{0305419,
     author = {Karlin, Iliya V. and Tatarinova, Larisa L. and Gorban, Alexander N. and Ottinger, Hans Christian},
     title = {Irreversibility in the short memory approximation},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305419}
}

Karlin, Iliya V.; Tatarinova, Larisa L.; Gorban, Alexander N.; Ottinger, Hans Christian. Irreversibility in the short memory approximation. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305419/