Macroscopic dynamics through coarse-graining: a solvable example
Macroscopic dynamics through coarse-graining: a solvable example
The recently derived fluctuation-dissipation formula [A. N. Gorban et al., Phys. Rev. E 63, 066124 (2001)] is illustrated by the explicit computation for McKean's kinetic model [H. P. McKean, J. Math. Phys. 8, 547 (1967)]. It is demonstrated that the result is identical, on the one hand, to the sum of the Chapman-Enskog expansion, and, on the other hand, to the exact solution of the invariance equation. The equality between all three results holds up to the crossover from the hydrodynamic to the kinetic domain.
026116-[5pp]
Gorban, Alexander N.
31914661-757a-4b6b-a953-109ac7499746
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
February 2002
Gorban, Alexander N.
31914661-757a-4b6b-a953-109ac7499746
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Gorban, Alexander N. and Karlin, Iliya V.
(2002)
Macroscopic dynamics through coarse-graining: a solvable example.
Physical Review E, 65 (2), .
(doi:10.1103/PhysRevE.65.026116).
Abstract
The recently derived fluctuation-dissipation formula [A. N. Gorban et al., Phys. Rev. E 63, 066124 (2001)] is illustrated by the explicit computation for McKean's kinetic model [H. P. McKean, J. Math. Phys. 8, 547 (1967)]. It is demonstrated that the result is identical, on the one hand, to the sum of the Chapman-Enskog expansion, and, on the other hand, to the exact solution of the invariance equation. The equality between all three results holds up to the crossover from the hydrodynamic to the kinetic domain.
This record has no associated files available for download.
More information
Published date: February 2002
Identifiers
Local EPrints ID: 49183
URI: http://eprints.soton.ac.uk/id/eprint/49183
ISSN: 1063-651X
PURE UUID: 2eee7fed-113d-42fe-9829-9bf50b382ca0
Catalogue record
Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:53
Export record
Altmetrics
Contributors
Author:
Alexander N. Gorban
Author:
Iliya V. Karlin
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics