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Reconstruction lemma and fluctuation-dissipation theorem

Reconstruction lemma and fluctuation-dissipation theorem
Reconstruction lemma and fluctuation-dissipation theorem
We discuss a new approach to nonequilibrium statistical thermodynamics based on mappings of the microscopic dynamics into the macroscopic dynamics. Near stationary solutions, this mapping results in a compact formula for the macroscopic vector field without a hypothesis of a separation of time scales. Relations of this formula to short-memory approximation, the Green-Kubo formula, and expressions of transport coefficients in terms of Lyapunov exponents are discussed.
0035-001X
238 -242
Gorban, Alexander N.
31914661-757a-4b6b-a953-109ac7499746
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d
Gorban, Alexander N.
31914661-757a-4b6b-a953-109ac7499746
Karlin, Iliya V.
3331716f-692a-4b81-87a4-9aad489d025d

Gorban, Alexander N. and Karlin, Iliya V. (2002) Reconstruction lemma and fluctuation-dissipation theorem. Revista Mexicana de Fisica, 48 (Suplemento 1.), 238 -242.

Record type: Article

Abstract

We discuss a new approach to nonequilibrium statistical thermodynamics based on mappings of the microscopic dynamics into the macroscopic dynamics. Near stationary solutions, this mapping results in a compact formula for the macroscopic vector field without a hypothesis of a separation of time scales. Relations of this formula to short-memory approximation, the Green-Kubo formula, and expressions of transport coefficients in terms of Lyapunov exponents are discussed.

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More information

Submitted date: 19 March 2001
Published date: September 2002
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Identifiers

Local EPrints ID: 49174
URI: http://eprints.soton.ac.uk/id/eprint/49174
ISSN: 0035-001X
PURE UUID: 54f207a2-d0f0-49ad-89c3-a8274a84bf99

Catalogue record

Date deposited: 26 Oct 2007
Last modified: 08 Jan 2022 13:02

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Contributors

Author: Alexander N. Gorban
Author: Iliya V. Karlin

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