Path integrals and fluctuations in irreversible thermodynamics

A. J. McKane; F. Vázquez

doi:10.1103/PhysRevE.70.046135

Path integrals and fluctuations in irreversible thermodynamics

A. J. McKane
, F. Vázquez

Research output: Contribution to journal › Article › peer-review

Abstract

The set of stochastic differential equations which describe fluctuations in linear irreversible thermodynamics in terms of path integrals was studied. The stochastic terms which are added to the linearized macroscopic equations were found to have a singular correlation matrix. A path-integral representation which is valid independent of the correlation matrix was constructed. The approach was found to emphasize the role of the response and correlation functions as basic elements of the theory.

Original language	English
Article number	046135
Pages (from-to)	1-46135
Number of pages	46134
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	70
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.70.046135
Publication status	Published - Oct 2004

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title = "Path integrals and fluctuations in irreversible thermodynamics",

abstract = "The set of stochastic differential equations which describe fluctuations in linear irreversible thermodynamics in terms of path integrals was studied. The stochastic terms which are added to the linearized macroscopic equations were found to have a singular correlation matrix. A path-integral representation which is valid independent of the correlation matrix was constructed. The approach was found to emphasize the role of the response and correlation functions as basic elements of the theory.",

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AB - The set of stochastic differential equations which describe fluctuations in linear irreversible thermodynamics in terms of path integrals was studied. The stochastic terms which are added to the linearized macroscopic equations were found to have a singular correlation matrix. A path-integral representation which is valid independent of the correlation matrix was constructed. The approach was found to emphasize the role of the response and correlation functions as basic elements of the theory.

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Path integrals and fluctuations in irreversible thermodynamics

Abstract

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