Expectation Identities for Dynamical Systems: A Classical Analog of the Ehrenfest Theorem

8 Pages Posted: 3 Sep 2024

See all articles by Abiam Tamburrini

Abiam Tamburrini

Universidad de Chile

Sergio Davis

affiliation not provided to SSRN

Diego González

Universidad Catolica del Norte

Pablo S. Moya

Universidad de Chile

Abstract

Extracting useful information from probabilistic models for dynamical systems is a considerable challenge that limits the applications of the methods in kinetic theory and non-equilibrium statistical mechanics. In this work, we present a general expectation identity that allows the construction of the dynamical  equation associated with an arbitrary classical observable. We show the equivalence of this identity with the different evolution equations derived from the continuity equation such as the Fokker-Planck and Liouville equations.

Keywords: Nonequilibrium, Dynamical System.

Suggested Citation

Tamburrini, Abiam and Davis, Sergio and González, Diego and Moya, Pablo S., Expectation Identities for Dynamical Systems: A Classical Analog of the Ehrenfest Theorem. Available at SSRN: https://ssrn.com/abstract=4944473 or http://dx.doi.org/10.2139/ssrn.4944473

Abiam Tamburrini (Contact Author)

Universidad de Chile ( email )

Chile

Sergio Davis

affiliation not provided to SSRN ( email )

No Address Available

Diego González

Universidad Catolica del Norte ( email )

Avda Angamos 0610
Antofagasta
Chile

Pablo S. Moya

Universidad de Chile ( email )

Chile

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