Expectation Identities for Dynamical Systems: A Classical Analog of the Ehrenfest Theorem
8 Pages Posted: 3 Sep 2024
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: 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
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