Repository: Freie Universität Berlin, Math Department

Markovian embedding of generalized Langevin equations with a nonlinear friction kernel and configuration-dependent mass

Ayaz, Cihan and Tepper, Lucas and Netz, Roland R. (2022) Markovian embedding of generalized Langevin equations with a nonlinear friction kernel and configuration-dependent mass. Turkish Journal of Physics, 46 (6). pp. 194-205.

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Official URL: https://doi.org/10.55730/1300-0101.2726

Abstract

We consider a generalized Langevin equation (GLE) in which the deterministic force, the mass and the friction kernel are configuration-dependent, i.e. general nonlinear functions of the reaction coordinate. We introduce a projection operator that allows for a self-consistent Markovian embedding of such GLEs. Selfconsistency means that trajectories generated by the Markovian embedding are described by a GLE with the same configuration-dependent deterministic force, mass and friction kernel. Using the projection operator, we derive a closed-form relation between the parameters of the Markovian embedding Langevin equations and the parameters of the GLE. This is accomplished by applying the projection operator formalism to the system of Markovian embedding stochastic equations.

Item Type:Article
Subjects:Mathematical and Computer Sciences
Mathematical and Computer Sciences > Mathematics
Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2976
Deposited By: Monika Drueck
Deposited On:03 May 2023 09:29
Last Modified:03 May 2023 09:29

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