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

Authors

CIHAN AYAZ
LUCAS TEPPER
ROLAND R. NETZ

DOI

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. Self-consistency 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.

Keywords

Non-Markovian processes, Markovian embedding, nonlinear friction, configuration-dependent mass

First Page

194

Last Page

205

Recommended Citation

AYAZ, CIHAN; TEPPER, LUCAS; and NETZ, ROLAND R. (2022) "Self-consistent Markovian embedding of generalized Langevin equations with configuration-dependent mass and a nonlinear friction kernel," Turkish Journal of Physics: Vol. 46: No. 6, Article 4. https://doi.org/10.55730/1300-0101.2726
Available at: https://journals.tubitak.gov.tr/physics/vol46/iss6/4