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Self-Consistent Markovian Embedding Of Generalized Langevin Equations With Configuration-Dependent Mass And A Nonlinear Friction Kernel, Cihan Ayaz, Lucas Tepper, Roland R. Netz

Turkish Journal of Physics

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 …