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.

Full text not available from this repository.

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 |
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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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