# The interplay between memory and potentials of mean force: A discussion on the structure of equations of motion for coarse grained observables

@article{Glatzel2021TheIB, title={The interplay between memory and potentials of mean force: A discussion on the structure of equations of motion for coarse grained observables}, author={Fabian Glatzel and Tanja Schilling}, journal={EPL (Europhysics Letters)}, year={2021} }

The underdamped, non-linear, generalized Langevin equation is widely used to model coarsegrained dynamics of soft and biological materials. By means of a projection operator formalism, we show under which approximations this equation can be obtained from the Hamiltonian dynamics of the underlying microscopic system and in which cases it makes sense to introduce a potential of mean force. We discuss shortcomings of previous derivations presented in the literature and demonstrate the implications…

## 2 Citations

Position-dependent memory kernel in generalized Langevin equations: theory and numerical estimation

- Physics
- 2022

Generalized Langevin equations with non-linear forces and position-dependent linear friction memory kernels, such as commonly used to describe the effective dynamics of coarsegrained variables in…

Non-Markovian systems out of equilibrium: Exact results for two routes of coarse graining

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- 2021

Generalized Langevin equations (GLEs) can be systematically derived via dimensional reduction from high-dimensional microscopic systems. For linear models the derivation can either be based on…

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