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={Europhysics Letters},
  year={2021},
  volume={136}
}
The underdamped, non-linear, generalized Langevin equation is widely used to model coarse-grained 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 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 of our… 

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