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… 
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