Coarse-graining of microscopic dynamics into a mesoscopic transient potential model.

  title={Coarse-graining of microscopic dynamics into a mesoscopic transient potential model.},
  author={Takashi Uneyama},
  journal={Physical review. E},
  volume={101 3-1},
We show that a mesoscopic coarse-grained dynamics model which incorporates the transient potential can be formally derived from an underlying microscopic dynamics model. As a microscopic dynamics model, we employ the overdamped Langevin equation. By utilizing the path probability and the Onsager-Machlup type action, we calculate the path probability for the coarse-grained mesoscopic degrees of freedom. The action for the mesoscopic degrees of freedom can be simplified by incorporating the… 
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