Multi-scale projection operator method and coarse-graining of covariant Fokker-Planck theory

A multi-scale projection operator method is developed and applied to study coarse-graining of covariant Fokker-Planck theory and the associated Ito-Langevin dynamics. Explicit expressions for the renormalized kinetic coefficients are obtained. It is also proved that the property of detailed balance...

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Bibliographic Details
Main Authors: Mingnan Ding, Xiangjun Xing
Format: Article
Language:English
Published: American Physical Society 2023-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.013193