Abstract
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 is preserved by coarse-graining. These results demonstrate that covariant Fokker-Planck dynamics and covariant Ito-Langevin dynamics emerge naturally as a consequence of coarse-graining of microscopic dynamics. We illustrate our theory using several concrete examples.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.