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Time reversal of the overdamped Langevin equation and Fixman’s law
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Dyer, Oliver T. and Ball, Robin (2019) Time reversal of the overdamped Langevin equation and Fixman’s law. Working Paper. Coventry: University of Warwick. (Unpublished)
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Abstract
We show that the first order Langevin equation for the overdamped dynamics of an interacting system has a natural time reversal of simple but surprising form. This leads to a clear derivation of Fixman’s relation for how interactions modify the time dependent response of the system, and we show the application to the time dependent diffusion of dilute polymer coils. We find the generalized “Fixman Law” for dissipation with a memory kernel, and we also discuss the case of the second order Langevin Equation.
Item Type: | Working or Discussion Paper (Working Paper) | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||
Library of Congress Subject Headings (LCSH): | Langevin equations, Time reversal | ||||
Publisher: | University of Warwick | ||||
Place of Publication: | Coventry | ||||
Official Date: | 15 April 2019 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Unpublished | ||||
Funder: | Engineering and Physical Sciences Research Council | ||||
Grant number: | EP/L505110/1 |
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