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 (Unpublished)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)
Subjects:	Q Science > QC Physics
Divisions:	Faculty of 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:	Date Event 15 April 2019 Issued
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Status:	Not Peer Reviewed
Publication Status:	Unpublished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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