Engineered Swift Equilibration for Arbitrary Geometries

15 Dec 2020  ·  Adam G. Frim, Adrianne Zhong, Shi-Fan Chen, Dibyendu Mandal, Michael R. DeWeese ·

Engineered swift equilibration (ESE) is a class of driving protocols that enforce an instantaneous equilibrium distribution with respect to external control parameters at all times during rapid state transformation of open, classical non-equilibrium systems. ESE protocols have previously been derived and experimentally realized for Brownian particles in simple, one-dimensional, time-varying trapping potentials; one recent study considered ESE in two-dimensional Euclidean configuration space... Here we extend the ESE framework to generic, overdamped Brownian systems in arbitrary curved configuration spaces and illustrate our results with specific examples not amenable to previous techniques. Our approach may be used to impose the necessary dynamics to control the full configurational distribution in a wide variety of experimentally realizable settings. read more

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Statistical Mechanics