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Approximate Descriptions of Brownian Particles Driven by Weakly Coloured Noise

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If you have a question about this talk, please contact Professor Mike Cates .

Brownian particles driven by weakly coloured Gaussian noise provide a useful framework for studying active matter. Two different theoretical approaches have been applied to this class of systems: one based on the effective Fokker-Planck equations (the Fox and unified coloured noise approximations), and the other based on a perturbative solution of the Ornstein-Uhlenbeck process. While both methods give the same leading-order corrections to the white-noise limit, nontrivial disagreements appear from the second and higher order. In this talk, I will review the methods and discuss how they yield different criteria for the existence of steady-state currents and long-range correlations.

This talk is part of the DAMTP Statistical Physics and Soft Matter Seminar series.

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