Nonequilibrium Phase Transition to Anomalous Diffusion and Transport in a Basic Model of Nonlinear Brownian Motion

Goychuk I, Pöschel T (2021)


Publication Type: Journal article

Publication year: 2021

Journal

Book Volume: 127

Article Number: 110601

Journal Issue: 11

DOI: 10.1103/PhysRevLett.127.110601

Abstract

We investigate a basic model of nonlinear Brownian motion in a thermal environment, where nonlinear friction interpolates between viscous Stokes and dry Coulomb friction. We show that superdiffusion and supertransport emerge as a nonequilibrium critical phenomenon when such a Brownian motion is driven out of thermal equilibrium by a constant force. Precisely at the edge of a phase transition, velocity fluctuations diverge asymptotically and diffusion becomes superballistic. The autocorrelation function of velocity fluctuations in this nonergodic regime exhibits a striking aging behavior.

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How to cite

APA:

Goychuk, I., & Pöschel, T. (2021). Nonequilibrium Phase Transition to Anomalous Diffusion and Transport in a Basic Model of Nonlinear Brownian Motion. Physical Review Letters, 127(11). https://dx.doi.org/10.1103/PhysRevLett.127.110601

MLA:

Goychuk, Igor, and Thorsten Pöschel. "Nonequilibrium Phase Transition to Anomalous Diffusion and Transport in a Basic Model of Nonlinear Brownian Motion." Physical Review Letters 127.11 (2021).

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