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

Physical Review Letters American Physical Society

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.

Authors with CRIS profile

Igor Goychuk Lehrstuhl für Multiscale Simulation of Particulate Systems (MSS) Thorsten Pöschel Lehrstuhl für Multiscale Simulation of Particulate Systems (MSS)

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://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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