Anomalous fluxes in overdamped Brownian dynamics with Lorentz force

Abstract

We study the stochastic motion of a particle subject to spatially varying Lorentz force in the small-mass limit. The limiting procedure yields an additional drift term in the overdamped equation that cannot be obtained by simply setting mass to zero in the velocity Langevin equation. We show that whereas the overdamped equation of motion accurately captures the position statistics of the particle, it leads to unphysical fluxes in the system that persist in the long time limit; an anomalous result inconsistent with thermal equilibrium. These fluxes are calculated analytically from the overdamped equation of motion and found to be in quantitative agreement with Brownian dynamics simulations. Our study suggests that the overdamped approximation, though perfectly suited for position statistics, can yield unphysical values for velocity-dependent variables such as flux and entropy production.

arXiv comment9 pages, 3 figures

References in corpus (17)

• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Dynamical density functional theory and its application to spinodal decomposition
• Effective Interactions in Active Brownian Suspensions
• Structure of Stochastic Dynamics near Fixed Points
• Light-induced self-assembly of active rectification devices
• Anomalous thermodynamics at the micro-scale
• The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction
• Escape rate of active particles in the effective equilibrium approach
• Density profiles of a colloidal liquid at a wall under shear flow
• Noise-induced drift in stochastic differential equations with arbitrary friction and diffusion in the Smoluchowski-Kramers limit
• Emergence of Nonwhite Noise in Langevin Dynamics with Magnetic Lorentz Force
• Brownian systems with spatially inhomogeneous activity
• Green-Kubo approach to the average swim speed in active Brownian systems
• Linear response approach to active Brownian particles in time-varying activity fields
• Pseudochemotaxis in inhomogeneous active Brownian systems
• Entropy production of a Brownian ellipsoid in the overdamped limit
• Entropy Anomaly in Langevin-Kramers Dynamics with a Temperature Gradient, Matrix Drag, and Magnetic Field

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