Nondiffusive Fluxes in Brownian System with Lorentz Force

Abstract

The Fokker-Planck equation provides complete statistical description of a particle undergoing random motion in a solvent. In the presence of Lorentz force due to an external magnetic field, the Fokker-Planck equation picks up a tensorial coefficient, which reflects the anisotropy of the particle's motion. This tensor, however, can not be interpreted as a diffusion tensor; there are antisymmetric terms which give rise to fluxes perpendicular to the density gradients. Here, we show that for an inhomogeneous magnetic field these nondiffusive fluxes have finite divergence and therefore affect the density evolution of the system. Only in the special cases of a uniform magnetic field or carefully chosen initial condition with the same symmetry as the magnetic field can these fluxes be ignored in the density evolution.

arXiv comment7 Pages, 4 Figures

References in corpus (11)

• 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
• Light-induced self-assembly of active rectification devices
• The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction
• Escape rate of active particles in the effective equilibrium approach
• 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
• Pseudochemotaxis in inhomogeneous active Brownian systems
• Anomalous fluxes in overdamped Brownian dynamics with Lorentz force

Cited by in corpus (15)

• Inertial effects of self-propelled particles: from active Brownian to active Langevin motion
• Odd Diffusivity of Chiral Random Motion
• Collisions enhance self-diffusion in odd-diffusive systems
• Oscillatory force autocorrelations in equilibrium odd-diffusive systems
• Correlations in multithermostat Brownian systems with Lorentz force
• Unusual stationary state in Brownian systems with Lorentz force
• The Dance of Odd-Diffusive Particles: A Fourier Approach
• Escape Dynamics in an Anisotropically Driven Brownian Magneto-System
• Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"
• (Nonequilibrium) dynamics of diffusion processes with non-conservative drifts
• Quantum kinetic theory of flux-carrying Brownian particles
• Anomalous transport phenomenon of a charged Brownian particle under the thermal gradient and the magnetic field
• Active chiral molecules in activity gradients
• Thermodynamic uncertainty relation in the overdamped limit with a magnetic Lorentz force
• Brownian magneto-gyrator as a tunable microengine