Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 48: Statistical Physics far from Thermal Equilibrium

DY 48.5: Talk

Thursday, March 19, 2020, 10:30–10:45, ZEU 147

Diffusion System with Lorentz Force — •Iman Abdoli¹, Hidde Derk Vuijk¹, Holger Merlitz¹, Jens-Uwe Sommer^{1, 2}, Joseph Michael Brader³, and Abhinav Sharma^{1, 2} — ¹Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Deutschland — ²Technische Universität Dresden, Institut für Theoretische Physik, 01069 Dresden, Deutschland — ³Department de Physique, Université de Fribourg, CH-1700 Fribourg, Suisse

In the presence of Lorentz force arising from an external magnetic field the Fokker-Planck equation picks up a tensorial coefficient, which reflects the anisotropy of the particle's motion. Lorentz force gives rise to diffusive or irrotational fluxes and Brownian vortexes or solenoidal fluxes along and perpendicular to the density gradients, respectively. We first study the systems in which these Brownian vortexes can be ignored in the time evolution of the density. We then investigate how these vortexes influence the probability density function (or PDF) of the particle's positions in the nonequilibrium stationary state of a diffusion system under stochastic resetting with Lorentz force. Next, we show, analytically and computationally, that the solenoidal fluxes persist in the stationary state of a diffusive system with two different temperatures.