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Authors
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Abdoli, I. ; Vuijk, H. ; Wittmann, R. ; Sommer, J.-U. ; Brader, J. M. ; Sharma, A.
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Title
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Stationary state in Brownian systems with Lorentz force
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Date
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26.06.2020
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Number
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58673
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Abstract
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In systems with overdamped dynamics, the Lorentz force reduces the diffusivity of a Brownian particle in the plane perpendicular to the magnetic field. The anisotropy in diffusion implies that the Fokker-Planck equation for the probability distribution of the particle acquires a tensorial coefficient. The tensor, however, is not a typical diffusion tensor due to the antisymmetric elements, which account for the fact that Lorentz force curves the trajectory of a moving charged particle. This gives rise to unusual dynamics with features such as additional Lorentz fluxes and a nontrivial density distribution, unlike a diffusive system. The equilibrium properties are, however, unaffected by the Lorentz force. Here we show that by stochastically resetting the Brownian particle, a nonequilibrium steady state can be created that preserves the hallmark features of dynamics under Lorentz force. We then consider a minimalistic example of a spatially inhomogeneous magnetic field, which shows how Lorentz fluxes fundamentally alter the boundary conditions giving rise to an unusual stationary state.
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Publisher
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Physical Review Research
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Wikidata
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Q108797047
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Citation
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Physical Review Research 2 (2020) 023381
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DOI
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https://doi.org/10.1103/PHYSREVRESEARCH.2.023381
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Tags
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