Condensed Matter > Statistical Mechanics
[Submitted on 20 Jun 2019 (v1), last revised 19 Nov 2019 (this version, v3)]
Title:Single-file transport in periodic potentials: The Brownian asymmetric exclusion process
View PDFAbstract:Single-file Brownian motion in periodic structures is an important process in nature and technology, which becomes increasingly amenable for experimental investigation under controlled conditions. To explore and understand generic features of this motion, the Brownian asymmetric simple exclusion process (BASEP) was recently introduced. The BASEP refers to diffusion models, where hard spheres are driven by a constant drag force through a periodic potential. Here, we derive general properties of the rich collective dynamics in the BASEP. Average currents in the steady state change dramatically with the particle size and density. For an open system coupled to particle reservoirs, extremal current principles predict various nonequilibrium phases, which we verify by Brownian dynamics simulations. For general pair interactions we discuss connections to single-file transport by traveling-wave potentials and prove the impossibility of current reversals in systems driven by a constant drag and by traveling waves.
Submission history
From: Philipp Maass [view email][v1] Thu, 20 Jun 2019 08:14:04 UTC (723 KB)
[v2] Thu, 19 Sep 2019 07:44:26 UTC (844 KB)
[v3] Tue, 19 Nov 2019 10:50:25 UTC (842 KB)
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