Continuous and discontinuous waves in an ASEP with pockets. Issue 3 (10th March 2021)

• Record Type: Journal Article
• Authors: Humenyuk, Yosyp A; Kotrla, Miroslav; Slanina, František
• Is Part Of: Journal of statistical mechanics. Issue 3(2021)
• Publication Date: 2021-03-10
• Subjects: driven diffusive systems -- dynamical processes -- exclusion processes -- phase diagrams; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/abe2ae
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We consider a geometric modification of the asymmetric simple exclusion process model in which each site of a one-dimensional chain is attached to a lateral dead-end site. Since it has an uncorrelated steady state, this model shows rich density profile dynamics over large distances and timescales. We analyse various waves emerging from initial step-wise profiles. The most interesting feature is that this model demonstrates travelling rarefaction and contraction waves with a discontinuity at the leading edge.