Continuous and discontinuous waves in an ASEP with pockets

0547739 - FZÚ 2022 RIV GB eng J - Journal Article
Humenyuk, Yosyp A. - Kotrla, Miroslav - Slanina, František
Continuous and discontinuous waves in an ASEP with pockets.
Journal of Statistical Mechanics-Theory and Experiment. Roč. 2021, č. 3 (2021), č. článku 033209. ISSN 1742-5468. E-ISSN 1742-5468
R&D Projects: GA ČR GA17-06716S
Institutional support: RVO:68378271
Keywords : driven diffusive * systems * dynamical processes * exclusion processes * phase diagrams
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 2.234, year: 2021
Method of publishing: Limited access
https://doi.org/10.1088/1742-5468/abe2ae

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.
Permanent Link: http://hdl.handle.net/11104/0323923