Dynamical transition in the TASEP with Langmuir kinetics: Mean-field theory
| Autor: | Marco Zamparo, Alessandro Pelizzola, Marco Pretti, D. Botto |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Langmuir Langmuir kinetics General Physics and Astronomy FOS: Physical sciences driven-diffusive model 01 natural sciences 010305 fluids & plasmas Quantitative Biology::Subcellular Processes Singularity Phase (matter) 0103 physical sciences Statistical physics 010306 general physics Condensed Matter - Statistical Mechanics Mathematical Physics Physics Steady state Statistical Mechanics (cond-mat.stat-mech) dynamical transition Cellular Automata and Lattice Gases (nlin.CG) Statistical and Nonlinear Physics Mathematical Physics (math-ph) mean-field theoryTASEP Asymmetric simple exclusion process Critical value Mean field theory Modeling and Simulation Thermodynamic limit Nonlinear Sciences - Cellular Automata and Lattice Gases |
| Zdroj: | Journal of physics. A, Mathematical and theoretical 52 (2019): 045001-1–045001-35. doi:10.1088/1751-8121/aaf1f8 info:cnr-pdr/source/autori:Botto D.; Pelizzola A.; Pretti M.; Zamparo M./titolo:Dynamical transition in the TASEP with Langmuir kinetics: Mean-field theory/doi:10.1088%2F1751-8121%2Faaf1f8/rivista:Journal of physics. A, Mathematical and theoretical (Print)/anno:2019/pagina_da:045001-1/pagina_a:045001-35/intervallo_pagine:045001-1–045001-35/volume:52 |
| DOI: | 10.1088/1751-8121/aaf1f8 |
| Popis: | We develop a mean-field theory for the totally asymmetric simple exclusion process (TASEP) with open boundaries, in order to investigate the so-called dynamical transition. The latter phenomenon appears as a singularity in the relaxation rate of the system toward its non-equilibrium steady state. In the high-density (low-density) phase, the relaxation rate becomes independent of the injection (extraction) rate, at a certain critical value of the parameter itself, and this transition is not accompanied by any qualitative change in the steady-state behavior. We characterize the relaxation rate by providing rigorous bounds, which become tight in the thermodynamic limit. These results are generalized to the TASEP with Langmuir kinetics, where particles can also bind to empty sites or unbind from occupied ones, in the symmetric case of equal binding/unbinding rates. The theory predicts a dynamical transition to occur in this case as well. Comment: 37 pages (including 16 appendix pages), 6 figures. Submitted to Journal of Physics A |
| Databáze: | OpenAIRE |
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