Theoretical investigation of totally asymmetric exclusion processes on lattices with junctions

DOI10.1088/1742-5468/2005/07/P07010zbMath1456.82690arXivcond-mat/0505227MaRDI QIDQ4968865

Anatoly B. Kolomeisky, Ekaterina Pronina

Publication date: 9 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0505227

zbMATH Keywords

driven diffusive systems (theory)stochastic particle dynamics (theory)molecular motors (theory)

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Biochemistry, molecular biology (92C40)

Related Items (4)

Stochastic modelling of collective motor protein transport through a crossing of microtubules ⋮ Defect-induced transitions in synchronous asymmetric exclusion processes ⋮ Theoretical study of network junction models for totally asymmetric exclusion processes with interacting particles ⋮ Comparison of travel time for particles with different route-choice methods in two-route traffic models

Cites Work

• Shocks and excitation dynamics in a driven diffusive two-channel system
• Traffic of molecular motors through tube-like compartments
• Effect of detachments in asymmetric simple exclusion processes
• Asymmetric simple exclusion model with local inhomogeneity
• Two-way traffic flow: Exactly solvable model of traffic jam
• Phase diagram of one-dimensional driven lattice gases with open boundaries
• Spontaneous symmetry breaking in a non-conserving two-species driven model
• Local inhomogeneity in asymmetric simple exclusion processes with extended objects
• Infinite reflections of shock fronts in driven diffusive systems with two species
• Two-channel totally asymmetric simple exclusion processes
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Exactly Solvable Models for Many-Body Systems Far from Equilibrium

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