Exclusion processes on a growing domain

2009 ◽  
Vol 259 (3) ◽  
pp. 541-551 ◽  
Author(s):  
Benjamin J. Binder ◽  
Kerry A. Landman
Keyword(s):  
Exclusion Processes ◽  
Growing Domain

STUDY OF RANDOM PARTICLE TRAFFIC ON A MULTI-LATTICE JUNCTION

2013 ◽  
Vol 27 (09) ◽  
pp. 1350063 ◽  
Author(s):  
SHAODA LI ◽  
MINGZHE LIU ◽  
MIN ZHOU ◽  
YIZHANG YIN
Keyword(s):  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Low Density ◽  
Biological Transport ◽  
Traffic Dynamics ◽  
Exclusion Processes ◽  
Density Profiles ◽  
Random Particle ◽  
Asymmetric Exclusion Processes

In this paper, we investigate particle traffic on an m-input n-output (MINO) junction using totally asymmetric exclusion processes (TASEPs) under random sequential update. The model is suitable for description of biological transport. A general theoretical solution for traffic dynamics of TASEPs is developed based on a mean-field approximation. It is found that the low-density and high-density regions can be calculated qualitatively and quantitatively once the number of m and/or n is determined. The phase diagram, system current and density profiles are obtained through theoretical analysis and supported by Monte Carlo simulations. Comparison between a m-input n-output TASEP junction in random and parallel sequential updates has also been reported.

scholarly journals Multivariate Eulerian Polynomials and Exclusion Processes

2016 ◽  
Vol 25 (4) ◽  
pp. 486-499 ◽  
Author(s):  
P. BRÄNDÉN ◽  
M. LEANDER ◽  
M. VISONTAI
Keyword(s):  
Finite Number ◽  
Exclusion Process ◽  
Partition Functions ◽  
Asymmetric Exclusion Process ◽  
Negative Dependence ◽  
Combinatorial Interpretation ◽  
Exclusion Processes ◽  
Eulerian Polynomials ◽  
The Third ◽  
Dependence Properties

We give a new combinatorial interpretation of the stationary distribution of the (partially) asymmetric exclusion process on a finite number of sites in terms of decorated alternative trees and coloured permutations. The corresponding expressions of the multivariate partition functions are then related to multivariate generalisations of Eulerian polynomials for coloured permutations considered recently by N. Williams and the third author, and others. We also discuss stability and negative dependence properties satisfied by the partition functions.

scholarly journals Density fluctuations for exclusion processes with long jumps

2017 ◽  
Vol 170 (1-2) ◽  
pp. 311-362 ◽  
Author(s):  
Patrícia Gonçalves ◽  
Milton Jara
Keyword(s):  
Density Fluctuations ◽  
Exclusion Processes
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