Mean-field analysis for Asymmetric Exclusion Processes on two parallel lattices with fully parallel dynamics

2019 ◽  
Vol 516 ◽  
pp. 317-326 ◽  
Author(s):  
Zhongjun Ding ◽  
Teng Liu ◽  
Xinxin Lou ◽  
Zhiwei Shen ◽  
Kongjin Zhu ◽  
...  
Keyword(s):  
Mean Field ◽  
Field Analysis ◽  
Exclusion Processes ◽  
Parallel Dynamics ◽  
Asymmetric Exclusion ◽  
Asymmetric Exclusion Processes

ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A JUNCTION: THE EFFECT OF UNEQUAL INJECTION RATES

2009 ◽  
Vol 20 (06) ◽  
pp. 967-978 ◽  
Author(s):  
XIONG WANG ◽  
RUI JIANG ◽  
KATSUHIRO NISHINARI ◽  
MAO-BIN HU ◽  
QING-SONG WU
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Exclusion Processes ◽  
Asymmetric Exclusion ◽  
Asymmetric Exclusion Processes ◽  
Injection Rates

Asymmetric exclusion processes (ASEP) on lattices with a junction, in which two or more parallel lattice branches combine into a single one, is important as a model for complex transport phenomena. This paper investigates the effect of unequal injection rates in ASEP with a junction. It is a generalization of the work of Pronina and Kolomeisky [J. Stat. Mech. P07010 (2005)], in which only equal injection rates are considered. It is shown that the unequal rates give rise to new phases and the phase diagram structure is qualitatively changed. The phase diagram and the density profiles are investigated by using Monte Carlo simulations, mean field approximation and domain wall approach. The analytical results are in good agreement with Monte Carlo simulations.

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.

Zoned Inhomogeneity in Asymmetric Exclusion Processes with Random Update and Off-Ramp

2014 ◽  
Vol 1049-1050 ◽  
pp. 1586-1594
Author(s):  
Ya Fei Wang ◽  
Bing Qi Liu ◽  
Gang Yang ◽  
Xu Cao
Keyword(s):  
Theoretical Analysis ◽  
Phase Diagrams ◽  
Ramp Rate ◽  
Exclusion Processes ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion ◽  
Asymmetric Exclusion ◽  
Asymmetric Exclusion Processes

In this letter, we investigate asymmetric simple exclusion processes (ASEPs) with zoned inhomogeneity and off-ramp by the means of theoretical analysis and simulations. According to the theoretical analysis, we can find that the phase diagrams existing in this one-lane system varies with different hopping rate p and off-ramp rate q and the condition for p<0.5 and p>0.5 is distinctly different . It should be noticed that LD/LD, LD/HD and MC/HD can exist in this system no matter how hopping rate p and off-ramp rate q change.

Sign in / Sign up

Export Citation Format

Share Document