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.

INVESTIGATION OF ASYMMETRIC SIMPLE EXCLUSION PROCESSES WITH ZONED INHOMOGENEITY AND ON-RAMP

2013 ◽  
Vol 27 (09) ◽  
pp. 1350062 ◽  
Author(s):  
SONG XIAO ◽  
JIN-YI BAI
Keyword(s):  
Phase Diagram ◽  
Theoretical Analysis ◽  
Phase Diagrams ◽  
Heavy Traffic ◽  
Ramp Rate ◽  
Exclusion Processes ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion

In this paper, theoretical analysis and extensive simulations are used to investigate asymmetric simple exclusion processes (ASEPs) with zoned inhomogeneity and on-ramp in a single-lane system. There are five possible phase diagrams with different hopping rate p and on-ramp rate q. Interestingly, the MC/MC, MC/LD and MC/HD phase can exist in the phase diagram with different hopping rate p and on-ramp rate q. When the on-ramp rate is fixed, with the decreasing of hopping rate, the HD/HD phase shrinks, it implies the heavy traffic in the system.

Physical mechanisms in impacts of interaction factors on totally asymmetric simple exclusion processes

2019 ◽  
Vol 33 (20) ◽  
pp. 1950217 ◽  
Author(s):  
Yu-Qing Wang ◽  
Jia-Wei Wang ◽  
Bing-Hong Wang
Keyword(s):  
Stochastic Dynamics ◽  
Exclusion Process ◽  
Characteristic Parameter ◽  
Exclusion Processes ◽  
Physical Mechanisms ◽  
Interaction Factor ◽  
Interaction Factors ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion ◽  
The Impact

Exclusion processes are hot study issues in statistical physics and corresponding complex systems. Among fruitful exclusion processes, totally asymmetric simple exclusion process (namely, TASEP) attracts much attention due to its insight physical mechanisms in understanding such nonequilibrium dynamical processes. However, interactions among isolated TASEP are the core of controlling the dynamics of multiple TASEPs that are composed of a certain amount of isolated one-dimensional TASEP. Different from previous researches, the interaction factor is focused on the critical characteristic parameter used to depict the interaction intensity of these components of TASEPs. In this paper, a much weaker constraint condition [Formula: see text] is derived as the analytical expression of interaction factor. Self-propelled particles in the subsystem [Formula: see text] of multiple TASEPs can perform hopping forward at [Formula: see text], moving into the target site of the (i − 1)th TASEP channel at [Formula: see text] or updating into the (i + 1)th TASEP channel at [Formula: see text]. The comparison of this proposed interaction factor and other previous factors is performed by investigating the computational efficiency of obtaining analytical solutions and simulation ones of order parameters of the proposed TASEP system. Obtained exact solutions are observed to match well with Monte Carlo simulations. This research attempts to have a more comprehensive interpretation of physical mechanisms in the impact of interaction factors on TASEPs, especially corresponding to stochastic dynamics of self-propelled particles in such complex statistical dynamical systems.

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