Phase transitions in coupled exclusion processes constituted by TASEP and two-lane SEPs

2014 ◽  
Vol 28 (08) ◽  
pp. 1450064 ◽  
Author(s):  
Yu-Qing Wang ◽  
Rui Jiang ◽  
Qing-Song Wu ◽  
Hai-Yi Wu
Keyword(s):  
Particle Density ◽  
Mean Field ◽  
Exclusion Process ◽  
Field Analysis ◽  
Exclusion Processes ◽  
Density Profiles ◽  
One Dimensional ◽  
Asymmetric Simple Exclusion ◽  
Splitting Parameter ◽  
Simple Exclusion

This paper studies the periodic one-dimensional exclusion processes constituted by totally asymmetric simple exclusion process (TASEP) and two-lane simple exclusion processes (SEP). TASEP and SEP compete with each other. Complemented by Monte Carlo simulations, mean-field analysis has been performed. Varying current splitting parameter θ, diffusivity rate D1 (or D2) and the global particle density np, we have studied phase diagrams, typical density profiles and current diagrams.

THEORETICAL INVESTIGATION OF ASYMMETRIC SIMPLE EXCLUSION PROCESSES WITH OFF-RAMP ON THE BOUNDARIES

2012 ◽  
Vol 26 (24) ◽  
pp. 1250155 ◽  
Author(s):  
SONG XIAO ◽  
SHUYING WU ◽  
LIQIONG TANG ◽  
DONGSHENG ZHENG ◽  
JING SHANG
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Computer Simulations ◽  
Mean Field Theory ◽  
Mean Field ◽  
Exclusion Processes ◽  
Density Profiles ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion ◽  
Good Agreement

In this letter, asymmetric simple exclusion processes with off-ramp on the boundaries have been studied by asymmetric simple exclusion processes (ASEPs). In this model, particles can only detach from a single off-ramp on the boundaries of the system. The phase diagrams and density profiles are calculated by approximate mean field theory and have shown good agreement with the extensive Monte Carlo computer simulations.

Phase transitions in three-lane TASEPs with weak coupling

2014 ◽  
Vol 28 (15) ◽  
pp. 1450123 ◽  
Author(s):  
Yu-Qing Wang ◽  
Rui Jiang ◽  
Qing-Song Wu ◽  
Hai-Yi Wu
Keyword(s):  
Weak Coupling ◽  
Mean Field ◽  
System Size ◽  
Field Analysis ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Exclusion Processes ◽  
Density Profiles ◽  
Lane Changing ◽  
Asymmetric Simple Exclusion

This paper studies three-lane totally asymmetric simple exclusion processes (TASEP) with weak coupling under open boundary conditions. Here, particles can hop along each lane or hop to the adjacent lane. Besides, the lane-changing rates are inversely proportional to the system size L. Complemented by Monte Carlo simulations, mean-field analysis has been performed. The phase diagrams, density profiles and current profiles have been calculated. Moreover, the bulk-induced shock has been found in the system.

The zone strong coupling two-channel totally asymmetric simple exclusion processes

Open Physics ◽  
2011 ◽  
Vol 9 (4) ◽  
Author(s):  
Song Xiao ◽  
Liqiong Tang ◽  
Hua Wang
Keyword(s):  
Strong Coupling ◽  
Stationary Phases ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Exclusion Processes ◽  
Density Profiles ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion ◽  
Parallel Channels

AbstractThis article investigates the zone strong coupling two-channel totally asymmetric simple exclusion processes (TASEPs). The study is based on Pronina and Kolomeisky’s work [J. Phys. A-Math. Gen. 37, 9907 (2004)], in which the coupling exists within two whole parallel channels. Zone strong coupling two-channel TASEPs focuses on the behavior and the effect of a particular segment rather than the whole channel. The study shows that there are five possible stationary phases; LD/LD, HD/HD, MC/LD, LD/HD, and MC/HD. The phase diagrams and the density profiles are investigated using computer Monte Carlo simulations and mean-field approximation. The outcomes of the simulations match agreeably with the analytical predictions.

THEORETICAL INVESTIGATION OF SYNCHRONOUS TOTALLY ASYMMETRIC SIMPLE EXCLUSION PROCESS WITH DETACHMENT

2011 ◽  
Vol 25 (12) ◽  
pp. 1585-1592
Author(s):  
SONG XIAO ◽  
JIU-JU CAI ◽  
MING-ZHE LIU ◽  
FEI LIU
Keyword(s):  
Stationary Phases ◽  
Mean Field ◽  
Exclusion Process ◽  
Asymmetric Simple Exclusion Process ◽  
Dimensional System ◽  
One Dimensional ◽  
Simple Exclusion Process ◽  
Asymmetric Simple Exclusion ◽  
The Mean ◽  
Simple Exclusion

This paper investigates a synchronous totally asymmetric simple exclusion process (TASEP) with a detachment in a one-dimensional system. In the model, particles can detach irreversibly with probability q from a bulk site which is far away from boundaries. The phase diagram of the model is calculated in the mean-field approach and verified by Monte Carlo simulations. There are five stationary phases in the system. With the increase of q, the regions of the LD/LD and MC/LD phases increase, while the regions of the HD/HD and LD/HD phases decrease. The MC/HD phase corresponds to a critical point.

A stochastic airplane boarding model in a framework of ASEP with distinguishable particles

2018 ◽  
Vol 29 (10) ◽  
pp. 1850093
Author(s):  
ShengJie Qiang ◽  
Bin Jia ◽  
QingXia Huang
Keyword(s):  
Removal Rate ◽  
Exclusion Process ◽  
System Size ◽  
Nonequilibrium Systems ◽  
One Dimensional ◽  
Simple Exclusion Process ◽  
Maximum Current ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion ◽  
The Difference

The asymmetric simple exclusion process (ASEP) is a paradigmatic model for nonequilibrium systems and has been used in many applications. Airplane boarding provides another interesting example where this framework can be applied. We propose a simple model for boarding process, in which a particle moves along a one-dimensional aisle after being injected, and finally is removed at a reserved site. Different from the typical ASEP model, particles are removed in a disorderly or a parallel way. Detailed calculations and discussions of some related characteristics, such as mean boarding time and parallelism indicator, are provided based on Monte-Carlo simulations. Results show that three phases exist in the boarding process: free-flow, jamming and maximum current. Transitions between these phases are governed by the difference between the injection and removal rate. Further analysis shows how the scaling behavior depends on the system size and the boarding conditions. Those results emphasize the importance of utilizing the whole length of the aisle to reduce the boarding time when designing an efficient boarding strategy.

Stochastic comparisons of density profiles for the road-hog process

1991 ◽  
Vol 28 (04) ◽  
pp. 852-863
Author(s):  
Rengarajan Srinivasan
Keyword(s):  
Exclusion Process ◽  
Stochastic Ordering ◽  
Asymmetric Simple Exclusion Process ◽  
The Other ◽  
Density Profiles ◽  
Poisson Input ◽  
Simple Exclusion Process ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion ◽  
The Right

We consider the asymmetric simple exclusion process which starts from a product measure such that all the sites to the left of zero (including zero) are occupied and the right of 0 (excluding 0) are empty. We label the particle initially at 0 as the leading particle. We study the long-term behaviour of this process near large sites when the leading particle's holding time is different from that of the other particles. In particular, we assume that the leading particle moves at a slower rate than the other particles. We call this modified asymmetric simple exclusion process the road-hog process. Coupling and stochastic ordering techniques are used to derive the density profile of this process. Road-hog processes are useful in modelling series of exponential queues with Poisson and non-Poisson input process. The density profiles dramatically illustrate the flow of customers through the queues.

Cluster mean-field dynamics in one-dimensional TASEP with inner interactions and Langmuir dynamics

2019 ◽  
Vol 33 (02) ◽  
pp. 1950012 ◽  
Author(s):  
Yu-Qing Wang ◽  
Zi-Huan Zhang
Keyword(s):  
Statistical Physics ◽  
Interacting Particle Systems ◽  
Research Work ◽  
Mean Field ◽  
Exclusion Process ◽  
Driven Diffusive Systems ◽  
One Dimensional ◽  
Proposed Model ◽  
Asymmetric Simple Exclusion ◽  
Non Equilibrium

In the area of statistical physics, totally asymmetric simple exclusion process (TASEP) is treated as one of the most important driven-diffusive systems. It contains profound non-equilibrium statistical physics mechanisms due to being the paradigm model like Ising model. Different with previous work, a one-dimensional TASEP coupled with inner interactions and Langmuir dynamics is taken into account. Weak coupled binding and unbinding rates are introduced in the proposed model. Bond breaking and making mechanisms of self-driven particles illustrating the unidirectional movement of protein motors are investigated by means of performing cluster mean-field analyses. Dynamics in the proposed system dominated by the competition between the attraction effect and the repulsion one are found to depend on the specific value of the interaction energy of these active particles. The research work will be helpful for understanding non-equilibrium statistical behaviors of interacting particle systems.

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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