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.

Effect of hopping rates coupled with on-ramp on the phase diagrams of totally asymmetric simple exclusion process

2019 ◽  
Vol 33 (13) ◽  
pp. 1950127 ◽  
Author(s):  
Song Xiao ◽  
Xiaoyu Chen ◽  
Jianhui Shi ◽  
Yanna Liu
Keyword(s):  
Field Theory ◽  
Phase Diagrams ◽  
Mean Field Theory ◽  
Mean Field ◽  
Exclusion Process ◽  
Asymmetric Simple Exclusion Process ◽  
Simple Exclusion Process ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion ◽  
Theoretical Results

In this paper, the effect of different hopping rates coupled with on-ramp on the phase diagrams has been investigated by totally asymmetric simple exclusion process (TASEP). The topology of phase diagrams on different hopping rates and on-ramp has been obtained. Additionally, the corresponding phase diagrams and the existing condition are given by approximate mean field theory, and the theoretical results agree well with Monte Carlo simulations.

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.

SINGLE ON-RAMP IN ASYMMETRIC SIMPLE EXCLUSION PROCESSES

2012 ◽  
Vol 26 (06) ◽  
pp. 1150036 ◽  
Author(s):  
SONG XIAO ◽  
MINGZHE LIU ◽  
JING SHANG
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Mean Field ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Attachment Rate ◽  
Exclusion Processes ◽  
Asymmetric Simple Exclusion ◽  
Simple Exclusion ◽  
Five Phases

This paper studies the single on-ramp in a totally asymmetric simple exclusion processes (TASEPs). In our model, particles can only attach irreversibly with rate q to a bulk site k + 1, which is far away from boundaries. The model is investigated under random sequential update and open boundary conditions by using Monte Carlo simulations and mean-field calculations. In the case of hopping rate p = 1, when attachment rate q is fixed and q < 0.5, there are five phases in the system, while when q > 0.5, the system includes only four phases and the LD/LD phase vanishes.

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.

scholarly journals Magnetism of finite graphene samples: Mean-field theory compared with exact diagonalization and quantum Monte Carlo simulations

2010 ◽  
Vol 81 (11) ◽  
Author(s):  
Hélène Feldner ◽  
Zi Yang Meng ◽  
Andreas Honecker ◽  
Daniel Cabra ◽  
Stefan Wessel ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Quantum Monte Carlo ◽  
Mean Field Theory ◽  
Mean Field ◽  
Exact Diagonalization ◽  
Quantum Monte Carlo Simulations

Electronic and magnetic properties of honeycomb transition metal monolayers: first-principles insights

2014 ◽  
Vol 16 (26) ◽  
pp. 13383-13389 ◽  
Author(s):  
Xinru Li ◽  
Ying Dai ◽  
Yandong Ma ◽  
Baibiao Huang
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Magnetic Properties ◽  
Transition Metal ◽  
First Principles ◽  
Mean Field Theory ◽  
Mean Field ◽  
Electronic And Magnetic Properties ◽  
Dirac Systems

The electronic and magnetic properties of d-electron-based Dirac systems are studied by combining first-principles with mean field theory and Monte Carlo approaches.

scholarly journals Magnetocaloric Effect in Nanosystems Based on Ferromagnets with Different Curie Temperatures

2021 ◽  
Vol 132 (1) ◽  
pp. 79-93
Author(s):  
M. A. Kuznetsov ◽  
A. B. Drovosekov ◽  
A. A. Fraerman
Keyword(s):  
Field Theory ◽  
Magnetocaloric Effect ◽  
Landau Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Maxwell Relation ◽  
Magnetic Cooling ◽  
The Mean ◽  
Curie Temperatures ◽  
Good Agreement

Abstract The magnetocaloric effect in nanosystems based on exchange-coupled ferromagnets with different Curie temperatures is calculated within the mean-field theory. Good agreement between the results of the mean-field theory and the Landau theory, valid near the critical phase transition temperature, is demonstrated for a flat-layered Fe/Gd/Fe structure. We show that a high magnetic cooling efficiency in this system is attainable in principle and prove the validity of the Maxwell relation, enabling an experimental verification of the predictions made. The theory developed for flat-layered structures is generalized to a granular medium.

Normal Grain Growth: Monte Carlo Potts Model Simulation and Mean-Field Theory

2008 ◽  
pp. 3-18 ◽  
Author(s):  
D. Zöllner ◽  
P. Streitenberger
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Grain Growth ◽  
Potts Model ◽  
Model Simulation ◽  
Mean Field Theory ◽  
Mean Field

Ferrimagnetic mixed Ising spin (7/2, 1/2) system: By Mean Field Theory, exact recursion relations and Monte Carlo method

2021 ◽  
pp. 413627
Author(s):  
G. Dimitri Ngantso ◽  
M. Karimou ◽  
A.L. Okana-Lomanga ◽  
A. Kadiri ◽  
R.A. Yessoufou ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Mean Field Theory ◽  
Mean Field ◽  
Recursion Relations ◽  
Ising Spin
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