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Journal articles on the topic 'Multispecies asymmetric simple exclusion processes'

Author: Grafiati

Published: 6 September 2023

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1

Matsui, Chihiro. "Multi-state Asymmetric Simple Exclusion Processes." Journal of Statistical Physics 158, no. 1 (2014): 158–91. http://dx.doi.org/10.1007/s10955-014-1121-9.

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2

Karimipour, V. "Multispecies asymmetric simple exclusion process and its relation to traffic flow." Physical Review E 59, no. 1 (1999): 205–12. http://dx.doi.org/10.1103/physreve.59.205.

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3

Pronina, Ekaterina, and Anatoly B. Kolomeisky. "Two-channel totally asymmetric simple exclusion processes." Journal of Physics A: Mathematical and General 37, no. 42 (2004): 9907–18. http://dx.doi.org/10.1088/0305-4470/37/42/005.

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4

Roy, Dipankar. "The phase diagram for a class of multispecies permissive asymmetric exclusion processes." Journal of Statistical Mechanics: Theory and Experiment 2021, no. 1 (2021): 013201. http://dx.doi.org/10.1088/1742-5468/abc7ba.

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5

Cai, Zhong-Pan, Yao-Ming Yuan, Rui Jiang, Mao-Bin Hu, Qing-Song Wu, and Yong-Hong Wu. "Asymmetric coupling in multi-channel simple exclusion processes." Journal of Statistical Mechanics: Theory and Experiment 2008, no. 07 (2008): P07016. http://dx.doi.org/10.1088/1742-5468/2008/07/p07016.

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6

XIAO, SONG, MINGZHE LIU, and JING SHANG. "SINGLE ON-RAMP IN ASYMMETRIC SIMPLE EXCLUSION PROCESSES." Modern Physics Letters B 26, no. 06 (2012): 1150036. http://dx.doi.org/10.1142/s0217984911500369.

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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.

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7

Pronina, Ekaterina, and Anatoly B. Kolomeisky. "Asymmetric coupling in two-channel simple exclusion processes." Physica A: Statistical Mechanics and its Applications 372, no. 1 (2006): 12–21. http://dx.doi.org/10.1016/j.physa.2006.05.006.

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8

Landim, C., and H. T. Yau. "Fluctuation-dissipation equation of asymmetric simple exclusion processes." Probability Theory and Related Fields 108, no. 3 (1997): 321–56. http://dx.doi.org/10.1007/s004400050112.

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9

Tsekouras, K., and A. B. Kolomeisky. "Inhomogeneous coupling in two-channel asymmetric simple exclusion processes." Journal of Physics A: Mathematical and Theoretical 41, no. 9 (2008): 095002. http://dx.doi.org/10.1088/1751-8113/41/9/095002.

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10

Tian, Bo, Rui Jiang, Mao-Bin Hu, Zhong-Jun Ding, and Bin Jia. "Totally asymmetric simple exclusion processes on two intersected lanes." EPL (Europhysics Letters) 128, no. 4 (2020): 40005. http://dx.doi.org/10.1209/0295-5075/128/40005.

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11

Midha, Tripti, Luiza V. F. Gomes, Anatoly B. Kolomeisky, and Arvind Kumar Gupta. "Theoretical investigations of asymmetric simple exclusion processes for interacting oligomers." Journal of Statistical Mechanics: Theory and Experiment 2018, no. 5 (2018): 053209. http://dx.doi.org/10.1088/1742-5468/aac139.

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12

Shaw, Leah B., Anatoly B. Kolomeisky, and Kelvin H. Lee. "Local inhomogeneity in asymmetric simple exclusion processes with extended objects." Journal of Physics A: Mathematical and General 37, no. 6 (2004): 2105–13. http://dx.doi.org/10.1088/0305-4470/37/6/010.

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13

XIAO, SONG, SHUYING WU, LIQIONG TANG, DONGSHENG ZHENG, and JING SHANG. "THEORETICAL INVESTIGATION OF ASYMMETRIC SIMPLE EXCLUSION PROCESSES WITH OFF-RAMP ON THE BOUNDARIES." Modern Physics Letters B 26, no. 24 (2012): 1250155. http://dx.doi.org/10.1142/s0217984912501552.

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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.

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14

Landim, C., S. Olla, and H. T. Yau. "Some properties of the diffusion coefficient for asymmetric simple exclusion processes." Annals of Probability 24, no. 4 (1996): 1779–808. http://dx.doi.org/10.1214/aop/1041903206.

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15

Jiu-Ju, Cai, Xiao Song, Wang Ruo-Hui, and Liu Fei. "Successive defects asymmetric simple exclusion processes with particles of arbitrary size." Chinese Physics B 18, no. 12 (2009): 5097–102. http://dx.doi.org/10.1088/1674-1056/18/12/001.

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16

Tanaka, Ryokichi. "Hydrodynamic Limit for Weakly Asymmetric Simple Exclusion Processes in Crystal Lattices." Communications in Mathematical Physics 315, no. 3 (2012): 603–41. http://dx.doi.org/10.1007/s00220-012-1574-0.

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17

Liu, MingZhe, XianGuo Tuo, RuiLi Wang, and Rui Jiang. "Recent developments in totally asymmetric simple exclusion processes with local inhomogeneity." Chinese Science Bulletin 56, no. 15 (2011): 1527–31. http://dx.doi.org/10.1007/s11434-011-4449-4.

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18

Chang, Chih-Chung, Claudio Landim, and Stefano Olla. "Equilibrium fluctuations of asymmetric simple exclusion processes in dimension d≥3." Probability Theory and Related Fields 119, no. 3 (2001): 381–409. http://dx.doi.org/10.1007/pl00008764.

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19

Sethuraman, Sunder, S. R. S. Varadhan, and Horng-Tzer Yau. "Diffusive limit of a tagged particle in asymmetric simple exclusion processes." Communications on Pure and Applied Mathematics 53, no. 8 (2000): 972–1006. http://dx.doi.org/10.1002/1097-0312(200008)53:8<972::aid-cpa2>3.0.co;2-#.

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20

Wang, Yu-Qing, Rui Jiang, Qing-Song Wu, and Hai-Yi Wu. "Phase transitions in coupled exclusion processes constituted by TASEP and two-lane SEPs." Modern Physics Letters B 28, no. 08 (2014): 1450064. http://dx.doi.org/10.1142/s021798491450064x.

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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.

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21

XIAO, SONG, and JIN-YI BAI. "INVESTIGATION OF ASYMMETRIC SIMPLE EXCLUSION PROCESSES WITH ZONED INHOMOGENEITY AND ON-RAMP." Modern Physics Letters B 27, no. 09 (2013): 1350062. http://dx.doi.org/10.1142/s0217984913500620.

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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.

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22

Bryc, Włodzimierz, and Yizao Wang. "Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries." Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 55, no. 4 (2019): 2169–94. http://dx.doi.org/10.1214/18-aihp945.

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23

Xiao, Song, Shuying Wu, and Jing Shang. "Asymmetric Coupling Two-lane with Same Hopping Probabilities p Simple Exclusion Processes." Procedia Engineering 31 (2012): 941–48. http://dx.doi.org/10.1016/j.proeng.2012.01.1125.

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24

Xiao, Song, Shu-ying Wu, Dong-sheng Zheng, and Ming-zhe Liu. "Local inhomogeneity in totally asymmetric simple exclusion processes with different hopping rates." Journal of Central South University 19, no. 10 (2012): 3012–16. http://dx.doi.org/10.1007/s11771-012-1371-0.

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25

Xiao, Song, Ming-Zhe Liu, Jing Shang, and Hua Wang. "Theoretical investigation of total-asymmetric simple exclusion processes with attachment and detachment." Chinese Physics B 21, no. 2 (2012): 020514. http://dx.doi.org/10.1088/1674-1056/21/2/020514.

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26

WANG, XIONG, RUI JIANG, MAO-BIN HU, KATSUHIRO NISHINARI, and QING-SONG WU. "TOTALLY ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A BRANCHING POINT." International Journal of Modern Physics C 20, no. 12 (2009): 1999–2012. http://dx.doi.org/10.1142/s0129183109014886.

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We study totally asymmetric simple exclusion process (TASEP) where particles move on a single-chain lattice which diverges into two parallel lattice branches. At the branching point, the particles move to one of the two branches with equal rate r/2. The phase diagram and density profiles are investigated by using mean-field approximation and Monte Carlo simulations. It is found that the phase diagram can be classified into three regions at any value of r. However, a threshold [Formula: see text] is identified. In cases of r > rc and r < rc, the phase diagram exhibits qualitatively differ

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27

Wang, Yu-Qing, Jia-Wei Wang, and Bing-Hong Wang. "Physical mechanisms in impacts of interaction factors on totally asymmetric simple exclusion processes." International Journal of Modern Physics B 33, no. 20 (2019): 1950217. http://dx.doi.org/10.1142/s0217979219502175.

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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 paramet

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28

Yuan, Yao-Ming, Rui Jiang, Ruili Wang, Qing-Song Wu, and Jin-Qiu Zhang. "Spontaneous symmetry breaking in totally asymmetric simple exclusion processes on two intersected lattices." Journal of Physics A: Mathematical and Theoretical 41, no. 3 (2008): 035003. http://dx.doi.org/10.1088/1751-8113/41/3/035003.

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29

Xiao, Song, Mingzhe Liu, and Jiu-ju Cai. "Asymmetric coupling in two-lane simple exclusion processes: Effect of unequal injection rates." Physics Letters A 374, no. 1 (2009): 8–12. http://dx.doi.org/10.1016/j.physleta.2009.10.022.

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30

Yang, Xian-Qing, Kang Qiu, Wei Zhang, Lin Ren, Wen-Tao Xu, and You-Jin Deng. "Effects of detachment and size of particles in totally asymmetric simple exclusion processes." Physica A: Statistical Mechanics and its Applications 379, no. 2 (2007): 595–606. http://dx.doi.org/10.1016/j.physa.2007.01.007.

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31

Wang, Ruili, Mingzhe Liu, and Rui Jiang. "Local inhomogeneity in two-lane asymmetric simple exclusion processes coupled with Langmuir kinetics." Physica A: Statistical Mechanics and its Applications 387, no. 2-3 (2008): 457–66. http://dx.doi.org/10.1016/j.physa.2007.09.042.

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32

Wang, Ya Fei, Bing Qi Liu, Gang Yang, and Xu Cao. "Zoned Inhomogeneity in Asymmetric Exclusion Processes with Random Update and Off-Ramp." Advanced Materials Research 1049-1050 (October 2014): 1586–94. http://dx.doi.org/10.4028/www.scientific.net/amr.1049-1050.1586.

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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.

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33

Sun, Xiaoyan, Yanbo Xie, Zhiwei He, and Binghong Wang. "Shocks induced by junctions in totally asymmetric simple exclusion processes under periodic boundary condition." Physics Letters A 375, no. 28-29 (2011): 2699–703. http://dx.doi.org/10.1016/j.physleta.2011.06.007.

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34

Liu, Ming-Zhe, Shao-Da Li, and Wang Rui-Li. "Asymmetric simple exclusion processes with complex lattice geometries: A review of models and phenomena." Chinese Physics B 21, no. 9 (2012): 090510. http://dx.doi.org/10.1088/1674-1056/21/9/090510.

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35

Xiao, Song, Xiao-Yu Chen, and Yan-Na Liu. "Asymmetric Coupling in Two-Lane Asymmetric Simple Exclusion Processes with Unequal Injection Rates: Effect of Different Hoping Rates." Communications in Theoretical Physics 63, no. 5 (2015): 581–87. http://dx.doi.org/10.1088/0253-6102/63/5/581.

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36

XIAO, SONG, JIU-JU CAI, FEI LIU, and MINGZHE LIU. "THEORETICAL INVESTIGATION OF SYNCHRONOUS TOTALLY ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A SHORTCUT." International Journal of Modern Physics B 24, no. 28 (2010): 5539–46. http://dx.doi.org/10.1142/s021797921005689x.

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In this paper, a synchronous totally asymmetric simple exclusion process (TASEP) with a shortcut under open boundary conditions is investigated. The shortcut is located in the bulk and characterized by shortcut probability q. The phase diagram and density profiles of the model are obtained. It is found that the phase diagram of the model includes three regions, similar to the normal synchronous TASEP. Interestingly, the phase diagram does not change with q. Monte Carlo simulations are used to obtain the bulk density of different phases and they are in good agreement with the approximate statio

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37

Landim, C., S. Olla, and H. T. Yau. "First-order correction for the hydrodynamic limit of asymmetric simple exclusion processes in dimensiond ? 3." Communications on Pure and Applied Mathematics 50, no. 2 (1997): 149–203. http://dx.doi.org/10.1002/(sici)1097-0312(199702)50:2<149::aid-cpa2>3.0.co;2-c.

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38

Srinivasan, Rengarajan. "Stochastic comparisons of density profiles for the road-hog process." Journal of Applied Probability 28, no. 4 (1991): 852–63. http://dx.doi.org/10.2307/3214688.

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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

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39

Srinivasan, Rengarajan. "Stochastic comparisons of density profiles for the road-hog process." Journal of Applied Probability 28, no. 04 (1991): 852–63. http://dx.doi.org/10.1017/s0021900200042765.

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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

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40

Tian, Bo, Ping Xia, Li Liu, Meng-Ran Wu, and Shu-Yong Guo. "Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection." Chinese Physics B 29, no. 5 (2020): 050505. http://dx.doi.org/10.1088/1674-1056/ab820e.

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41

Goldman, Carla, and Elisa T. Sena. "The dynamics of cargo driven by molecular motors in the context of asymmetric simple exclusion processes." Physica A: Statistical Mechanics and its Applications 388, no. 17 (2009): 3455–64. http://dx.doi.org/10.1016/j.physa.2009.04.038.

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42

Liu, Yanna, Wencan Xiao, Peng Dong, Yingjie Zhang, and Song Xiao. "The effect of single on-ramp with constrained resources on the density of asymmetric simple exclusion processes." Renewable and Sustainable Energy Reviews 62 (September 2016): 815–20. http://dx.doi.org/10.1016/j.rser.2016.05.038.

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43

Wang, Yu-Qing, Rui Jiang, Qing-Song Wu, and Hai-Yi Wu. "Phase transitions in three-lane TASEPs with weak coupling." Modern Physics Letters B 28, no. 15 (2014): 1450123. http://dx.doi.org/10.1142/s0217984914501231.

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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.

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44

Tian, Bo, Rui Jiang, Mao-Bin Hu, Zhong-Jun Ding, and Bin Jia. "Cluster mean field analysis of spontaneous symmetry breaking in totally asymmetric simple exclusion processes on two intersected lattices." Physica A: Statistical Mechanics and its Applications 541 (March 2020): 123542. http://dx.doi.org/10.1016/j.physa.2019.123542.

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45

WANG, RUILI, RUI JIANG, MINGZHE LIU, JIMING LIU, and QING-SONG WU. "EFFECTS OF LANGMUIR KINETICS ON TWO-LANE TOTALLY ASYMMETRIC EXCLUSION PROCESSES OF MOLECULAR MOTOR TRAFFIC." International Journal of Modern Physics C 18, no. 09 (2007): 1483–96. http://dx.doi.org/10.1142/s0129183107011479.

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In this paper, we study a two-lane totally asymmetric simple exclusion process (TASEP) coupled with random attachment and detachment of particles (Langmuir kinetics) in both lanes under open boundary conditions. Our model can describe the directed motion of molecular motors, attachment and detachment of motors, and free inter-lane transition of motors between filaments. In this paper, we focus on some finite-size effects of the system because normally the sizes of most real systems are finite and small (e.g., size ≤ 10 000). A special finite-size effect of the two-lane system has been observed

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46

Song, Minghua, and Yunxin Zhang. "Mean-field analysis of two-species totally asymmetric simple exclusion process (TASEP) with attachment and detachment." Canadian Journal of Physics 95, no. 4 (2017): 370–80. http://dx.doi.org/10.1139/cjp-2016-0644.

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In the field of statistical physics, unidirectional motion of a large number of particles along a single track can be described by totally asymmetric simple exclusion process (TASEP), from which many meaningful properties, such as the appearance of domain wall (defined as the borderline of high particle density and low particle density along the motion track) and boundary layers, can be obtained. However, it is biologically general that a single track may be occupied by different particle species. For example, in cells each microtubule protofilament is usually occupied by different species of

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47

Wang, Yu-Qing, Jia-Wei Wang, Zi-Ang Zhu, and Bing-Hong Wang. "Stochastic dynamics in nonequilibrium phase transitions of multiple totally asymmetric simple exclusion processes coupled with strong and weak interacting effects." International Journal of Modern Physics B 33, no. 20 (2019): 1950229. http://dx.doi.org/10.1142/s0217979219502291.

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Totally asymmetric simple exclusion process (TASEP) is an important stochastic dynamic process in the area of statistical physics, which can be used to model microscopic transport in nonequilibrium processes. Due to its rich stochastic dynamics and nonequilibrium phase transition mechanisms, the importance of TASEP in statistical physics is similar with that of Ising model, which has attracted many attentions. In this paper, multiple TASEPs are introduced and coupled with various strong and weak interacting effects of self-driven particles. Both strong and weak couplings are calculated by mean

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48

CORWIN, IVAN. "THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS." Random Matrices: Theory and Applications 01, no. 01 (2012): 1130001. http://dx.doi.org/10.1142/s2010326311300014.

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Brownian motion is a continuum scaling limit for a wide class of random processes, and there has been great success in developing a theory for its properties (such as distribution functions or regularity) and expanding the breadth of its universality class. Over the past 25 years a new universality class has emerged to describe a host of important physical and probabilistic models (including one-dimensional interface growth processes, interacting particle systems and polymers in random environments) which display characteristic, though unusual, scalings and new statistics. This class is called

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49

HUANG, DING-WEI. "COMPLETE TRAFFIC PATTERNS AROUND A T-SHAPED INTERSECTION." International Journal of Modern Physics C 21, no. 02 (2010): 189–204. http://dx.doi.org/10.1142/s0129183110015063.

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We propose Asymmetric Simple Exclusion Processes to analyze the traffic states around a T-shaped intersection. The system consists of six roadways connected by the intersection. There are nine control-parameters separated into three categories: injection αi, removal βi, and turning Pi, (where i = 1, 2, 3). As these nine parameters change, traffic states on each roadway reveal a two-phase transition: free flow (F) and jam (J). Together, there can be 64 (=26) possible combinations for the traffic phases. We observe 63 distinct phases. We analyze three major causes of congestion: (1) increase of

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50

Zarai, Yoram, Michael Margaliot, and Tamir Tuller. "Ribosome flow model with extended objects." Journal of The Royal Society Interface 14, no. 135 (2017): 20170128. http://dx.doi.org/10.1098/rsif.2017.0128.

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We study a deterministic mechanistic model for the flow of ribosomes along the mRNA molecule, called the ribosome flow model with extended objects (RFMEO). This model encapsulates many realistic features of translation including non-homogeneous transition rates along mRNA, the fact that every ribosome covers several codons, and the fact that ribosomes cannot overtake one another. The RFMEO is a mean-field approximation of an important model from statistical mechanics called the totally asymmetric simple exclusion process with extended objects (TASEPEO). We demonstrate that the RFMEO describes

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