Steady-State Properties of a Totally Asymmetric Exclusion Process with Periodic Structure

作者: Greg Lakatos , Tom Chou , Anatoly Kolomeisky

DOI: 10.1103/PHYSREVE.71.011103

关键词:

摘要: We study the steady-state behavior of totally asymmetric simple exclusion processes (TASEPs) that contain periodically varying movement rates. In this model, particles move to right at one two rates: p(2) if particle occupies a arranged set lattice sites; p(1) otherwise. Approximate mean field approaches are used currents and bulk densities model. These methods found provide results in good agreement with data derived from Monte Carlo simulations. Finally, condition for particle-hole symmetry TASEP rates is specified, changes locations boundary-limited maximal-current transition lines due violation investigated.

参考文章(25)
R. B. Lehoucq, D. C. Sorensen, C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods Society for Industrial and Applied Mathematics. ,(1998) , 10.1137/1.9780898719628
Goutam Tripathy, Mustansir Barma, STEADY STATE AND DYNAMICS OF DRIVEN DIFFUSIVE SYSTEMS WITH QUENCHED DISORDER Physical Review Letters. ,vol. 78, pp. 3039- 3042 ,(1997) , 10.1103/PHYSREVLETT.78.3039
Kiran M Kolwankar, Alexander Punnoose, None, Disordered totally asymmetric simple exclusion process: Exact results Physical Review E. ,vol. 61, pp. 2453- 2456 ,(2000) , 10.1103/PHYSREVE.61.2453
M. Schreckenberg, A. Schadschneider, K. Nagel, N. Ito, Discrete stochastic models for traffic flow Physical Review E. ,vol. 51, pp. 2939- 2949 ,(1995) , 10.1103/PHYSREVE.51.2939
P.L Garrido, J Marro, R Dickman, Nonequilibrium steady states and phase transitions in driven diffusive systems Annals of Physics. ,vol. 199, pp. 366- 411 ,(1990) , 10.1016/0003-4916(90)90382-X
M Bengrine, A Benyoussef, H Ez-Zahraouy, J Krug, M Loulidi, F Mhirech, A simulation study of an asymmetric exclusion model with open boundaries and random rates Journal of Physics A. ,vol. 32, pp. 2527- 2540 ,(1999) , 10.1088/0305-4470/32/13/005
Debashish Chowdhury, Jian-Sheng Wang, Flow properties of driven-diffusive lattice gases: theory and computer simulation. Physical Review E. ,vol. 65, pp. 046126- ,(2002) , 10.1103/PHYSREVE.65.046126
Steven A. Janowsky, Joel L. Lebowitz, Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process Physical Review A. ,vol. 45, pp. 618- 625 ,(1992) , 10.1103/PHYSREVA.45.618
B. Derrida, E. Domany, D. Mukamel, An exact solution of a one-dimensional asymmetric exclusion model with open boundaries Journal of Statistical Physics. ,vol. 69, pp. 667- 687 ,(1992) , 10.1007/BF01050430
Carolyn T. MacDonald, Julian H. Gibbs, Allen C. Pipkin, Kinetics of biopolymerization on nucleic acid templates. Biopolymers. ,vol. 6, pp. 1- 25 ,(1968) , 10.1002/BIP.1968.360060102