We study a multispecies generalization of a left-permeable asymmetric exclusion process (LPASEP) in one dimension with open boundaries. We determine all phases in the phase diagram using an exact projection to the LPASEP solved by us in a previous work. In most phases, we observe the phenomenon of dynamical expulsion of one or more species. We explain the density profiles in each phase using interacting shocks. This explanation is corroborated by simulations.
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We thank the referees for a number of useful suggestions. The first and third authors are supported by UGC Centre for Advanced Studies (Grant No. F. 510/25/CAS-II/2018(SAP-I)). The first author was also partly supported by Department of Science and Technology Grant EMR/2016/006624.
Chowdhury, D., Santen, L., Schadschneider, A.: Statistical physics of vehicular traffic and some related systems. Phys. Rep. 329(4), 199–329 (2000)ADSMathSciNetCrossRefGoogle Scholar
Penington, C.J., Hughes, B.D., Landman, K.A.: Building macroscale models from microscale probabilistic models: a general probabilistic approach for nonlinear diffusion and multispecies phenomena. Phys. Rev. E 84, 041120 (2011)ADSCrossRefGoogle Scholar
Evans, M.R., Foster, D.P., Godrèche, C., Mukamel, D.: Asymmetric exclusion model with two species: spontaneous symmetry breaking. J. Stat. Phys. 80(1), 69–102 (1995)ADSCrossRefzbMATHGoogle Scholar
Arita, C.: Phase transitions in the two-species totally asymmetric exclusion process with open boundaries. J. Stat. Mech. 2006(12), P12008 (2006)MathSciNetCrossRefGoogle Scholar
Crampe, N., Evans, M.R., Mallick, K., Ragoucy, E., Vanicat, M.: Matrix product solution to a 2-species TASEP with open integrable boundaries. J. Phys. A 49(47), 475001 (2016)ADSMathSciNetCrossRefzbMATHGoogle Scholar
Ayyer, A., Finn, C., Roy, D.: Matrix product solution of a left-permeable two-species asymmetric exclusion process. Phys. Rev. E 97, 012151 (2018)ADSMathSciNetCrossRefGoogle Scholar
Cantini, L., Garbali, A., de Gier, J., Wheeler, M.: Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries. J. Phys. A 49(44), 444002 (2016)MathSciNetCrossRefzbMATHGoogle Scholar
Ayyer, A., Roy, D.: The exact phase diagram for a class of open multispecies asymmetric exclusion processes. Sci. Rep. 7, 13555 (2017)ADSCrossRefGoogle Scholar