İki parçacıklı ASEP modelinin genişletilmiş faz diyagramı

The ASEP (Asymmetric Simple Exclusion Process) model system with two typesof particles is studied. The system is interesting because it exhibits spontaneoussymmetry breaking when parameters controlling the dynamics of the two typesof particles of the same system. By using Mean Field approximation its extendedphase diagram was obtained for non-symmetric values of entering rates of thetwo types of particles. The system is understood to be the combination of twodecoupled ASEP systems with one type of particle system for the values of equalhopping and exchange rates. (Evans et al.,PR E, 74 208, (1995)) It is understoodthat for the exchange rates different from the hopping rates the system can nolonger be analyzed as combination of two decoupled one particle ASEP. The ?tinyphase? first observed by Evans et al, is examined in more detail. It is found thatthis phase still exists when entering rates are not symmetric. Also, Monte Carlosimulations for certain values of parameters of the system were carried out todetermine the particle density profiles. The phase diagram of the system displaysunexpectedly rich structure for the relatively simple dynamics.