Study Of Weakening Interaction Suppressing Spontaneous Symmetry Breaking

The asymmetric simple exclusion process model (ASEP) was proposed by scientists in the1968and initially, it was mainly applied to simulate biopolymer synthesis mechanism. ASEP model is mostly used to describe the phenomenon of multi-random walk with hard-core repulsion in one-dimensional model. Although the model seems like quite simple, actually, it shows the phenomena of inter-particle cooperation that a lot of one-dimensional equilibrium systems don’t have. For example, in recent years, the phenomenon of asymmetric simple exclusion process model and boundary-induced phase transitions raised the interests of many scholars. For this reason, the ASEP model has attracted physicists, biologists and chemists as well as be widely used in analyzing Gel electrophoresis, the motor movement of Molecular, Surface growth, the area of Traffic flow and etc.This paper proves that weakening interaction suppresses spontaneous symmetry breaking (SSB) in two-channel asymmetric exclusion processes.The similar results were received in the straight two-channel model and bridge model; At the same time, the idea of wide export was introduced into the former model, a new phase diagram appears.The main ideas are as follows:1. Weaken the strength of the interaction of the two lanes continuously, the area of the asymmetric phase decrease constantly, as the asymmetric phase having the trend of disappearance. When SSB disappear, the interaction strength does not reduce to zero. therefore, Our work has not only proved that the SSB is caused by the interaction in entrance and export port in the model of two parallel straight lanes, but also shows that only when the interaction strength reaches a certain intense that will produce SSB phenomenon.2. The new model define that even if the cross site was occupied by a lane’s particle, the other lane’s particle also jump into the cross site. When we reduce the interaction strength constantly, the asymmetric phase also has the trend of decreasing and disappearance. When SSB disappear, the interaction strength does not reduce to zero.3. Bringing in wide export, a new phase diagram that contain symmetry low density(LD)、asymmetric low density(LD/LD)/、symmetric high density(HD)、 asymmetric high density(HD/HD)、asymmetric high density and low density(HD/LD) and Maximum Current.