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Partially asymmetric simple exclusion model in the presence of an impurity on a ring

Jafarpour, F. H ; Sharif University of Technology | 2000

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  1. Type of Document: Article
  2. DOI: 10.1088/0305-4470/33/9/306
  3. Publisher: 2000
  4. Abstract:
  5. We study a generalized two-species model on a ring. The original model (Mallick K 1996 J. Phys. A: Math. Gen. 29 5375) describes ordinary particles hopping exclusively in one direction in the presence of an impurity. The impurity hops with a rate different from that of ordinary particles and can be overtaken by them. Here we let the ordinary particles also hop backward with rate q. Using the matrix product ansatz we obtain the relevant quadratic algebra. A finite-dimensional representation of this algebra enables us to compute the stationary bulk density of the ordinary particles, as well as the speed of impurity on a set of special surfaces of the parameter space. We will obtain the phase structure of this model in the accessible region and show how the phase structure of the original model is modified. In the infinite-volume limit this model presents a shock in one of its phases
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  8. Source: Journal of Physics A: Mathematical and General ; Volume 33, Issue 9 , 2000 , Pages 1797-1808 ; 03054470 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/0305-4470/33/9/306