The Study of Shocks in Three-States Driven-Diffusive Systems: A Matrix Product Approach

Details The Study of Shocks in Three-States Driven-Diffusive Systems: A Matrix Product Approach The Study of Shocks in Three-States Driven-Diffusive Systems: A Matrix Product Approach

2006-12-25

arxiv.org/abs/cond-mat/0612622v2

Physics

Condensed Matter

Statistical Mechanics

15 pages, Accepted for publication in Journal of Statistical Mechanics: Theory and Experiment (JSTAT)

Scientific paper

10.1088/1742-5468/2007/03/P03009

We study the shock structures in three-states one-dimensional driven-diffusive systems with nearest neighbors interactions using a matrix product formalism. We consider the cases in which the stationary probability distribution function of the system can be written in terms of superposition of product shock measures. We show that only three families of three-states systems have this property. In each case the shock performs a random walk provided that some constraints are fulfilled. We calculate the diffusion coefficient and drift velocity of shock for each family.

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