Some General Features of Matrix Product States in Stochastic Systems
نویسنده
چکیده
We will prove certain general relations in Matrix Product Ansatz for one dimensional stochastic systems, which are true in both random and sequential updates. We will derive general MPA expressions for the currents and current correlators and find the conditions in the MPA formalism, under which the correlators are site-independent or completely vanishing. We will also introduce an associative algebra which on the one hand,-pecies generalization of the Derrida-Evans-Hakim-Pasquier (DEHP) algebra, and on the other hand, provides a unified framework for the study of multi-species Asymmetric Simple Exclusion Process (ASEP) in both random and ordered sequential updates. PACS numbers: 82.20.Mj, 02.50.Ga, 05.40.+j e-mail:[email protected]
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