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arxiv: 0706.1826 · v2 · submitted 2007-06-13 · ❄️ cond-mat.stat-mech

A Family of Exactly-Solvable Driven-Diffusive Systems in One-dimension

classification ❄️ cond-mat.stat-mech
keywords familydriven-diffusiveexactly-solvablesystemsalgebracasescoupledefined
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We introduce an exactly-solvable family of one-dimensional driven-diffusive systems defined on a discrete lattice. We find the quadratic algebra of this family which has an infinite-dimensional representation. We discuss the phase diagram of the system in a couple of special cases.

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