A Family of Exactly-Solvable Driven-Diffusive Systems in One-dimension
F. H. Jafarpour, P. Khaki
TL;DR
This paper introduces a new family of exactly-solvable one-dimensional driven-diffusive systems, providing their algebraic structure and analyzing their phase diagrams in specific cases.
Contribution
It presents an exactly-solvable family of systems with an infinite-dimensional algebraic representation and explores their phase behavior.
Findings
Identification of the quadratic algebra governing the systems
Explicit solutions for special cases of the phase diagram
Demonstration of the infinite-dimensional algebraic structure
Abstract
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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