One-dimensional kinetic Ising model with nonuniform coupling constants
Mohammad Khorrami, Amir Aghamohammadi
TL;DR
This paper explores a one-dimensional kinetic Ising model with nonuniform coupling constants, revealing conditions under which the system exhibits static phase transitions affecting the spin profile near boundaries.
Contribution
It introduces a nonuniform extension of the Glauber model with detailed balance, analyzing static behavior and identifying cases of static phase transitions.
Findings
Existence of static phase transitions near boundaries
Static profiles of spin expectation values change behavior
Nonuniform coupling constants influence phase transition conditions
Abstract
A nonuniform extension of the Glauber model on a one-dimensional lattice with boundaries is investigated. Based on detailed balance, reaction rates are proposed for the system. The static behavior of the system is investigated. It is shown that there are cases where the system exhibits a static phase transition, which is a change of behavior of the static profile of the expectation values of the spins near end points.
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