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Exact Solution of a Phase Separation Model with Conserved Order Parameter Dynamics

Vladimir Privman
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Abstract

Pairwise particle-exchange model on a linear lattice is solved exactly by a new rate-equation method. Lattice sites are occupied by particles A and B which can exchange irreversibly provided the local energy in reduced. Thus, the model corresponds to a zero-temperature Kawasaki-type phase separation process. Due to local order-parameter conservation, the dynamics reaches a frozen state at large times, the structure of which depends on the initial conditions.

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Vladimir Privman. 1992-10-02. Exact Solution of a Phase Separation Model with Conserved Order Parameter Dynamics. https://doi.org/10.1103/physrevlett.69.3686

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