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

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

1992-10-02

arxiv.org/abs/cond-mat/9210002v1

Phys.Rev.Lett. 69 (1992) 3686-3688

Physics

Condensed Matter

10 pages (plain TeX), 1 figure (PostScript)

Scientific paper

10.1103/PhysRevLett.69.3686

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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