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arXiv · 1011.2903

Zero-Temperature Freezing in Three-Dimensional Kinetic Ising Model

J. Olejarz·P. L. Krapivsky·S. Redner
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Abstract

We investigate the long-time properties of the Ising-Glauber model on a periodic cubic lattice after a quench to zero temperature. In contrast to the conventional picture from phase-ordering kinetics, we find: (i) Domains at long time are highly interpenetrating and topologically complex, with average genus growing algebraically with system size. (ii) The long-time state is almost never static, but rather contains "blinker" spins that can flip ad infinitum with no energy cost. (iii) The energy relaxation has a complex time dependence with multiple characteristic time scales, the longest of which grows exponentially with system size.

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J. Olejarz, P. L. Krapivsky, S. Redner. 2010-11-12. Zero-Temperature Freezing in Three-Dimensional Kinetic Ising Model. https://doi.org/10.1103/physreve.83.030104

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