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Zero-temperature freezing in the three-dimensional kinetic Ising model

by: J. Olejarz, P. L. Krapivsky, S. Redner
Physical Review E, Vol. 83 (Mar 2011), 030104, doi:10.1103/physreve.83.030104  Key: citeulike:11195201

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Abstract

We investigate the relaxation 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 the following: (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 is extremely slow, with a characteristic time that grows exponentially with system size.


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