Zero-temperature relaxation of three-dimensional Ising ferromagnets.

@article{Olejarz2011ZerotemperatureRO,
  title={Zero-temperature relaxation of three-dimensional Ising ferromagnets.},
  author={Jason Olejarz and Paul L. Krapivsky and Sidney Redner},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 5 Pt 1},
  pages={
          051104
        }
}
We investigate the properties of the Ising-Glauber model on a periodic cubic lattice of linear dimension L after a quench to zero temperature. The resulting evolution is extremely slow, with long periods of wandering on constant energy plateaus, punctuated by occasional energy-decreasing spin-flip events. The characteristic time scale τ for this relaxation grows exponentially with the system size; we provide a heuristic and numerical evidence that τ~exp(L(2)). For all but the smallest-size… 

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  • P. Krapivsky
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2012
The evolution of an Ising ferromagnet endowed with zero-temperature single spin-flip dynamics is examined and the limiting shape of the Ising droplet on the square lattice is analytically determined.

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