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

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

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 sta...

Zero-temperature relaxation of three-dimensional Ising ferromagnets.

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 si...

Zero-Temperature Stochastic Ising Model

We analyze clustering and (local) recurrence of a standard Markov process model of spatial domain coarsening. The continuous time process, whose state space consists of assignments of +1 or −1 to each site in Z, is the zero-temperature limit of the stochastic homogeneous Ising ferromagnet (with Glauber dynamics): the initial state is chosen uniformly at random and then each site, at rate one, p...

Numerical study of the three-dimensional random-field Ising model at zero and positive temperature

Information Storage in the Stochastic Ising Model at Zero Temperature

Most information systems store data by modifying the local state of matter, in the hope that atomic (or subatomic) local interactions would stabilize the state for a sufficiently long time, thereby allowing later recovery. In this work we initiate the study of information retention in locally-interacting systems. The evolution in time of the interacting particles is modeled via the stochastic I...