Ising Ferromagnet: Zero-Temperature Dynamic Evolution

Abstract

The dynamic evolution at zero temperature of a uniform Ising ferromagnet on a square lattice is followed by Monte Carlo computer simulations. The system always eventually reaches a final, absorbing state, which sometimes coincides with a ground state (all spins parallel), and sometimes does not (parallel stripes of spins up and down). We initiate here the numerical study of ``Chaotic Time Dependence'' (CTD) by seeing how much information about the final state is predictable from the randomly generated quenched initial state. CTD was originally proposed to explain how nonequilibrium spin glasses could manifest equilibrium pure state structure, but in simpler systems such as homogeneous ferromagnets it is closely related to long-term predictability and our results suggest that CTD might indeed occur in the infinite volume limit.

14 pages, Latex with 8 EPS figures

References in corpus (5)

• Exact first-passage exponents of 1D domain growth: relation to a reaction diffusion model
• Freezing in Ising Ferromagnets
• Blocking and Persistence in the Zero-Temperature Dynamics of Homogeneous and Disordered Ising Models
• Glassy states in lattice models with many coexisting crystalline phases
• Zero Temperature Dynamics of 2D and 3D Ising Ferromagnets

Cited by in corpus (13)

• Fate of 2D Kinetic Ising Ferromagnets and Critical Percolation Crossing Probabilities
• Zero-Temperature Relaxation of Three-Dimensional Ising Ferromagnets
• Zero-Temperature Freezing in Three-Dimensional Kinetic Ising Model
• Long term ordering kinetics of the two dimensional q-state Potts model
• Zero-Temperature Coarsening in the 2d Potts Model
• Nature vs. Nurture: Predictability in Low-Temperature Ising Dynamics
• Damage spreading transition in an opinion dynamics model
• Zero-temperature Glauber dynamics on small-world networks
• Limiting Shapes in Two-Dimensional Ising Ferromagnets
• Long-Time Predictability in Disordered Spin Systems Following a Deep Quench
• Fate of Ising ferromagnets and antiferromagnets by zero-temperature Glauber dynamics on the two-dimensional Archimedean and 2-uniform lattices
• The Effect of Pure State Structure on Nonequilibrium Dynamics
• Field-induced freezing in the unfrustrated Ising antiferromagnet