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11 papers · 1 filter
Zero-Temperature Dynamics of Ising Spin Systems Following a Deep Quench: Results and Open Problems
C. M. Newman, D. L. Stein
We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions and an initial spin configuration chosen from a symmetric Bernoulli distribution (correspon…
Metastable States in Spin Glasses and Disordered Ferromagnets
C. M. Newman, D. L. Stein
We study analytically M-spin-flip stable states in disordered short-ranged Ising models (spin glasses and ferromagnets) in all dimensions and for all M. Our approach is primarily d…
Motion of Three Vortices near Collapse
X. Leoncini, L. Kuznetsov, G. M. Zaslavsky
A system of three point vortices in an unbounded plane has a special family of self-similarly contracting or expanding solutions: during the motion, vortex triangle remains similar…
Spectrum of the Fokker-Planck operator representing diffusion in a random velocity field
J. T. Chalker, Z. Jane Wang
We study spectral properties of the Fokker-Planck operator that represents particles moving via a combination of diffusion and advection in a time-independent random velocity field…
Statistical Theory for the Stochastic Burgers Equation in the Inviscid Limit
Weinan E, Eric Vanden Eijnden
A statistical theory is developed for the stochastic Burgers equation in the inviscid limit. Master equations for the probability density functions of velocity, velocity difference…
Blocking and Persistence in the Zero-Temperature Dynamics of Homogeneous and Disordered Ising Models
C. M. Newman, D. L. Stein
A ``persistence'' exponent theta has been extensively used to describe the nonequilibrium dynamics of spin systems following a deep quench: for zero-temperature homogeneous Ising m…