39 citations · 101 across the 5 of their papers we have counts for
5 papers
Effect of Dilute Random Field on Continuous-Symmetry Order Parameter
T. C. Proctor, E. M. Chudnovsky
XY and Heisenberg spins, subjected to strong random fields acting at few points in space with concentration , are studied numerically on 3d lattices containing over four…
Scaling of Coercivity in a 3d Random Anisotropy Model
Thomas C. Proctor, Eugene M. Chudnovsky, Dmitry A. Garanin
The random-anisotropy Heisenberg model is numerically studied on lattices containing over ten million spins. The study is focused on hysteresis and metastability due to topological…
Random Fields, Topology, and The Imry-Ma Argument
Thomas C. Proctor, Dmitry A. Garanin, Eugene M. Chudnovsky
We consider -component fixed-length order parameter interacting with a weak random field in dimensions. Relaxation from the initially ordered state and spin-spin corre…
Random Field XY Model in Three Dimensions
D. A. Garanin, E. M. Chudnovsky, T. Proctor
We study random-field xy spin model at T=0 numerically on lattices of up to 1000 x 1000 x 1000 spins with the accent on the weak random field. Our numerical method is physically eq…
Random Field XY Model in Three Dimensions: The Role of Vortices
D. A. Garanin, E. M. Chudnovsky, T. Proctor
We study vortex states in a 3d random-field XY model of up to one billion lattice spins. Starting with random spin orientations, the sample freezes into the vortex-glass state with…