2009/07/31 by Prabodh Shukla, R S Kharwanlang, R. S. Kharwanlang
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Condensed matter physics #Field (mathematics) #Hysteresis #Limit (mathematics) #Magnetic properties of thin films #Mathematical analysis #Mathematics #Mean field theory #Nonlinear Dynamics and Pattern Formation #Physics #Pure mathematics #Theoretical and Computational Physics #Zero (linguistics) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.81.031106
published as Phys Rev E 81, 031106 (2010) · replaced by the published version
openalex publication_date 2010/03/08 · arxiv created 2010/03/14 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We examine zero-temperature hysteresis in random-field XY and Heisenberg models in the zero-frequency limit of a cyclic driving field. Exact expressions for hysteresis loops are obtained in the mean-field approximation. These show rather unusual features. We also perform simulations of the two models on a simple-cubic lattice and compare them with the predictions of the mean-field theory.