English

Hysteresis in Anti-Ferromagnetic Random-Field Ising Model at Zero Temperature

Disordered Systems and Neural Networks 2011-06-27 v1 Statistical Mechanics

Abstract

We study hysteresis in anti-ferromagnetic random-field Ising model at zero temperature. The external field is cycled adiabatically between -\infty and \infty. Two different distributions of the random-field are considered, (i) a uniform distribution of width 2Δ2\Delta centered at the origin, and (ii) a Gaussian distribution with average value zero and standard deviation σ\sigma. In each case the hysteresis loop is determined exactly in one dimension and compared with numerical simulations of the model.

Keywords

Cite

@article{arxiv.1104.0586,
  title  = {Hysteresis in Anti-Ferromagnetic Random-Field Ising Model at Zero Temperature},
  author = {Lobisor Kurbah and Prabodh Shukla},
  journal= {arXiv preprint arXiv:1104.0586},
  year   = {2011}
}
R2 v1 2026-06-21T17:49:09.406Z