Hysteresis as rate competition: a Landau model example

Abstract

An understanding of hysteresis is obtained as a competition between the field sweep rate h°, and the inverse mean first-passage time (FPT), of jump rate, using the numerical Langevin dynamics of a Landau ⁴m model. Both mean jump values h̅,(h°), and jump distributions p(h_J,h°), agree quantitatively with previous FPT-based theoretical results. Rate competition and jump distribution ideas could have relevance for laser bistability and glass transition and jump distribution ideas could have relevance for laser bistability and glass transition problems.