Non-equilibrium phase transition in the kinetic Ising model driven by a propagating magnetic field wave

DOI10.1088/0031-8949/84/03/035009zbMATH Open1264.82096arXiv1010.4366OpenAlexW2049510540MaRDI QIDQ4911673

Publication date: 20 March 2013

Published in: Physica Scripta (Search for Journal in Brave)

Abstract: The two dimensional ferromagnetic Ising model in the presence of a propagating magnetic field wave (with well defined frequency and wavelength) is studied by Mone Carlo simulation. This study differs from all of the earlier studies done so far, where the oscillating magnetic field was considered to be uniform in space. The time average magnetisation over a full cycle (the time period) of the propagating magnetic field acts as the dynamic order parameter. The dynamical phase transition is observed. The temperature variation of the dynamic order parameter, the mean square deviation of the dynamic order parameter, the dynamic specific heat and the derivative of the dynamic order parameter are studied. The mean square deviation of the dynamic order parameter, dynamic specific heat show sharp maxima near the transition point. The derivative of dynamic order parameter shows sharp minimum near the transition point. The transition temperature is found to depend also on the speed of propagation of the magnetic field wave.

Full work available at URL: https://arxiv.org/abs/1010.4366

zbMATH Keywords

dynamical phase transition Monte Carlo simulation ferromagnetic Ising model magnetic field wave

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Statistical mechanics of magnetic materials (82D40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)