PHASE TRANSITIONS AND HYSTERESIS IN NONLOCAL AND ORDER-PARAMETER MODELS

摘要

The paper describes two types of regularization to the basic quasistatic double-well potential problem in one space dimension. One model features a spatially nonlocal term while the other incorporates the use of an order parameter. Some basic existence and regularity results for these modified models are derived and some numerical calculations that show hysteresis and motion of phase boundaries are presented. [References: 23]