TY - JOUR
T1 - Disorder-induced critical phenomena in hysteresis
T2 - Numerical scaling in three and higher dimensions
AU - Perković, Olga
AU - Dahmen, Karin A.
AU - Sethna, James P.
PY - 1999
Y1 - 1999
N2 - We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a sharp jump in the magnetization, as the disorder in our model is decreased. In a large region near the critical point, we find scaling and critical phenomena, which are well described by the results of an ε expansion about six dimensions. We present the results of simulations in three, four, and five dimensions, with systems with up to a billion spins (10003).
AB - We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a sharp jump in the magnetization, as the disorder in our model is decreased. In a large region near the critical point, we find scaling and critical phenomena, which are well described by the results of an ε expansion about six dimensions. We present the results of simulations in three, four, and five dimensions, with systems with up to a billion spins (10003).
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U2 - 10.1103/PhysRevB.59.6106
DO - 10.1103/PhysRevB.59.6106
M3 - Article
AN - SCOPUS:4244033627
SN - 1098-0121
VL - 59
SP - 6106
EP - 6119
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 9
ER -