Disorder-induced critical phenomena in hysteresis: Numerical scaling in three and higher dimensions

Journal Article · Mon Mar 01 04:00:00 EST 1999 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.59.6106· OSTI ID:321526

Perkovic, O; Dahmen, K A; Sethna, J P ^[1]

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1. Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501 (United States)

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 {epsilon} expansion about six dimensions. We present the results of simulations in three, four, and five dimensions, with systems with up to a billion spins (1000{sup 3}). thinsp {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 321526
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 9 Vol. 59; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
HYSTERESIS
ISING MODEL
MAGNETIZATION
NUMERICAL SOLUTION
SIMULATION
SPIN