Hysteresis and hierarchies: Dynamics of disorder-driven first-order phase transformations

Journal Article · Mon May 24 04:00:00 EDT 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.70.3347· OSTI ID:6585316

Sethna, J P; Dahmen, K; Kartha, S; Krumhansl, J A; Roberts, B W; Shore, J D ^[1]

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

We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order phase transitions. Sweeping the external field through zero, the model exhibits hysteresis, the return-point memory effect, and avalanche fluctuations. There is a critical value of disorder at which a jump in the magnetization (corresponding to an infinite avalanche) first occurs. We study the universal behavior at this critical point using mean-field theory, and also present results of numerical simulations in three dimensions.

• DOE Contract Number: FG02-88ER45364
• OSTI ID: 6585316
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 70:21; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTAL MODELS
HYSTERESIS
ISING MODEL
MAGNETIC FIELDS
MAGNETIZATION
MATHEMATICAL MODELS
MATHEMATICS
MEAN-FIELD THEORY
NUMERICAL ANALYSIS
PHASE TRANSFORMATIONS