Hysteresis loop critical exponents in 6[minus][epsilon] dimensions

Journal Article · Mon Nov 08 04:00:00 EST 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.71.3222· OSTI ID:5727820

Dahmen, K; 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)

The hysteresis loop in the zero-temperature random-field Ising model exhibits a critical point as the width of the disorder increases. Above six dimensions, the critical exponents of this transition, where the infinite avalanche'' first disappears, are described by mean-field theory. We expand the critical exponents about mean-field theory, in 6[minus][epsilon] dimensions, to first order in [epsilon]. Despite [epsilon]=3, the values obtained agree reasonably well with the numerical values in three dimensions.

• DOE Contract Number: FG02-88ER45364
• OSTI ID: 5727820
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 71:19; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTAL MODELS
DIAGRAMS
HYSTERESIS
ISING MODEL
MAGNETISM
MATHEMATICAL MODELS
MEAN-FIELD THEORY
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
TEMPERATURE ZERO K