Discontinuous scaling of hysteresis losses

Journal Article · Fri Jul 01 00:00:00 EDT 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.50.224· OSTI ID:7032747

Luse, C N; Zangwill, A ^[1]

---

1. School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332 (United States)

We study the dependence of hysteresis loop area [ital A] on the frequency [Omega] and amplitude [ital H] of the driving field for several mean-field treatments of the kinetic Ising model. An unusual [ital discontinuous] double-power-law scaling behavior is found in all cases. In the low-frequency regime, it is found that [ital A][minus][ital A][sub 0][similar to][ital H][sup 2/3][Omega][sup 2/3][ital scrG][sub [ital L]]([Omega]/[ital H][sup [gamma]]), where [ital A][sub 0] is the zero-frequency value of the loop area, [ital scrG][sub [ital L]] is a scaling function, and [gamma] is a model-dependent exponent. In the high-frequency regime, the loop area itself scales with frequency and amplitude as [ital A][similar to][ital H][sup [alpha]][Omega][sup [minus]1], where [alpha] is also a model-dependent exponent. The transition between these extremes is sharp and can be characterized by an amplitude-dependent critical frequency. We also note differences in behavior above and below the critical ordering temperature [ital T][sub [ital C]].

• DOE Contract Number: FG05-88ER45369
• OSTI ID: 7032747
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Vol. 50:1; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HYSTERESIS
SCALING LAWS
ISING MODEL
CRITICAL TEMPERATURE
FLUCTUATIONS
FREQUENCY DEPENDENCE
LOSSES
MEAN-FIELD THEORY
NUMERICAL SOLUTION
CRYSTAL MODELS
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
VARIATIONS
665000* - Physics of Condensed Matter- (1992-)