Hysteresis behavior of the random-field Ising model with 2-spin-flip dynamics: Exact results on a Bethe lattice
arXiv:cond-mat/0609092 · doi:10.1140/epjb/e2007-00010-2
Abstract
We present an exact treatment of the hysteresis behavior of the zero-temperature random-field Ising model on a Bethe lattice when it is driven by an external field and evolved according to a 2-spin-flip dynamics. We focus on lattice connectivities z=2 (the one-dimensional chain) and z=3. For the latter case, we demonstrate the existence of an out-of-equilibrium phase transition, in contrast with the situation found with the standard 1-spin-flip dynamics. We discuss the influence of the degree of cooperativity of the (local) spin dynamics of the nonequilibrium response on the system.
arXiv comment18 pages, 13 figures, submitted to EPJB
References in corpus (15)
- The Bethe lattice spin glass revisited
- Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
- Avalanches, Barkhausen Noise, and Plain Old Criticality
- Zero-temperature Hysteresis in Random-field Ising Model on a Bethe Lattice
- Driving Rate Effects on Crackling Noise
- Spanning avalanches in the three-dimensional Gaussian Random Field Ising Model with metastable dynamics: field dependence and geometrical properties
- From inherent structures to pure states: some simple remarks and examples
- Crackling Noise, Power Spectra and Disorder Induced Critical Scaling
- Exact Expressions for Minor Hysteresis Loops in the Random Field Ising Model on a Bethe Lattice at Zero Temperature
- Distribution of Avalanche Sizes in the Hysteretic Response of Random Field Ising Model on a Bethe Lattice at Zero Temperature
- Rayleigh loops in the random-field Ising model on the Bethe lattice
- Hysteresis and avalanches in the T=0 random-field Ising model with 2-spin-flip dynamics
- Metastable states and T=0 hysteresis in the random-field Ising model on random graphs
- Ground state optimization and hysteretic demagnetization: the random-field Ising model
- Exact calculation of the energy contributions to the T=0 random-field Ising model with metastable dynamics on the Bethe lattice