Chaotic temperature dependence in a model of spin glasses
arXiv:cond-mat/0203449 · doi:10.1140/epjb/e2002-00221-y
Abstract
We address the problem of chaotic temperature dependence in disordered glassy systems at equilibrium by following states of a random-energy random-entropy model in temperature; of particular interest are the crossings of the free-energies of these states. We find that this model exhibits strong, weak or no temperature chaos depending on the value of an exponent. This allows us to write a general criterion for temperature chaos in disordered systems, predicting the presence of temperature chaos in the Sherrington-Kirkpatrick and Edwards-Anderson spin glass models, albeit when the number of spins is large enough. The absence of chaos for smaller systems may justify why it is difficult to observe chaos with current simulations. We also illustrate our findings by studying temperature chaos in the naive mean field equations for the Edwards-Anderson spin glass.
10 pages, 5 figures; To be published in European Physics Journal B
Cited by in corpus (32)
- The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective
- Generalization of the cavity method for adiabatic evolution of Gibbs states
- Temperature and Disorder Chaos in Three-Dimensional Ising Spin Glasses
- Replica theory of the rigidity of structural glasses
- Chaos in temperature in the Sherrington-Kirkpatrick model
- Avalanches in mean-field models and the Barkhausen noise in spin-glasses
- Mean-field avalanches in jammed spheres
- Unraveling Quantum Annealers using Classical Hardness
- Following Gibbs States Adiabatically - The Energy Landscape of Mean Field Glassy Systems
- Temperature chaos in 3D Ising Spin Glasses is driven by rare events
- Chaos in spin glasses revealed through thermal boundary conditions
- Random subcubes as a toy model for constraint satisfaction problems
- Disorder chaos in spin glasses
- Temperature and Disorder Chaos in Low Dimensional Directed Paths
- Practical engineering of hard spin-glass instances
- Temperature chaos is present in off-equilibrium spin-glass dynamics
- Dynamic Variational Study of Chaos: Spin Glasses in Three Dimensions
- Chaos in Glassy Systems from a TAP Perspective
- A solvable model of quantum random optimization problems
- Magnetic field chaos in the SK Model
- Temperature chaos is a non-local effect
- Step-wise responses in mesoscopic glassy systems: a mean field approach
- The nature of the different zero-temperature phases in discrete two-dimensional spin glasses: Entropy, universality, chaos and cascades in the renormalization group flow
- Evidence for Temperature Chaos in Spin Glasses
- On temperature chaos in Ising and XY Spin Glasses
- Temperature chaos in a replica symmetry broken spin glass model - A hierarchical model with temperature chaos -
- Spin-glass dynamics: experiment, theory and simulation
- Evolutionary dynamics on strongly correlated fitness landscapes
- Aging, memory and rejuvenation: some lessons from simple models
- The effect of quantum fluctuations on the coloring of random graphs
- Temperature chaos and quenched heterogeneities
- Rényi complexity in mean-field disordered systems