Chaos and Universality in a Four-Dimensional Spin Glass
arXiv:cond-mat/9707172 · doi:10.1103/PhysRevB.57.492
Abstract
We present a finite size scaling analysis of Monte Carlo simulation results on a four dimensional Ising spin glass. We study chaos with both coupling and temperature perturbations, and find the same chaos exponent in each case. Chaos is investigated both at the critical temperature and below where it seems to be more efficient (larger exponent). Dimension four seems to be above the critical dimension where chaos with temperature is no more present in the critical region. Our results are consistent with the Gaussian and bimodal coupling distributions being in the same universality class.
11 pages, including 6 postscript figures. Latex with revtex macros
References in corpus (2)
Cited by in corpus (46)
- Spin Glasses: A Ghost Story
- Domain-Wall Free-Energy of Spin Glass Models:Numerical Method and Boundary Conditions
- Seeking Quantum Speedup Through Spin Glasses: The Good, the Bad, and the Ugly
- Best-case performance of quantum annealers on native spin-glass benchmarks: How chaos can affect success probabilities
- Temperature and Disorder Chaos in Three-Dimensional Ising Spin Glasses
- Unraveling Quantum Annealers using Classical Hardness
- Evidences Against Temperature Chaos in Mean Field and Realistic Spin Glasses
- Temperature chaos in 3D Ising Spin Glasses is driven by rare events
- Temperature Chaos and Bond Chaos in the Edwards-Anderson Ising Spin Glass : Domain-Wall Free-Energy Measurements
- Thermalization, freeze-out and noise: deciphering experimental quantum annealers
- Analog Errors in Ising Machines
- Fragility of the Free-Energy Landscape of a Directed Polymer in Random Media
- Disorder chaos in spin glasses
- Chaotic, memory and cooling rate effects in spin glasses: Is the Edwards-Anderson model a good spin glass?
- Overlap Among States at Different Temperatures in the SK Model
- Temperature chaos is present in off-equilibrium spin-glass dynamics
- Chaos in Glassy Systems from a TAP Perspective
- Magnetic field chaos in the SK Model
- Against Chaos in Temperature in Mean-Field Spin-Glass Models
- Dynamic critical behaviour in Ising spin glasses
- Against temperature chaos in naive Thouless-Anderson-Palmer equations
- Bond chaos in spin glasses revealed through thermal boundary conditions
- Step-wise responses in mesoscopic glassy systems: a mean field approach
- Universality and universal finite-size scaling functions in four-dimensional Ising spin glasses
- Evidence for Temperature Chaos in Spin Glasses
- Spin glasses and algorithm benchmarks: A one-dimensional view
- Bond chaos in the Sherrington-Kirkpatrick model
- Critical behavior of interfaces in disordered Potts ferromagnets : statistics of free-energy, energy and interfacial adsorption
- Chaos in Temperature in Diluted Mean-Field Spin-Glasses
- Chaotic temperature and bond dependence of four-dimensional Gaussian spin glasses with partial thermal boundary conditions
- Zero-temperature spinglass-ferromagnetic transition : scaling analysis of the domain-wall energy
- Rare events analysis of temperature chaos in the Sherrington-Kirkpatrick model
- Disordered Potts model on the diamond hierarchical lattice: Numerically exact treatment in the large-q limit
- Equilibrium of disordered systems : constructing the appropriate valleys in each sample via strong disorder renormalization in configuration space
- One-dimensional Ising spin-glass with power-law interaction : real-space renormalization at zero temperature
- The Ising Spin Glass in dimension four
- Chaos properties of the one-dimensional long-range Ising spin-glass
- Partition-function zeros of spherical spin glasses and their relevance to chaos
- Anomalous distribution of magnetization in an Ising spin glass with correlated disorder
- Temperature shifts in the Sinai model: static and dynamical effects
- Fractal dimension of spin glasses interfaces in dimensions and via strong disorder renormalization at zero temperature
- Spin-glass dynamics: experiment, theory and simulation
- Instability of the ferromagnetic phase under random fields in an Ising spin glass with correlated disorder
- Temperature chaos as a logical consequence of the reentrant transition in spin glasses
- Structural Comparison of Error Mitigation Methods for Ising Machines: Penalty-Spin Model versus Stacked Model
- Quantitative analysis of the effectiveness of mid-anneal measurement in quantum annealing