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Title of Journal: J Stat Phys

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Abbravation: Journal of Statistical Physics

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Springer US

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DOI

10.1007/bf03555576

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1572-9613

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Real Spin Glasses Relax Slowly in the Shade of Hie

Authors: E Vincent J Hammann M Ocio
Publish Date: 2009/04/03
Volume: 135, Issue: 5-6, Pages: 1105-
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Abstract

The Parisi solution of the meanfield spin glass has been widely accepted and celebrated Its marginal stability in 3d and its complexity however raised the question of its relevance to real spin glasses This paper gives a short overview of the important experimental results which could be understood within the meanfield solution The existence of a true phase transition and the particular behaviour of the susceptibility below the freezing temperature predicted by the theory are clearly confirmed by the experimental results The behaviour of the complex order parameter and of the Fluctuation Dissipation ratio are in good agreement with results of spontaneous noise measurements The very particular ultrametric symmetry the key feature of the theory provided us with a simple description of the rejuvenation and memory effects observed in experiment Finally going a step beyond meanfield the paper shortly discusses new analyses in terms of correlated domains characterized by their length scales as well as new experiments on superspin glasses which compare well with recent theoretical simulations

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  1. Mean Field Dilute Ferromagnet: High Temperature and Zero Temperature Behavior
  2. Probabilistic Cellular Automata for Low-Temperature 2-d Ising Model
  3. Random Birth-and-Death Networks
  4. Fourth Moment Sum Rule for the Charge Correlations of a Two-Component Classical Plasma
  5. On Asymptotic Behavior of Multilinear Eigenvalue Statistics of Random Matrices
  6. Products of Random Matrices and Generalised Quantum Point Scatterers
  7. Symmetry of the Linearized Boltzmann Equation and Its Application
  8. Activity of Excitatory Neuron with Delayed Feedback Stimulated with Poisson Stream is Non-Markov
  9. Replica Symmetry Breaking Condition Exposed by Random Matrix Calculation of Landscape Complexity
  10. Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System
  11. Knudsen Gas in a Finite Random Tube: Transport Diffusion and First Passage Properties
  12. New Horizons in Multidimensional Diffusion: The Lorentz Gas and the Riemann Hypothesis
  13. Clustering of Fermionic Truncated Expectation Values Via Functional Integration
  14. Large Deviations for Stationary Probabilities of a Family of Continuous Time Markov Chains via Aubry–Mather Theory
  15. Revisiting the Glansdorff–Prigogine Criterion for Stability Within Irreversible Thermodynamics
  16. Ground State Energy of the One-Dimensional Discrete Random Schrödinger Operator with Bernoulli Potential
  17. A Pearson Random Walk with Steps of Uniform Orientation and Dirichlet Distributed Lengths
  18. The More the Merrier?
  19. Non-equilibrium Phase Diagram for a Model with Coalescence, Evaporation and Deposition
  20. Galton–Watson Trees with Vanishing Martingale Limit
  21. A Maximum Entropy Method Based on Piecewise Linear Functions for the Recovery of a Stationary Density of Interval Mappings
  22. Uniform Approximation of the Integrated Density of States for Long-Range Percolation Hamiltonians
  23. Dynamics of Infinitely Many Particles Mutually Interacting in Three Dimensions via a Bounded Superstable Long-Range Potential
  24. Statistical Mechanics of Nucleosomes Constrained by Higher-Order Chromatin Structure
  25. Large Deviations for the Branching Brownian Motion in Presence of Selection or Coalescence
  26. Clustering Bounds on n -Point Correlations for Unbounded Spin Systems
  27. Dissipative Diamagnetism—A Case Study for Equilibrium and Nonequilibrium Statistical Mechanics
  28. On the Transfer of Energy Towards Infinity in the Theory of Weak Turbulence for the Nonlinear Schrödinger Equation
  29. Finite-Time Fluctuations in the Degree Statistics of Growing Networks
  30. Exotic Ground States of Directional Pair Potentials via Collective-Density Variables
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  32. Repeated Interaction Quantum Systems: Van Hove Limits and Asymptotic States
  33. On the Dynamics of the Glass Transition on Bethe Lattices
  34. Coarsening Dynamics on $$\mathbb {Z}^d$$ with Frozen Vertices
  35. A Class of Random Walks in Reversible Dynamic Environments: Antisymmetry and Applications to the East Model
  36. Power-law Decay and the Ergodic–Nonergodic Transition in Simple Fluids
  37. Rigorous Treatment of the Liquid-Vapor Transition in a Polydisperse System with Kac Interaction
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  40. Parameter Estimation for Multiscale Diffusions
  41. Onsager and Kaufman’s Calculation of the Spontaneous Magnetization of the Ising Model: II
  42. Injected Power Fluctuations in 1D Dissipative Systems
  43. Anomalies in Conductance and Localization Length of Disordered Ladders
  44. Finite-Size Scaling in the Energy-Entropy Plane for the 2D ± Ising Spin Glass
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