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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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1572-9613

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Mean Field Dilute Ferromagnet High Temperature an

Authors: Luca De Sanctis Francesco Guerra
Publish Date: 2008/06/10
Volume: 132, Issue: 5, Pages: 759-
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Abstract

We study the mean field dilute model of a ferromagnet We find and prove an expression for the free energy density at high temperature and at temperature zero We find the critical line of the model separating the phase with zero magnetization from the phase with symmetry breaking We also compute exactly the entropy at temperature zero which is strictly positive The physical behavior at temperature zero is very interesting and related to infinite dimensional percolation and suggests possible behaviors at generic low temperatures Lastly we provide a complete solution for a partially annealed model Our results hold both for the Poisson and the Bernoulli versions of the model


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  2. Random Birth-and-Death Networks
  3. Fourth Moment Sum Rule for the Charge Correlations of a Two-Component Classical Plasma
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  6. Symmetry of the Linearized Boltzmann Equation and Its Application
  7. Activity of Excitatory Neuron with Delayed Feedback Stimulated with Poisson Stream is Non-Markov
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  9. Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System
  10. Knudsen Gas in a Finite Random Tube: Transport Diffusion and First Passage Properties
  11. New Horizons in Multidimensional Diffusion: The Lorentz Gas and the Riemann Hypothesis
  12. Clustering of Fermionic Truncated Expectation Values Via Functional Integration
  13. Large Deviations for Stationary Probabilities of a Family of Continuous Time Markov Chains via Aubry–Mather Theory
  14. Revisiting the Glansdorff–Prigogine Criterion for Stability Within Irreversible Thermodynamics
  15. Ground State Energy of the One-Dimensional Discrete Random Schrödinger Operator with Bernoulli Potential
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  17. The More the Merrier?
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  21. A Maximum Entropy Method Based on Piecewise Linear Functions for the Recovery of a Stationary Density of Interval Mappings
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