Symmetry breaking and random waves for magnetic systems on a circle

DOI10.1007/BF00542534zbMath0494.60097MaRDI QIDQ3957759

Karl-Theodor Eisele, Richard S. Ellis

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

thermodynamic limitfree energy functionallocal law of large numbersspecific free energycircle models

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)

Related Items

Interfaces and typical Gibbs configurations for one-dimensional Kac potentials, Coarse-grained stochastic processes and Monte Carlo simulations in lattice systems., Large deviation estimates for a conditional probability distribution. Applications to random interaction Gibbs measures, Asymptotic dynamics, non-critical and critical fluctuations for a geometric long-range interacting model, Equilibrium states of inhomogeneous mean-field quantum spin systems with random sites, Interface in a one-dimensional Ising spin system, On large deviations of interface motions for statistical mechanics models, Limit theorems for the empirical vector of the Curie-Weiss-Potts model, Multiple phase transitions in the generalized Curie-Weiss model., Limit theorems for maximum likelihood estimators in the Curie-Weiss-Potts model, Unnamed Item, On Secondary Bifurcations for Some Nonlinear Convolution Equations, Mesoscopic modeling for continuous spin lattice systems: model problems and micromagnetics applications, On the validity of an einstein relation in models of interface dynamics, Unnamed Item, Variational description of Gibbs-non-Gibbs dynamical transitions for spin-flip systems with a Kac-type interaction, Spatializing random measures: doubly indexed processes and the large deviation principle, On the Gaussian fluctuations of the critical Curie-Weiss model in statistical mechanics, Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model, Surface tension in Ising systems with Kac potentials., Complete analysis of phase transitions and ensemble equivalence for the Curie–Weiss–Potts model, Fluctuations of the magnetization in the block Potts model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Laplace's method for Gaussian integrals with an application to statistical mechanics
• The Action Functional for a Class of Stochastic Processes
• Asymptotic evaluation of certain Markov process expectations for large time—III
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Necessary and Sufficient Conditions for the GHS Inequality with Applications to Analysis and Probability
• Theorems on the Action Functional for Gaussian Random Functions
• Asymptotic probabilities and differential equations