Interfaces and typical Gibbs configurations for one-dimensional Kac potentials

DOI10.1007/BF01195883zbMath0791.60096MaRDI QIDQ1326335

Marzio Cassandro, Enza Orlandi, Errico Presutti

Publication date: 7 July 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

critical temperatureGibbs random fieldsferromagnetic Kac potentialone-dimensional Ising spin systemtypical magnetization pattern

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

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Time dependent critical fluctuations of a one dimensional local mean field model ⋮ Froth-like minimizers of a non-local free energy functional with competing interactions ⋮ Interface in a one-dimensional Ising spin system ⋮ Two connections between random systems and non-Gibbsian measures ⋮ Phase transitions in layered systems ⋮ Chains of mean-field models ⋮ Hard-sphere fluids with chemical self-potentials ⋮ Mesoscopic modeling for continuous spin lattice systems: model problems and micromagnetics applications ⋮ Global attractor and nonhomogeneous equilibria for a nonlocal evolution equation in an unbounded domain ⋮ On the validity of an einstein relation in models of interface dynamics ⋮ Renewal properties of the d = 1 Ising model ⋮ Dobrushin states in the \(\phi^4_1\) model ⋮ Large deviation principles for the Hopfield model and the Kac-Hopfield model ⋮ Distribution of cracks in a chain of atoms at low temperature ⋮ Typical configurations for one-dimensional random field Kac model ⋮ The low-temperature phase of Kac-Ising models ⋮ Unnamed Item ⋮ Mean field analysis of low-dimensional systems ⋮ Kac polymers ⋮ Surface tension in Ising systems with Kac potentials. ⋮ Constrained minima of nonlocal free energy functionals.

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