Spin glasses and other lattice systems with long range interactions

DOI10.1007/BF01260392zbMath0661.60128MaRDI QIDQ1113225

Jürg Fröhlich, Bogusław Zegarliński

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

statistical mechanicslattice systemsreal spin glasses

Mathematics Subject Classification ID

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

Related Items (9)

A representation of Gibbs measure for the random energy model. ⋮ Extensive nature of long range interactions: role of disorder ⋮ On equivalence of spin and field pictures of lattice systems ⋮ Construction of convergent simplicial approximations of quantum fields on Riemannian manifolds ⋮ Interactions and pressure functionals for disordered lattice systems ⋮ Dobrushin uniqueness theorem and logarithmic Sobolev inequalities ⋮ Decay to equilibrium in random spin systems on a lattice ⋮ Thermodynamics for the zero-level set of the Brownian bridge ⋮ Unnamed Item

Cites Work

• Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Correlation inequalities on some partially ordered sets
• On the Partition Function of a One-Dimensional Gas
• Partition functions as averages of functionals of gaussian random functions

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