Decay of correlations in multicomponent ferromagnets with long-range interaction

DOI10.1016/S0034-4877(05)80092-8zbMath1086.82004MaRDI QIDQ817444

Alina Kargol

Publication date: 16 March 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

decay of correlationsparamagnetic phasescalar dominationvector spin model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS ⋮ Decay of correlations in N-vector ferromagnetic quantum models with long-range interactions

Cites Work

• Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
• Gibbs measures and phase transitions
• Decay of the two-point function in one-dimensional \(\text{O}(N)\) spin models with long-range interactions.
• Gibbs measures relative to Brownian motion
• Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
• Scalar domination and normal fluctuations in \(N\)-vector quantum anharmonic crystals
• On decay of correlations for unbounded spin systems with arbitrary boundary conditions

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