Hierarchical ferromagnetic vector spin model possessing the Lee-Yang property. Thermodynamic limit at the critical point and above

DOI10.1007/BF02181245zbMath0937.82010OpenAlexW1987510535MaRDI QIDQ1285009

Yuri V. Kozitskij

Publication date: 6 June 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02181245

zbMATH Keywords

critical pointGibbs measureLaplace transformationLee-Yang propertyhierarchical ferromagnetic vector spin modelthermodynamic limit theorem

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (5)

A nonlinear dynamical system on the set of Laguerre entire functions ⋮ Lee-Yang zeros and two-time spin correlation function ⋮ Laguerre entire functions and the Lee-Yang property. ⋮ Hierarchical spherical model from a geometric point of view ⋮ A hierarchical model of quantum anharmonic oscillators: critical point convergence

Cites Work

• Non-Gaussian fixed points of the block spin transformation. Hierarchical model approximation
• Renormalization of Dyson's hierarchical vector valued \(\Phi ^ 4\) model at low temperatures
• Critical phenomena and universal exponents in statistical physics. On Dyson's hierarchical model
• Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal
• Hierarchical model of a vector ferromagnet. Selfsimilar block-spin distributions and the Lee-Yang theorem

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