The magnetization-energy scaling limit in high dimension

DOI10.1007/BF01334759zbMath0718.60116OpenAlexW2057109431MaRDI QIDQ2639455

Charles M. Newmann, Joël De Coninck

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01334759

zbMATH Keywords

scaling limitrenormalization groupupper critical dimensionblock variablesbubble diagramnearest-neighbor Ising ferromagnet

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (3)

Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory ⋮ A CLT for the total energy of the two-dimensional critical Ising model ⋮ Planar Ising magnetization field. I: Uniqueness of the critical scaling limit

Cites Work

• Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
• On limit theorems for the bivariate (magnetization, energy) variable at the critical point
• On the critical behavior of the magnetization in high-dimensional Ising models
• Critical exponents for long-range interactions
• Gaussian correlation inequalities for ferromagnets
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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