Finite-size scaling and surface tension from effective one dimensional systems

DOI10.1007/BF02099138zbMath0754.60129WikidataQ59482416 ScholiaQ59482416MaRDI QIDQ1193085

John Z. Imbrie, Christian Borgs

Publication date: 27 September 1992

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

zbMATH Keywords

Ising modelfirst-order phase transitionscylindrical scalingdiagonal matrix elementsmetastable free energiesoff-diagonal matrix elements

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items (7)

Crossover finite-size scaling at first-order transitions ⋮ Tunneling and energy splitting in Ising models ⋮ A vanishing theorem for supersymmetric quantum field theory and finite size effects in multiphase cluster expansions ⋮ Finite-size scaling of the mass-gap for first-order phase transitions ⋮ Dobrushin states for classical spin systems with complex interactions ⋮ Surface-induced finite-size effects for first-order phase transitions. ⋮ Vacuum geometry of the \(N=2\) Wess-Zumino model

Cites Work

• Statistical mechanical methods in particle structure analysis of lattice field theories. II. Scalar and surface models
• The phase structure of the two-dimensional \(N=2\) Wess-Zumino model
• Interfaces in the Potts model. I: Pirogov-Sinai theory of the Fortuin- Kasteleyn representation
• Index of a family of Dirac operators on loop space
• A unified approach to phase diagrams in field theory and statistical mechanics
• Space-dependent Dirac operators and effective quantum field theory for fermions
• A vanishing theorem for supersymmetric quantum field theory and finite size effects in multiphase cluster expansions
• Crossover finite-size scaling at first-order transitions
• Rigid interfaces for lattice models at low temperatures.
• Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model

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