Dual Statistical Systems and Geometrical String

Abstract

We analyse statistical system with interface energy proportional to the length of the edges of interface. We have found the dual system high temperature expansion of which equally well generates surfaces with linear amplitude. These dual systems are in the same relation as 3D Ising ferromagnet to the 3D Gauge spin system.

8 pages, Latex

References in corpus (7)

• Geometrical String and Spin Systems
• Gonihedric String and Asymptotic Freedom
• Self-Avoiding Gonihedric Srting and Spin Systems
• String fine tuning
• Critical and Topological Properties of Cluster Boundaries in the $3d$ Ising Model
• On subdivision invariant actions for random surfaces
• A Lower Estimate for the Modified Steiner Functional

Cited by in corpus (23)

• Generalized Transformation for Decorated Spin Models
• Quantum mechanical and information theoretic view on classical glass transitions
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• Non-Standard Finite-Size Scaling at First-Order Phase Transitions
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• Slow dynamics in the 3--D gonihedric model
• String tension in gonihedric 3D Ising models
• The chaotic emergence of thermalization in highly excited string decays
• Gonihedric (and Fuki-Nuke) Order
• Multicanonical analysis of the plaquette-only gonihedric Ising model and its dual
• Phase structure of four-dimensional gonihedric spin system
• Exact solutions to plaquette Ising models with free and periodic boundaries
• Multi-criticality of the three-dimensional Ising model with plaquette interactions: An extension of Novotny's transfer-matrix formalism
• Loop transfer matrix and gonihedric loop diffusion
• New Random Ordered Phase in Isotropic Models with Many-body Interactions
• The spectrum of a transfer matrix for loops
• The Dual Gonihedric 3D Ising Model
• The Gonihedric Paradigm Extensions of the Ising Model
• Planar ordering in the plaquette-only gonihedric Ising model
• Fixed boundary conditions analysis of the 3d Gonihedric Ising model with $\kappa =0$
• Critical behaviour of the three-dimensional gonihedric Ising Model
• (Four) Dual Plaquette 3D Ising Models
• Three-dimensional Gonihedric Potts model