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RESEARCH PRODUCT

?Almost? mean-field ising model: An algebraic approach

Fabio BagarelloCamillo Trapani

subject

Pure mathematicsGroup (mathematics)Statistical and Nonlinear PhysicsDimension of an algebraic varietySquare-lattice Ising modelalgebraic approachAutomorphismSpin systemCombinatoricsAlgebraic cyclePhysics and Astronomy (all)Thermodynamic limitIsing modelAlgebraic numberthermodynamical limitSettore MAT/07 - Fisica MatematicaMathematical PhysicsStatistical and Nonlinear PhysicMathematics

description

We study the thermodynamic limit of the algebraic dynamics for an "almost" mean-field Ising model, which is a slight generalization of the Ising model in the mean-field approximation. We prove that there exists a family of "relevant" states on which the algebraic dynamics αt can be defined. This αt defines a group of automorphisms of the algebra obtained by completing the standard spin algebra with respect to the quasiuniform topology defined by our states. © 1991 Plenum Publishing Corporation.

yearjournalcountryeditionlanguage
1991-11-01Journal of Statistical Physics
https://doi.org/10.1007/bf01053740