Dynamics of mean-field spin models from basic results in abstract differential equations

Fabio Bagarello, Morchio, Bagarello

Risultato della ricerca: Article

48 Citazioni (Scopus)

Abstract

The infinite-volume limit of the dynamics of (generalized) mean-field spin models is obtained through a direct analysis of the equations of motion, in a large class of representations of the spin algebra. The resulting dynamics fits into a general framework for systems with long-range interaction: variables at infinity appear in the time evolution of local variables and spontaneous symmetry breaking with an energy gap follows from this mechanism. The independence of the construction of the approximation scheme in finite volume is proven. © 1992 Plenum Publishing Corporation.
Lingua originaleEnglish
pagine (da-a)849-866
Numero di pagine18
RivistaJournal of Statistical Physics
Volume66
Stato di pubblicazionePublished - 1992

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Abstract Differential Equations
Mean-field Model
Spin Models
differential equations
Spontaneous Symmetry Breaking
Energy Gap
Long-range Interactions
Approximation Scheme
Finite Volume
infinity
Equations of Motion
broken symmetry
algebra
equations of motion
Infinity
Algebra
approximation
interactions
Independence
Framework

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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Dynamics of mean-field spin models from basic results in abstract differential equations. / Bagarello, Fabio; Morchio; Bagarello.

In: Journal of Statistical Physics, Vol. 66, 1992, pag. 849-866.

Risultato della ricerca: Article

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