The Topological Nonconnectivity Threshold and magnetic phase transitions in classical anisotropic long-range interacting spin systems

  • R. Trasarti-Battistoni
  • F. Borgonovi
  • G. L. Celardo
Hamiltonian Systems

Abstract.

We review, with emphasis on the dynamical point of view, the classical characteristics of the Topological Nonconnectivity Threshold (TNT), recently introduced in F. Borgonovi, G.L. Celardo, M. Maianti and E. Pedersoli, J. Stat. Phys. 116, 1435 (2004). This shows interesting connections among Topology, Dynamics, and Thermo-Statistics of ferro/paramagnetic phase transition in classical spin systems, due to the combined effect of anisotropy and long-range interactions.

PACS.

05.45.-a Nonlinear dynamics and nonlinear dynamical systems 05.45.Pq Numerical simulations of chaotic systems 75.10.Hk Classical spin models  

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  • R. Trasarti-Battistoni
    • 1
  • F. Borgonovi
    • 1
    • 2
  • G. L. Celardo
    • 1
  1. 1.Dipartimento di Matematica e FisicaUniversità CattolicaBresciaItaly
  2. 2.I.N.F.N.Sezione di PaviaItaly

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