https://doi.org/10.1140/epjb/e2006-00061-9
The Topological Nonconnectivity Threshold and magnetic phase transitions in classical anisotropic long-range interacting spin systems
1
Dipartimento di Matematica e Fisica, Università Cattolica, via Musei 41, 25121 Brescia, Italy
2
I.N.F.N., Sezione di Pavia, Italy
Corresponding author: a celardo@sirio.ifuap.buap.mx
Received:
10
November
2005
Revised:
1
December
2005
Published online:
20
February
2006
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
