The Topological Non-connectivity Threshold and magnetic phase transitions in classical anisotropic long-range interacting spin system
arXiv:cond-mat/0510835 · doi:10.1140/epjb/e2006-00061-9
Abstract
We analyze from the dynamical point of view the classical characteristics of the Topological Non-connectivity Threshold (TNT), recently introduced in F.Borgonovi, G.L.Celardo, M.Maianti, E.Pedersoli, J.Stat.Phys.,116,516(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.
6 revtex pages, 4 .eps figures Contribution presented at the 3rd Conference NEXT-Sigma-Phi News, Expectations, and Trends in Statistical Physics, August 13-18 2005, Kolymbari, Crete. For related results see also cond-mat/0402270 cond-mat/0410119 cond-mat/0505209 cond-mat/0506233 cond-mat/0510079
References in corpus (6)
- Inequivalence of ensembles in a system with long range interactions
- A Theorem on the origin of Phase Transitions
- Phase transitions and topology changes in configuration space
- Broken Ergodicity in classically chaotic spin systems
- Unattainability of a purely topological criterion for the existence of a phase transition for non-confining potentials
- Out-of-equilibrium states as statistical equilibria of an effective dynamics