Convergence in Energy-Lowering (Disordered) Stochastic Spin Systems
| dc.creator | De Santis, Emilio | |
| dc.creator | Newman, Charles M. | |
| dc.date | 2002-03-22 | |
| dc.date.accessioned | 2026-07-07T04:47:14Z | |
| dc.date.available | 2026-07-07T04:47:14Z | |
| dc.description | We consider stochastic processes, S^t \equiv (S_x^t : x \in Z^d), with each S_x^t taking values in some fixed finite set, in which spin flips (i.e., changes of S_x^t) do not raise the energy. We extend earlier results of Nanda-Newman-Stein that each site x has almost surely only finitely many flips that strictly lower the energy and thus that in models without zero-energy flips there is convergence to an absorbing state. In particular, the assumption of finite mean energy density can be eliminated by constructing a percolation-theoretic Lyapunov function density as a substitute for the mean energy density. Our results apply to random energy functions with a translation-invariant distribution and to quite general (not necessarily Markovian) dynamics. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203234 | |
| dc.identifier | http://arxiv.org/abs/math/0203234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63633 | |
| dc.subject | Probability | |
| dc.subject | 60K35, 60K37 (Primary) 82C44 (Secondary) | |
| dc.title | Convergence in Energy-Lowering (Disordered) Stochastic Spin Systems | |
| dc.type | text |