Facilitated Ising Model with Soft Restrictions

✍ Scribed by M. Schulz; S. Trimper

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 134 KB
• Volume: 215
• Category: Article
• ISSN: 0370-1972
• DOI: 10.1002/(sici)1521-3951(199910)215:2<1119::aid-pssb1119>3.0.co;2-c

✦ Synopsis

An analytical approach is proposed to include dynamical constraints into a kinetic Ising model where the spins are subjected to flip processes. The relaxation time shows a non-Arrhenius behaviour. When the constraints are realized with a certain probability the relaxation time decreases further. For that case a general relation is derived the validity of which is demonstrated for different probability distributions. As a special case we consider a deterministic constraint regarded as a voter model, which may lead to an unstable behaviour.