Exactly solved dynamics for an infiniterange spin system
Abstract
It is well known that the dynamical evolution of a system of N spins can be viewed as a walk along the edges of an Ndimensional hypercube. I use this correspondence in an infiniterange spin system to derive a diffusion equation for the magnetization. The diffusion equation then leads to an ordinary differential equation that describes the time evolution of the magnetization for any given initial condition, and it is used to derive both static and dynamic properties of the spin system.
 Publication:

Physical Review E
 Pub Date:
 February 2001
 DOI:
 10.1103/PhysRevE.63.026116
 Bibcode:
 2001PhRvE..63b6116M
 Keywords:

 05.70.Fh;
 64.60.Ht;
 75.10.Hk;
 Phase transitions: general studies;
 Dynamic critical phenomena;
 Classical spin models