Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-02-17
J. Phys. A 37, 5525 (2004)
Physics
Condensed Matter
Statistical Mechanics
21 pages, 5 figures
Scientific paper
10.1088/0305-4470/37/21/003
We discuss analytical approximation schemes for the dynamics of diluted spin models. The original dynamics of the complete set of degrees of freedom is replaced by a hierarchy of equations including an increasing number of global observables, which can be closed approximately at different levels of the hierarchy. We illustrate this method on the simple example of the Ising ferromagnet on a Bethe lattice, investigating the first three possible closures, which are all exact in the long time limit, and which yield more and more accurate predictions for the finite-time behavior. We also investigate the critical region around the phase transition, and the behavior of two-time correlation functions. We finally underline the close relationship between this approach and the dynamical replica theory under the assumption of replica symmetry.
Semerjian Guilhem
Weigt Martin
No associations
LandOfFree
Approximation schemes for the dynamics of diluted spin models: the Ising ferromagnet on a Bethe lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Approximation schemes for the dynamics of diluted spin models: the Ising ferromagnet on a Bethe lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approximation schemes for the dynamics of diluted spin models: the Ising ferromagnet on a Bethe lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-237496