Transfer operator analysis of the parallel dynamics of disordered Ising chains

Details Transfer operator analysis of the parallel dynamics of disordered Ising chains Transfer operator analysis of the parallel dynamics of disordered Ising chains

2011-03-29

arxiv.org/abs/1103.5595v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

2 figures, 10 pages, submitted to Philosophical Magazine

Scientific paper

We study the synchronous stochastic dynamics of the random field and random bond Ising chain. For this model the generating functional analysis methods of De Dominicis leads to a formalism with transfer operators, similar to transfer matrices in equilibrium studies, but with dynamical paths of spins and (conjugate) fields as arguments, as opposed to replicated spins. In the thermodynamic limit the macroscopic dynamics is captured by the dominant eigenspace of the transfer operator, leading to a relative simple and transparent set of equations that are easy to solve numerically. Our results are supported excellently by numerical simulations.

Affiliated with

Also associated with

No associations

Rating

Transfer operator analysis of the parallel dynamics of disordered Ising chains 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 Transfer operator analysis of the parallel dynamics of disordered Ising chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transfer operator analysis of the parallel dynamics of disordered Ising chains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-163142