Swendsen-Wang dynamics on Z^d for disordered non ferromagnetic systems

Details Swendsen-Wang dynamics on Z^d for disordered non ferromagnetic systems Swendsen-Wang dynamics on Z^d for disordered non ferromagnetic systems

2002-06-26

arxiv.org/abs/math/0206276v1

Mathematics

Probability

29 pages, 2 figures

Scientific paper

We study the Swendsen-Wang dynamics for disordered non ferromagnetic Ising models on cubic subsets of the hypercubic lattice Z^d and we show that for all small values of the temperature parameter T the dynamics has a slow relaxation to equilibrium (it is torpid). Looking into this dynamics from the point of view of the Markov chains theory we can prove that the spectral radius goes to one when the size of the system goes to infinity. This means that, if we want to use the Swendsen-Wang dynamics for a computer simulation, we have a slow convergence to the stationary measure in low temperature. Also it is a good example of a non-local dynamics that relaxes slowly to the equilibrium measure.

Affiliated with

Also associated with

No associations

Rating

Swendsen-Wang dynamics on Z^d for disordered non ferromagnetic systems 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 Swendsen-Wang dynamics on Z^d for disordered non ferromagnetic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Swendsen-Wang dynamics on Z^d for disordered non ferromagnetic systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-195527