Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-03-07
Eur. Phys. J. B 47, 306 (2005)
Physics
Condensed Matter
Statistical Mechanics
Replaced by accepted version in Eur. Phys. J B
Scientific paper
10.1140/epjb/e2005-00337-6
The zero temperature quenching dynamics of the ferromagnetic Ising model on a densely connected small world network is studied where long range bonds are added randomly with a finite probability $p$. We find that in contrast to the sparsely connected networks and random graph, there is no freezing and an initial random configuration of the spins reaches the equilibrium configuration within a very few Monte Carlo time steps in the thermodynamic limit for any $p \ne 0$. The residual energy and the number of spins flipped at any time shows an exponential relaxation to equilibrium. The persistence probability is also studied and it shows a saturation within a few time steps, the saturation value being 0.5 in the thermodynamic limit. These results are explained in the light of the topological properties of the network which is highly clustered and has a novel small world behaviour.
Das Pratap Kumar
Sen Parongama
No associations
LandOfFree
Zero temperature dynamics of Ising model on a densely connected small world network 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 Zero temperature dynamics of Ising model on a densely connected small world network, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero temperature dynamics of Ising model on a densely connected small world network will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-557293