Critical dynamics by real-space renormalisation group

Bibhas Bhattacharyya, Shreekantha Sil

Roberto Petronzio A

Y Achiam

The critical slowing down, and its dynamic exponent are studied in the one-dimensional Glauber-Ising model. The calculations serve as an example of the application of the ideas of the real space renormalisation group in time-dependent problems.

Gene F. Mazenko

Y Achiam

J M Nunes da Silva, Eduardo Lage

Real-space renormalisation group techniques are applied to obtain the critical dynamic behaviour of the Ising linear chain, subjected to Kawasaki dynamics. The critical dynamic exponent is found to be z=5 and z=2, respectively, for ferromagnetic and antiferromagnetic nearest-neighbour interactions. The authors also show that a small admixture of Glauber dynamics will lead to the non-conserved behaviour (z=2).