Dynamical decimation renormalization-group technique: kinetic gaussian model on nonbranching, branching, and multibranching koch curves
A generalizing formulation of dynamical real-space renormalization that is appropriate for arbitrary spin systems is suggested. The alternative version replaces single-spin flipping Glauber dynamics with single-spin transition dynamics. As an application, in this paper we mainly investigate the critical slowing down of the Gaussian spin model on three fractal lattices, including nonbranching, branching, and multibranching Koch curves. The dynamical critical exponent z is calculated for these lattices using an exact decimation renormalization transformation in the assumption of the magneticlike perturbation, and a universal result z=1/nu is found.
Zhu
JY
CCAST (World Laboratory), Box 8730, Beijing 100080, China and Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, Chinadagger and Department of Physics, Jiangxi Normal University, Nanchang 3.
Yang
ZR