Open AccessSTUDIES ON CRITICAL DYNAMICS OF GAUSSIAN SPIN SYSTEMS ON SIERPINSKI GASKETS
Author(s) -
Jian-Zhen Chen,
Junfa Zhu
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.1340
Subject(s) - sierpinski triangle , decimation , critical exponent , exponent , physics , renormalization group , gaussian , statistical physics , fractal , mathematical physics , condensed matter physics , phase transition , quantum mechanics , mathematics , mathematical analysis , computer science , linguistics , philosophy , filter (signal processing) , computer vision
Based on the single-spin transition critical dynamics, we investigate the critical slowing down of the Gaussian spin model on dilational symmetric Sierpinski gaskets. We calculate the dynamical critical exponent z using the dynamical decimation renormalization-group technique in the assumption of the magnetic-lile perturbation, and found that the dynamical critical exponent z of the system is only related to the static length-correlation exponent ν, but is foreign to the fractal dimenionality Df. The result of the universal conclusion z=1/ν has been verified again in this paper.