Open AccessADSORPTION OF A SELF-AVOIDING WALK ON FRACTAL SPACES
Author(s) -
Tang Kun-Fa,
Hu Jia-Zhen
Publication year - 1988
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.37.1014
Subject(s) - fractal , exponent , euclidean space , space (punctuation) , euclidean geometry , conjecture , self avoiding walk , critical exponent , phase diagram , crossover , infinitesimal , statistical physics , physics , random walk , phase transition , mathematics , pure mathematics , mathematical analysis , phase (matter) , condensed matter physics , geometry , quantum mechanics , computer science , philosophy , linguistics , statistics , artificial intelligence , operating system
An exact real space renormalisation group is applied to study the adsorption of a single self-avoiding walk on fractal spaces. Exact results of critical exponent ν and crossover exponent φ show that de Gennes' conjecture φ =1-ν is invalid. The phase diagram has qualitatively the same shape as it has on Euclidean space, except for a unique and important difference that the adsorption transition would take place for a single polymer chain at a hard wail exerting a infinitesimal short-range attractive force on the fractal space instead of a finite one as on Euclidean space.