Open AccessDYNAMIC SCALING OF THE NONLOCAL LAI-DAS SARMA-VILLAIN EQUATION
Author(s) -
Tang Gang,
Ma Ben-Kun
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.50.851
Subject(s) - scaling , physics , renormalization group , coupling (piping) , critical dimension , nonlinear system , statistical physics , renormalization , dimension (graph theory) , widom scaling , dynamic scaling , critical exponent , mathematical physics , condensed matter physics , mathematics , quantum mechanics , materials science , pure mathematics , geometry , metallurgy
The scaling properties of the nonlocal Lai-Das Sarma-Villain equation are studied by using dynamic renormalization-group(DRG) analysis and scaling approach,respectively.The DRG analysis shows that the nonlocal nature of the nonlinear term can produce new fixed points with continuously varying exponents, depending on both the nonlocal interaction parameter ρ and the substrate dimension d.The scaling exponents in both weak- and strong-coupling regions are obtained by scaling approach.The exponents obtained in the weak-coupling region well match the results of the DRG analysis.