DYNAMICALLY DRIVEN RENORMALIZATION-GROUP

Citation
A. Vespignani et al., DYNAMICALLY DRIVEN RENORMALIZATION-GROUP, Journal of statistical physics, 88(1-2), 1997, pp. 47-79
Citations number
57
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
88
Issue
1-2
Year of publication
1997
Pages
47 - 79
Database
ISI
SICI code
0022-4715(1997)88:1-2<47:DDR>2.0.ZU;2-2
Abstract
We present a detailed discussion of a novel dynamical renormalization group scheme: the dynamically driven renormalization group (DDRG). Thi s is a general renormalization method developed for dynamical systems with nonequilibrium critical steady state. The method is based on a re al-space renormalization scheme driven by a dynamical steady-state con dition which acts as a feedback on the transformation equations. This approach has been applied to open nonlinear systems such as self-organ ized critical phenomena, and it allows the analytical evaluation of sc aling dimensions and critical exponents. Equilibrium models at the cri tical point can also be considered. The explicit application to some m odels and the corresponding results are discussed.