(1) Department of Physics, The Institute of Cancer Research, Downs Road, Sutton, Surrey, SM2 5PT, United Kingdom;(2) Instituto de Matemáticas y Física Fundamental, CSIC, C/ Serrano 123, Madrid, 28006, Spain
Abstract:
We investigate an operator renormalization group method to extract and describe the relevant degrees of freedom in the evolution of partial differential equations. The proposed renormalization group approach is formulated as an analytical method providing the fundamental concepts of a numerical algorithm applicable to various dynamical systems. We examine dynamical scaling characteristics in the short-time and the long-time evolution regime providing only a reduced number of degrees of freedom to the evolution process.