A Real Space Renormalization Group Approach to Field Evolution Equations
Statistical Mechanics
2009-11-07 v2
Abstract
A new operator formalism for the reduction of degrees of freedom in the evolution of discrete partial differential equations (PDE) via real space Renormalization Group is introduced, in which cell-overlapping is the key concept. Applications to 1+1-dimensional PDEs are presented for linear and quadratic equations which are first order in time.
Cite
@article{arxiv.cond-mat/0106155,
title = {A Real Space Renormalization Group Approach to Field Evolution Equations},
author = {Andreas Degenhard and Javier Rodriguez-Laguna},
journal= {arXiv preprint arXiv:cond-mat/0106155},
year = {2009}
}
Comments
8 pages, 10 ps figures. Accepted for publication in Phys. Rev. E