Table of Contents
Conference Papers in Mathematics
Volume 2013 (2013), Article ID 684643, 8 pages
http://dx.doi.org/10.1155/2013/684643
Conference Paper

Applied Quantum Field Theory to General Diffusion-Reaction Phenomena

1ENSAM, Moulay Ismail University, P.O. Box 25290, Al Mansour, Meknes 50000, Morocco
2Polymer Physics and Critical Phenomena Laboratory, Sciences Faculty Ben M'sik, P.O. Box 7955, Casablanca 20000, Morocco

Received 28 March 2013; Accepted 22 May 2013

Academic Editors: B. N. Datta, G. S. F. Frederico, N. Martins, D. F. M. Torres, and A. J. Zaslavski

This Conference Paper is based on a presentation given by Mabrouk Benhamou at “The Cape Verde International Days on Mathematics 2013” held from 22 April 2013 to 25 April 2013 in Praia, Cape Verde.

Copyright © 2013 Mabrouk Benhamou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Diffusion-reaction phenomena are generally described by parabolic differential equations (PDEs), and I am interested in those possessing solutions that fail at large time. A sophisticated method to study the large-time behavior is the Renormalization Group usually encountered in Particles-Physics and Critical Phenomena. In this paper, I review the application of such an approach. In particular, attention is paid to Quantum Field Theory techniques used for the extraction of the asymptotic solutions to PDEs. Finally, I extend discussion to the fractional-time PDEs and with noise.