Small-scale properties of a stochastic cubic-autocatalytic reaction-diffusion model

Autor:	Gagnon, Jean-Sebastien, Hochberg, David, Perez-Mercader, Juan
Rok vydání:	2015
Předmět:	Condensed Matter - Statistical Mechanics Nonlinear Sciences - Pattern Formation and Solitons
Zdroj:	Phys.Rev.E92:042114,2015
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.92.042114
Popis:	We investigate the small-scale properties of a stochastic cubic-autocatalytic reaction-diffusion (CARD) model using renormalization techniques. We renormalize noise-induced ultraviolet divergences and obtain beta functions for the decay rate and coupling at one-loop. Assuming colored (power law) noise, our results show that the behavior of both decay rate and coupling with scale depends crucially on the noise exponent. Interpreting the CARD model as a proxy for a (very simple) living system, our results suggest that power law correlations in environmental fluctuations can both decrease or increase the growth of structures at smaller scales. Comment: 14 pages, 12 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1510.00283 Zobrazit plný text záznamu View this record from Arxiv