Domain formation in transitions with noise and time-dependent bifurcation parameter
adap-org
2009-10-30 v1 Condensed Matter
Adaptation and Self-Organizing Systems
Pattern Formation and Solitons
patt-sol
Abstract
The characteristic size for spatial structure, that emerges when the bifurcation parameter in model partial differential equations is slowly increased through its critical value, depends logarithmically on the size of added noise. Numerics and analysis are presented for the real Ginzburg-Landau and Swift-Hohenberg equations.
Cite
@article{arxiv.adap-org/9706006,
title = {Domain formation in transitions with noise and time-dependent bifurcation parameter},
author = {G. D. Lythe},
journal= {arXiv preprint arXiv:adap-org/9706006},
year = {2009}
}
Comments
RevTex, 4 pages, 4 postscript figures included