Systems with Multiplicative Noise: Critical Behavior from KPZ Equation and Numerics
adap-org
2016-08-16 v1 Condensed Matter
Adaptation and Self-Organizing Systems
Abstract
We show that certain critical exponents of systems with multiplicative noise can be obtained from exponents of the KPZ equation. Numerical simulations in 1d confirm this prediction, and yield other exponents of the multiplicative noise problem. The numerics also verify an earlier prediction of the divergence of the susceptibility over an entire range of control parameter values, and show that the exponent governing the divergence in this range varies continuously with control parameter.
Cite
@article{arxiv.adap-org/9608002,
title = {Systems with Multiplicative Noise: Critical Behavior from KPZ Equation and Numerics},
author = {Yuhai Tu and G. Grinstein and M. A. Muñoz},
journal= {arXiv preprint arXiv:adap-org/9608002},
year = {2016}
}
Comments
Four pages (In Revtex format) with 4 figures (in Postcript)