Systems with Multiplicative Noise: Critical Behavior from KPZ Equation and Numerics

Preprint

13 August 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.adap-org/9608002

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.

Keywords

NUMERICAL SIMULATIONS
MULTIPLICATIVE NOISE
EARLIER PREDICTION
CRITICAL BEHAVIOR
KPZ EQUATION
EXPONENTS
NOISE

All Related Versions

Version 1, 1996-08-13, ArXiv
Published version: Physical Review Letters, 78 (2), 274.

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