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

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

1996-08-13

arxiv.org/abs/adap-org/9608002v1

Physics

Condensed Matter

Four pages (In Revtex format) with 4 figures (in Postcript)

Scientific paper

10.1103/PhysRevLett.78.274

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.

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