Critical Exponents of the KPZ Equation via Multi-Surface Coding Numerical Simulations

Details Critical Exponents of the KPZ Equation via Multi-Surface Coding Numerical Simulations Critical Exponents of the KPZ Equation via Multi-Surface Coding Numerical Simulations

2000-05-05

arxiv.org/abs/cond-mat/0005105v3

J. Phys. A: Math. Gen. 33 (2000) 8181

Physics

Condensed Matter

Statistical Mechanics

10 pages, 8 eps figures (2 figures added). Published version

Scientific paper

10.1088/0305-4470/33/46/303

We study the KPZ equation (in D = 2, 3 and 4 spatial dimensions) by using a RSOS discretization of the surface. We measure the critical exponents very precisely, and we show that the rational guess is not appropriate, and that 4D is not the upper critical dimension. We are also able to determine very precisely the exponent of the sub-leading scaling corrections, that turns out to be close to 1 in all cases. We introduce and use a {\em multi-surface coding} technique, that allow a gain of order 30 over usual numerical simulations.

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