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

A. Pagnani; E. Marinari; G. Parisi

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

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arxiv cond-mat/0005105 v3 pith:SFZHDW5A submitted 2000-05-05 cond-mat.stat-mech cond-mat.dis-nn

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

E. Marinari , A. Pagnani , G. Parisi This is my paper

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keywords criticalcodingequationexponentsmulti-surfacenumericalpreciselysimulations

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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.

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

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