Critical exponents of the KPZ equation via multi-surface coding numerical simulations

We study the KPZ equation (in D = 2, 3 and 4 spatial dimensions) by using a restricted solid-on-solid discretization of the surface. We measure the critical exponents very precisely, and we show that the rational guess is not appropriate, and that D = 4 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 unity in all cases. We introduce and use a multi-surface coding technique, that allows a gain of the order of 30-fold over usual numerical simulations.

• Publication year

  2000

• Venue

  Journal of Physics A

• Publication date

  2000-05-05

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1088/0305-4470/33/46/303arXiv cond-mat/0005105
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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