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Analytic solutions of the two-dimensional Kardar-Parisi-Zhang growing equation

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1
Imre Ferenc Barna
  • Fonction : Auteur
Gabriella Bognár
  • Fonction : Auteur
László Mátyás
  • Fonction : Auteur
Krisztián Hriczó
  • Fonction : Auteur

Résumé

The two-dimensional Kardar-Parisi-Zhang dynamic interface growth equation is analyzed in Cartesian coordinates with different kind of trial-functions. We show that the one-dimensional self-smilar Ansatz can be generalized for multi space dimensions is numerous ways leading to fine differences between the obtained results. The role of the noise term is discussed as well. © 2020 American Institute of Physics Inc.. All rights reserved.
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Dates et versions

hal-03691008 , version 1 (08-06-2022)

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Citer

Imre Ferenc Barna, Gabriella Bognár, László Mátyás, Mohamed Guedda, Krisztián Hriczó. Analytic solutions of the two-dimensional Kardar-Parisi-Zhang growing equation. INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019, Sep 2019, Rhodes, Greece. pp.280002, ⟨10.1063/5.0027197⟩. ⟨hal-03691008⟩
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