Scaling of Local Slopes, Conservation Laws, and Anomalous Roughening in Surface Growth

Juan M. López, Mario Castro, and Rafael Gallego
Phys. Rev. Lett. 94, 166103 – Published 27 April 2005

Abstract

We argue that symmetries and conservation laws greatly restrict the form of the terms entering the long wavelength description of growth models exhibiting anomalous roughening. This is exploited to show by dynamic renormalization group arguments that intrinsic anomalous roughening cannot occur in local growth models. However, some conserved dynamics may display superroughening if a given type of term is present.

  • Received 1 July 2004

DOI:https://doi.org/10.1103/PhysRevLett.94.166103

©2005 American Physical Society

Authors & Affiliations

Juan M. López1,*, Mario Castro2, and Rafael Gallego3

  • 1Instituto de Física de Cantabria (IFCA), CSIC-UC, E-39005 Santander, Spain
  • 2Grupo Interdisciplinar de Sistemas Complejos (GISC) and Grupo de Dińamica No Lineal (DNL), Escuela Técnica Superior de Ingeniería (ICAI), Universidad Pontificia Comillas, E-28015 Madrid, Spain
  • 3Departamento de Matemáticas, Universidad de Oviedo, Campus de Viesques, E-33203 Gijón, Spain

  • *Electronic address: lopez@ifca.unican.es

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Issue

Vol. 94, Iss. 16 — 29 April 2005

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