Zero temperature landscape of the random sine-Gordon model

Angel Sánchez, A. R. Bishop, David Cai, Niels Grønbech-Jensen, Francisco Domínguez-Adame

Research output: Contribution to journalArticlepeer-review


We present a preliminary summary of the zero temperature properties of the two-dimensional random sine-Gordon model of surface growth on disordered substrates. We found that the properties of this model can be accurately computed by using lattices of moderate size as the behavior of the model turns out to be independent of the size above certain length (≈ 128 × 128 lattices). Subsequently, we show that the behavior of the height difference correlation function is of (log r)2 type up to a certain correlation length (ξ ≈ 20), which rules out predictions of log r behavior for all temperatures obtained by replica-variational techniques. Our results open the way to a better understanding of the complex landscape presented by this system, which has been the subject of very many (contradictory) analyses.

Original languageEnglish (US)
Pages (from-to)326-329
Number of pages4
JournalPhysica D: Nonlinear Phenomena
Issue number2-4
StatePublished - 1997


  • Disordered sine-Gordon
  • Growth models
  • Langevin dynamics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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