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 journalArticle

Abstract

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
Volume107
Issue number2-4
StatePublished - 1997

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Zero
Variational techniques
Surface Growth
Correlation Length
Replica
replicas
Temperature
temperature
Correlation Function
Substrate
Model
Prediction
Substrates
predictions

Keywords

  • Disordered sine-Gordon
  • Growth models
  • Langevin dynamics

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Sánchez, A., Bishop, A. R., Cai, D., Grønbech-Jensen, N., & Domínguez-Adame, F. (1997). Zero temperature landscape of the random sine-Gordon model. Physica D: Nonlinear Phenomena, 107(2-4), 326-329.

Zero temperature landscape of the random sine-Gordon model. / Sánchez, Angel; Bishop, A. R.; Cai, David; Grønbech-Jensen, Niels; Domínguez-Adame, Francisco.

In: Physica D: Nonlinear Phenomena, Vol. 107, No. 2-4, 1997, p. 326-329.

Research output: Contribution to journalArticle

Sánchez, A, Bishop, AR, Cai, D, Grønbech-Jensen, N & Domínguez-Adame, F 1997, 'Zero temperature landscape of the random sine-Gordon model', Physica D: Nonlinear Phenomena, vol. 107, no. 2-4, pp. 326-329.
Sánchez A, Bishop AR, Cai D, Grønbech-Jensen N, Domínguez-Adame F. Zero temperature landscape of the random sine-Gordon model. Physica D: Nonlinear Phenomena. 1997;107(2-4):326-329.
Sánchez, Angel ; Bishop, A. R. ; Cai, David ; Grønbech-Jensen, Niels ; Domínguez-Adame, Francisco. / Zero temperature landscape of the random sine-Gordon model. In: Physica D: Nonlinear Phenomena. 1997 ; Vol. 107, No. 2-4. pp. 326-329.
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