Roughening in random sine-Gordon systems

Moshe Schwartz, Thomas Nattermann

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the spatial correlations of the optimal solutions of the random sine-Gordon equation as an example of the usefulness of a very simple ansatz relating the Fourier transforms of certain functions of the field ∅ to the Fourier transform of the random fields. The dramatic change in the correlations when going from above to below two dimensions is directly attributed to the transfer from dominance of long range fluctuations of the randomness to the dominance of short range fluctuations.

Original languageEnglish
Pages (from-to)1-5
Number of pages5
JournalPhysica A: Statistical Mechanics and its Applications
Volume178
Issue number1
DOIs
StatePublished - 1 Oct 1991

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