Roughening in random sine-Gordon systems

Moshe Schwartz and Thomas Nattermann

Physica A: Statistical Mechanics and its Applications, 1991, vol. 178, issue 1, 1-5

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.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:178:y:1991:i:1:p:1-5

DOI: 10.1016/0378-4371(91)90070-S

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