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SCALING EXPONENTS AT THE TRANSITION BY BREAKING OF ANALYTICITY FOR INCOMMENSURATE STRUCTURES
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UNSPECIFIED (1991) SCALING EXPONENTS AT THE TRANSITION BY BREAKING OF ANALYTICITY FOR INCOMMENSURATE STRUCTURES. PHYSICA D, 50 (1). pp. 71-79. ISSN 0167-2789
Full text not available from this repository.Abstract
A wide class of solid-state models support incommensurate structures. They are mostly given by either an analytic function in which case they are free to slide, or a discontinuous function in which case there is a non-zero minimum force required for depinning and a non-zero minimum phonon frequency. I propose that the boundary between these two types of state is given at least in part by the stable manifold of a fixed point of a renormalisation operator. This permits one to predict scaling laws for the depinning force, phonon gap, elasticity, effective mass and other quantities.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Journal or Publication Title: | PHYSICA D |
| Publisher: | ELSEVIER SCIENCE BV |
| ISSN: | 0167-2789 |
| Date: | May 1991 |
| Volume: | 50 |
| Number: | 1 |
| Number of Pages: | 9 |
| Page Range: | pp. 71-79 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/22656 |
Data sourced from Thomson Reuters' Web of Knowledge
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