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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.
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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 |
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| Journal or Publication Title: | PHYSICA D | ||||
| Publisher: | ELSEVIER SCIENCE BV | ||||
| ISSN: | 0167-2789 | ||||
| Official Date: | May 1991 | ||||
| Dates: |
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| Volume: | 50 | ||||
| Number: | 1 | ||||
| Number of Pages: | 9 | ||||
| Page Range: | pp. 71-79 | ||||
| Publication Status: | Published |
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