SCALING EXPONENTS AT THE TRANSITION BY BREAKING OF ANALYTICITY FOR INCOMMENSURATE STRUCTURES
UNSPECIFIED. (1991) SCALING EXPONENTS AT THE TRANSITION BY BREAKING OF ANALYTICITY FOR INCOMMENSURATE STRUCTURES. PHYSICA D, 50 (1). pp. 71-79. ISSN 0167-2789Full text not available from this repository.
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|
|Official Date:||May 1991|
|Number of Pages:||9|
|Page Range:||pp. 71-79|
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