Jump kinetics on the Fibonacci quasilattice. Exactly solvable model of the layer growth and dislocation kinetics in quasicrystals

Autor:	M. A. Fradkin
Rok vydání:	1999
Předmět:	Condensed Matter::Materials Science Fibonacci number Materials science Exact solutions in general relativity Physics and Astronomy (miscellaneous) Condensed matter physics Logarithm Quasiperiodic function Jump Quasicrystal Dislocation Supercooling
Zdroj:	Journal of Experimental and Theoretical Physics Letters. 69:570-576
ISSN:	1090-6487 0021-3640
DOI:	10.1134/1.567962
Popis:	The jump kinetics on a quasiperiodic pinning potential is analyzed under small external force in a 1D Fibonacci quasilattice model. The model describes planar (layer) growth of stable quasicrystals from the melt and is also relevant to the movement of quasicrystal dislocations under small stress. An exact solution is found for the spectrum of jump length as function of the driving force. The solution describes the supercooling dependence of the spectrum of nucleus heights on the growing surface of a quasicrystal. The spectrum appears to be universal and its shape has a periodic dependence on the logarithm of the supercooling. The resulting quasicrystal growth kinetics agrees well with that found in computer simulations and in the analysis of continuous thermodynamic models.
Databáze:	OpenAIRE
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