J. Phys. Colloques
Volume 47, Number C3, Juillet 1986International Workshop on Aperiodic Crystals
|Page(s)||C3-251 - C3-258|
J. Phys. Colloques 47 (1986) C3-251-C3-258
STUDIES ON QUASILATTICES : MISTAKES AND LONG RANGE CORRELATION IN ONE DIMENSIONJ.P. LU et J.L. BIRMAN
Physics Department, City College of the City University of New York, NY 10031, U.S.A.
Mistakes in one dimensional quasilattices are studied. The effect of mistakes on the diffraction intensity is calculated exactly : we show that the diffraction pattern is changed qualitatively. Detailed calculations of Fourier transform and configuration average are given. Also the density-density correlation for both perfect and imperfect quasilattices have been studied. We show explicitly that quasilattices are infinitely correlated, and that introducing mistakes does not break this correlation. Mistakes are shown to be generic for the quasilattice : they cost little energy, and increase the entropy.