STUDIES ON QUASILATTICES : MISTAKES AND LONG RANGE CORRELATION IN ONE DIMENSION

J. P. LU, J. L. BIRMAN
1986 Le Journal de Physique Colloques  
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
more » ... . Mistakes are shown to be generic for the quasilattice: they cost little energy, and increase the entropy. Article published online by EDP Sciences and available at http://dx.
doi:10.1051/jphyscol:1986327 fatcat:we75u6v5rre3ffftrldzbkzegu