A comment on the relation between diffraction and entropy

Abstract

Diffraction methods are used to detect atomic order in solids. While uniquely ergodic systems with pure point diffraction have zero entropy, the relation between diffraction and entropy is not as straightforward in general. In particular, there exist families of homometric systems, which are systems sharing the same diffraction, with varying entropy. We summarise the present state of understanding by several characteristic examples.

7 pages

References in corpus (5)

• Can Kinematic Diffraction Distinguish Order from Disorder?
• Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies
• The singular continuous diffraction measure of the Thue-Morse chain
• Close-packed dimers on the line: diffraction versus dynamical spectrum
• Diffraction and Palm measure of point processes