A comment on the relation between diffraction and entropy
arXiv:1205.0392 · doi:10.3390/e14050856
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 (11)
- Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra
- Can Kinematic Diffraction Distinguish Order from Disorder?
- Kinematic Diffraction from a Mathematical Viewpoint
- Spectral and topological properties of a family of generalised Thue-Morse sequences
- Diffraction of stochastic point sets: Explicitly computable examples
- Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies
- Diffractive point sets with entropy
- The singular continuous diffraction measure of the Thue-Morse chain
- Planar dynamical systems with pure Lebesgue diffraction spectrum
- Close-packed dimers on the line: diffraction versus dynamical spectrum
- Diffraction and Palm measure of point processes