How should one define a (weak) crystal?
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Publication:1203340
DOI10.1007/BF01055722zbMath0943.82584OpenAlexW2041024648MaRDI QIDQ1203340
Aernout C. D. van Enter, Jacek Miekisz
Publication date: 27 October 1993
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01055722
periodic structuresFourier spectrumpositional long range orderspectrum of translation operatorThue-Morse system
Related Items (18)
Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks ⋮ On diffraction by aperiodic structures ⋮ Dynamical versus diffraction spectrum for structures with finite local complexity ⋮ Renormalization, thermodynamic formalism and quasi-crystals in subshifts ⋮ Typical ground states for large sets of interactions ⋮ Spectral theory of dynamical systems as diffraction theory of sampling functions ⋮ Concentration inequalities for functions of Gibbs fields with application to diffraction and random Gibbs measures ⋮ Stationary processes and pure point diffraction ⋮ An ultrametric state space with a dense discrete overlap distribution: paperfolding sequences ⋮ Spectral notions of aperiodic order ⋮ Absence of singular continuous diffraction for discrete multi-component particle models ⋮ Dworkin's argument revisited: Point processes, dynamics, diffraction, and correlations ⋮ Close-packed dimers on the line: diffraction versus dynamical spectrum ⋮ Diffraction of stochastic point sets: Explicitly computable examples ⋮ Planar dynamical systems with pure Lebesgue diffraction spectrum ⋮ Pure point spectrum for measure dynamical systems on locally compact Abelian groups ⋮ Sturmian ground states in classical lattice-gas models ⋮ Spectral and topological properties of a family of generalised Thue-Morse sequences
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- Breaking of Euclidean Symmetry with an Application to the Theory of Crystallization
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