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Do turbulent crystals exist
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In this paper, the authors discuss the possibility that, besides periodic and quasiperiodic crystals, there exist turbulent crystals as thermodynamic equilibrium states at non-zero temperature, which would not be invariant under translation, but would differ from other crystals by the fuzziness of some diffraction peaks.Abstract:
We discuss the possibility that, besides periodic and quasiperiodic crystals, there exist turbulent crystals as thermodynamic equilibrium states at non-zero temperature. Turbulent crystals would not be invariant under translation, but would differ from other crystals by the fuzziness of some diffraction peaks. Turbulent crystals could appear by breakdown of long range order in quasiperiodic crystals with two independent modulations.read more
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Between order and chaos
TL;DR: A completely ordered universe is as unexciting as an entirely disordered one as mentioned in this paper, and interesting "complex" phenomena arise in a middle ground between order and chaos, and tools have been developed to quantify structural complexity and to automatically discover patterns hidden between the two.
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Density-functional theory of freezing and properties of the ordered phase
TL;DR: In this article, the authors review a theory of freezing based on the density-functional approach and compare a variety of its versions, and discuss the application of the theory to the freezing of various simple and complex fluids.
Journal ArticleDOI
Deterministic aperiodic nanostructures for photonics and plasmonics applications
TL;DR: In this article, the authors provide a detailed review of the conceptual foundation and physical mechanisms governing the complex optical response of deterministic aperiodic nano structures in relation to the engineering of novel devices and functionalities, mainly focusing on passive and active planar structures with enhanced light-matter coupling for photonics and plasmonics technologies.
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Classical disordered ground states: Super-ideal gases and stealth and equi-luminous materials
TL;DR: In this paper, a collective coordinate numerical optimization procedure is used to construct ground-state configurations of interacting particle systems in various space dimensions so that the scattering of radiation exactly matches a prescribed pattern for a set of wave vectors.
Book
Miles of tiles
TL;DR: Ergodic theory physics (for mathematicians) Order Symmetry Conclusion Appendix I: Geometry Appendix II: Algebra Appendix III: Analysis References List of symbols Subject Index.
References
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Journal ArticleDOI
Deterministic nonperiodic flow
TL;DR: In this paper, it was shown that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states, and systems with bounded solutions are shown to possess bounded numerical solutions.
Journal ArticleDOI
Quantitative universality for a class of nonlinear transformations
TL;DR: In this article, a large class of recursion relations xn+l = Af(xn) exhibiting infinite bifurcation is shown to possess a rich quantitative structure essentially independent of the recursion function.
Journal ArticleDOI
On the nature of turbulence
David Ruelle,Floris Takens +1 more
TL;DR: A mechanism for the generation of turbulence and related phenomena in dissipative systems is proposed in this article, where the authors propose a mechanism for generating turbulence in a dissipative system with respect to dissipative energy.
Journal ArticleDOI
Intermittent transition to turbulence in dissipative dynamical systems
Yves Pomeau,Paul Manneville +1 more
TL;DR: In this article, simple dissipative dynamical systems exhibiting a transition from a stable periodic behavior to a chaotic one were studied, where the inverse coherence time grows continuously from zero to zero due to the random occurrence of widely separated bursts in the time record.
Journal ArticleDOI
The universal metric properties of nonlinear transformations
TL;DR: In this paper, the role of functional equations to describe the exact local structure of highly bifurcated attractors is formally developed, and a hierarchy of universal functions, each descriptive of the same local structure but at levels of a cluster of 2>>\s points, is presented.
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