68 citations · 187 across the 9 of their papers we have counts for
9 papers
Pattern dark matter and galaxy scaling relations
Shankar C. Venkataramani, Alan C. Newell
We argue that a natural explanation for a variety of robust galaxy scaling relations comes from the perspective of pattern formation and self-organization as a result of symmetry b…
Computing with non-orientable defects: nematics, smectics and natural patterns
Chiqun Zhang, Amit Acharya, Alan C. Newell +1
Defects are a ubiquitous feature of ordered media. They have certain universal features, independent of the underlying physical system, reflecting their topological origins. While…
Disk galaxies and their dark halos as self-organized patterns
Shankar C. Venkataramani, Alan C. Newell
Galaxies are built by complex physical processes with significant inherent stochasticity. It is therefore surprising that the inferred dark matter distributions in galaxies are str…
Pattern Universes
Alan C. Newell, Shankar C. Venkataramani
In this essay we explore analogies between macroscopic patterns, which result from a sequence of phase transitions/instabilities starting from a homogeneous state, and similar phen…
Phyllotaxis, Pushed Pattern-Forming Fronts and Optimal Packing
Matthew Pennybacker, Alan C. Newell
We demonstrate that the pattern forming partial differential equation derived from the auxin distribution model proposed by Meyerowitz, Traas and others gives rise to all spiral ph…
Dynamical Scaling and the Finite Capacity Anomaly in 3-Wave Turbulence
Colm Connaughton, Alan C. Newell
We present a systematic study of the dynamical scaling process leading to the establishment of the Kolmogorov--Zakharov (KZ) spectrum in weak 3-wave turbulence. In the finite capac…
Localization and Coherence in Nonintegrable Systems
Benno Rumpf, Alan C. Newell
We study the irreversible dynamics of nonlinear, nonintegrable Hamiltonian oscillator chains approaching their statistical asympotic states. In systems constrained by more than one…
Dimensional Analysis and Weak Turbulence
Colm Connaughton, Sergey Nazarenko, Alan C. Newell
In the study of weakly turbulent wave systems possessing incomplete self-similarity it is possible to use dimensional arguments to derive the scaling exponents of the Kolmogorov-Za…
Semiconductor Lasers and Kolmogorov Spectra
Yuri V. Lvov, Alan C. Newell
In this article, we make a prima facie case that there could be distinct advantages to exploiting a new class of finite flux equilibrium solutions of the Quantum Boltzmann equation…