scholarly journals Lack of Plasma-like Screening Mechanism in Sedimentation of a Non-Brownian Suspension

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 63
Author(s):  
Paweł Sznajder ◽  
Bogdan Cichocki ◽  
Maria Ekiel-Jeżewska
Keyword(s):  
Long Range ◽  
Stationary State ◽  
Liouville Equation ◽  
Correlation Functions ◽  
Bbgky Hierarchy ◽  
Uniform Structure ◽  
Translational Symmetry ◽  
Velocity Fluctuations

We investigate qualitatively a uniform non-Brownian sedimenting suspension in a stationary state. As a base of our analysis we take the BBGKY hierarchy derived from the Liouville equation. We then show that assumption of the plasma-like screening relations can cancel some long-range terms in the hierarchy but it does not provide integrable solutions for correlation functions. This suggests breaking the translational symmetry of the system. Therefore a non-uniform structure can develop to suppress velocity fluctuations and make the range of correlations finite.

Correlation functions of temperature and velocity fluctuations in a turbulent atmosphere

2006 ◽  
Vol 119 (5) ◽  
pp. 3264-3264
Author(s):  
Vladimir E. Ostashev ◽  
Sergey N. Vecherin ◽  
D. Keith Wilson ◽  
Sandra L. Collier
Keyword(s):  
Correlation Functions ◽  
Turbulent Atmosphere ◽  
Velocity Fluctuations

Quasicrystal-related mosaics with periodic lattices interlaid with aperiodic tiles

2020 ◽  
Vol 76 (2) ◽  
pp. 137-144
Author(s):  
Zhanbing He ◽  
Yihan Shen ◽  
Haikun Ma ◽  
Junliang Sun ◽  
Xiuliang Ma ◽  
...  
Keyword(s):  
Solid State ◽  
Long Range ◽  
Orientational Order ◽  
Translational Symmetry ◽  
Repeated Unit ◽  
Unit Cells ◽  
Potential Applications ◽  
New Type ◽  
Structural Blocks

Quasicrystals, which have long-range orientational order without translational symmetry, are incompatible with the theory of conventional crystals, which are characterized by periodic lattices and uniformly repeated unit cells. Reported here is a novel quasicrystal-related solid state observed in two Al–Cr–Fe–Si alloys, which can be described as a mosaic of aperiodically distributed unit tiles in translationally periodic structural blocks. This new type of material possesses the opposing features of both conventional crystals and quasicrystals, which might trigger wide interest in theory, experiments and the potential applications of this type of material.

Power-law correlations and other models with long-range dependence on a lattice

2003 ◽  
Vol 40 (3) ◽  
pp. 690-703 ◽  
Author(s):  
Chunsheng Ma
Keyword(s):  
Long Range ◽  
Power Law ◽  
Correlation Functions ◽  
Short Range ◽  
Long Range Dependence ◽  
Correlation Model ◽  
Double Sequences ◽  
Exact Power ◽  
Stationary Random Field ◽  
Dependent Correlation

This paper introduces long-range dependence for a stationary random field on a plane lattice, derives an exact power-law correlation model and other models with long-range dependence on the lattice, and explores the close connection between short-range dependent correlation functions and absolutely summable double sequences.

scholarly journals Metallic Phase with Long-Range Orientational Order and No Translational Symmetry

1984 ◽  
Vol 53 (20) ◽  
pp. 1951-1953 ◽  
Author(s):  
D. Shechtman ◽  
I. Blech ◽  
D. Gratias ◽  
J. W. Cahn
Keyword(s):  
Long Range ◽  
Orientational Order ◽  
Metallic Phase ◽  
Translational Symmetry

scholarly journals Velocity statistics inside coherent vortices generated by the inverse cascade of 2-D turbulence

2016 ◽  
Vol 809 ◽  
Author(s):  
I. V. Kolokolov ◽  
V. V. Lebedev
Keyword(s):  
Velocity Profile ◽  
Structure Function ◽  
Correlation Functions ◽  
Two Dimensional ◽  
Strong Anisotropy ◽  
Velocity Fluctuations ◽  
Inverse Cascade ◽  
Velocity Statistics ◽  
Flow Fluctuations ◽  
Coherent Vortices

We analyse velocity fluctuations inside coherent vortices generated as a result of the inverse cascade in the two-dimensional (2-D) turbulence in a finite box. As we demonstrated in Kolokolov & Lebedev (Phys. Rev. E, vol. 93, 2016, 033104), the universal velocity profile, established in Laurie et al. (Phys. Rev. Lett., vol. 113, 2014, 254503), corresponds to the passive regime of the flow fluctuations. This property enables one to calculate correlation functions of the velocity fluctuations in the universal region. We present the results of the calculations that demonstrate a non-trivial scaling of the structure function. In addition the calculations reveal strong anisotropy of the structure function.

Quasi-stationary-state duration in the classical d -dimensional long-range inertial XY ferromagnet

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
Antonio Rodríguez ◽  
Fernando D. Nobre ◽  
Constantino Tsallis
Keyword(s):  
Long Range ◽  
Stationary State ◽  
State Duration ◽  
Quasi Stationary State

Power-law correlations and other models with long-range dependence on a lattice

2003 ◽  
Vol 40 (03) ◽  
pp. 690-703 ◽  
Author(s):  
Chunsheng Ma
Keyword(s):  
Long Range ◽  
Power Law ◽  
Correlation Functions ◽  
Short Range ◽  
Long Range Dependence ◽  
Correlation Model ◽  
Double Sequences ◽  
Exact Power ◽  
Stationary Random Field ◽  
Dependent Correlation

This paper introduces long-range dependence for a stationary random field on a plane lattice, derives an exact power-law correlation model and other models with long-range dependence on the lattice, and explores the close connection between short-range dependent correlation functions and absolutely summable double sequences.

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