2005
DOI: 10.1103/physreve.71.066214
|View full text |Cite
|
Sign up to set email alerts
|

Complex-ordered patterns in shaken convection

Abstract: We report and analyze complex patterns observed in a combination of two standard pattern forming experiments. These exotic states are composed of two distinct spatial scales, each displaying a different temporal dependence. The system is a fluid layer experiencing forcing from both a vertical temperature difference and vertical time-periodic oscillations. Depending on the parameters these forcing mechanisms produce fluid motion with either a harmonic or a subharmonic temporal response. Over a parameter range w… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

1
36
0
1

Year Published

2009
2009
2018
2018

Publication Types

Select...
9

Relationship

0
9

Authors

Journals

citations
Cited by 36 publications
(38 citation statements)
references
References 51 publications
1
36
0
1
Order By: Relevance
“…In spite of this, the spatial Fourier transforms of quasipatterns have 8, 10 or 12-fold rotational order. Quasipatterns are of course related to quasicrystals [53], and quasipatterns have been found in nonlinear optical systems [29], in shaken convection [50,64] and in liquid crystals [36] as well as the Faraday wave experiment [2, 5-7, 19, 33]. There is, as yet, no satisfactory theoretical understanding of the formation of quasipatterns owing to the problem of small divisors [51].…”
mentioning
confidence: 99%
“…In spite of this, the spatial Fourier transforms of quasipatterns have 8, 10 or 12-fold rotational order. Quasipatterns are of course related to quasicrystals [53], and quasipatterns have been found in nonlinear optical systems [29], in shaken convection [50,64] and in liquid crystals [36] as well as the Faraday wave experiment [2, 5-7, 19, 33]. There is, as yet, no satisfactory theoretical understanding of the formation of quasipatterns owing to the problem of small divisors [51].…”
mentioning
confidence: 99%
“…In some systems, modes with a second wavelength can play an important role in pattern formation if these modes are either unstable or only weakly damped. The interaction between two waves of one wavelength with a third wave of the other wavelength is known both experimentally and theoretically to play a key role in producing a rich variety of interesting phenomena such as quasipatterns, superlattice patterns and spatio-temporal chaos (STC) [1][2][3][4][5][6][7][8].…”
mentioning
confidence: 99%
“…In some systems, modes with a second wavelength can play an important role in pattern formation if these modes are either unstable or only weakly damped. The interaction between two waves of one wavelength with a third wave of the other wavelength is known both experimentally and theoretically to play a key role in producing a rich variety of interesting phenomena such as quasipatterns, superlattice patterns and spatio-temporal chaos (STC) [1][2][3][4][5][6][7][8].In this paper, we focus on three-wave interactions (3WIs) involving two comparable wavelengths and develop a criterion for when such interactions are likely to lead to STC, as opposed to steady patterns and quasipatterns. The mechanism we describe is generic, and will apply to any system in which such 3WIs can occur, such as the Faraday wave experiment [1-3], coupled Turing systems [4] and some optical systems [5].…”
mentioning
confidence: 99%
“…[84][85][86] Porém, estruturas quadradas mostraram--se com um pequeno tempo de vida quando removida a perturbação, retornando para o padrão labiríntico. 87 A emergência de padrões quadrados tem sido observada numa variedade de experimentos em sistemas fora do estado de equilíbrio termodinâmico, como as ondas de Faraday, 88,89 convecções de Marangoni-Nérnard 90-92 e RayleighBérnard, [93][94][95][96] além das descargas de barreiras dielétricas, 97 mas dificilmente são observadas em sistemas de reação-difusão.…”
Section: Figura 3 Esquema Genérico Que Representa a Emergência Dos Punclassified