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Falcon E, Michel G, Prabhudesai G, Cazaubiel A, Berhanu M, Mordant N, Aumaître S, Bonnefoy F. Saturation of the Inverse Cascade in Surface Gravity-Wave Turbulence. Phys Rev Lett 2020; 125:134501. [PMID: 33034484 DOI: 10.1103/physrevlett.125.134501] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/04/2020] [Accepted: 08/14/2020] [Indexed: 06/11/2023]
Abstract
We report on the observation of surface gravity-wave turbulence at scales larger than the forcing ones in a large basin. In addition to the downscale transfer usually reported in gravity-wave turbulence, an upscale transfer is observed, interpreted as the inverse cascade of weak turbulence theory. A steady state is achieved when the inverse cascade reaches a scale in between the forcing wavelength and the basin size, but far from the latter. This inverse cascade saturation, which depends on the wave steepness, is probably due to the emergence of nonlinear dissipative structures such as sharp-crested waves.
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Affiliation(s)
- E Falcon
- Université de Paris, Univ Paris Diderot, MSC, UMR 7057 CNRS, F-75 013 Paris, France
| | - G Michel
- Sorbonne Université, IJLRA, UMR 7190 CNRS, F-75 005 Paris, France
| | - G Prabhudesai
- Ecole Normale Supérieure, LPS, UMR 8550 CNRS, F-75 205 Paris, France
| | - A Cazaubiel
- Université de Paris, Univ Paris Diderot, MSC, UMR 7057 CNRS, F-75 013 Paris, France
| | - M Berhanu
- Université de Paris, Univ Paris Diderot, MSC, UMR 7057 CNRS, F-75 013 Paris, France
| | - N Mordant
- Université Grenoble Alpes, LEGI, UMR 5519 CNRS, F-38 000 Grenoble, France
| | - S Aumaître
- CEA-Saclay, Sphynx, DSM, URA 2464 CNRS, F-91 191 Gif-sur-Yvette, France
| | - F Bonnefoy
- Ecole Centrale de Nantes, LHEEA, UMR 6598 CNRS, F-44 321 Nantes, France
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Aumaître S, Behringer RP, Cazaubiel A, Clément E, Crassous J, Durian DJ, Falcon E, Fauve S, Fischer D, Garcimartín A, Garrabos Y, Hou M, Jia X, Lecoutre C, Luding S, Maza D, Noirhomme M, Opsomer E, Palencia F, Pöschel T, Schockmel J, Sperl M, Stannarius R, Vandewalle N, Yu P. An instrument for studying granular media in low-gravity environment. Rev Sci Instrum 2018; 89:075103. [PMID: 30068123 DOI: 10.1063/1.5034061] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
A new experimental facility has been designed and constructed to study driven granular media in a low-gravity environment. This versatile instrument, fully automatized, with a modular design based on several interchangeable experimental cells, allows us to investigate research topics ranging from dilute to dense regimes of granular media such as granular gas, segregation, convection, sound propagation, jamming, and rheology-all without the disturbance by gravitational stresses active on Earth. Here, we present the main parameters, protocols, and performance characteristics of the instrument. The current scientific objectives are then briefly described and, as a proof of concept, some first selected results obtained in low gravity during parabolic flight campaigns are presented.
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Affiliation(s)
- S Aumaître
- SPEC, DSM, CEA-Saclay, CNRS URA 2464, F-91191 Gif-sur-Yvette, France
| | - R P Behringer
- Department of Physics, Duke University, Durham, North Carolina 27708-0305, USA
| | - A Cazaubiel
- Université Paris Diderot, SPC, MSC, UMR 7057 CNRS, F-75013 Paris, France
| | - E Clément
- PMMH, ESPCI, UMR 7636 CNRS, F-75005 Paris, France
| | - J Crassous
- Université Rennes 1, IPR, UMR 6251 CNRS, F-35042 Rennes, France
| | - D J Durian
- University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, USA
| | - E Falcon
- Université Paris Diderot, SPC, MSC, UMR 7057 CNRS, F-75013 Paris, France
| | - S Fauve
- École Normale Supérieure, LPS, CNRS, UMR 8550, F-75005 Paris, France
| | - D Fischer
- IEP, Otto von Guericke Universität, D-39106 Magdeburg, Germany
| | - A Garcimartín
- DFMA, Universidad de Navarra, E-31080 Pamplona, Spain
| | - Y Garrabos
- CNRS, ICMCB, Université de Bordeaux, UMR 5026, F-33600 Pessac, France
| | - M Hou
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - X Jia
- Institut Langevin, ESPCI Paris, PSL, CNRS, F-75005 Paris, France
| | - C Lecoutre
- CNRS, ICMCB, Université de Bordeaux, UMR 5026, F-33600 Pessac, France
| | - S Luding
- MSM, University of Twente, 7500 AE Enschede, The Netherlands
| | - D Maza
- DFMA, Universidad de Navarra, E-31080 Pamplona, Spain
| | - M Noirhomme
- GRASP, Institute of Physics B5a, University of Liège, B-4000 Liège, Belgium
| | - E Opsomer
- GRASP, Institute of Physics B5a, University of Liège, B-4000 Liège, Belgium
| | - F Palencia
- CNRS, ICMCB, Université de Bordeaux, UMR 5026, F-33600 Pessac, France
| | - T Pöschel
- Friedrich-Alexander Universität, IMS, D-91052 Erlangen, Germany
| | - J Schockmel
- GRASP, Institute of Physics B5a, University of Liège, B-4000 Liège, Belgium
| | - M Sperl
- Institut für Materialphysik im Weltraum, DLR, D-51170 Köln, Germany
| | - R Stannarius
- IEP, Otto von Guericke Universität, D-39106 Magdeburg, Germany
| | - N Vandewalle
- GRASP, Institute of Physics B5a, University of Liège, B-4000 Liège, Belgium
| | - P Yu
- MSM, University of Twente, 7500 AE Enschede, The Netherlands
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Gallet B, Aumaître S, Boisson J, Daviaud F, Dubrulle B, Bonnefoy N, Bourgoin M, Odier P, Pinton JF, Plihon N, Verhille G, Fauve S, Pétrélis F. Experimental observation of spatially localized dynamo magnetic fields. Phys Rev Lett 2012; 108:144501. [PMID: 22540795 DOI: 10.1103/physrevlett.108.144501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/19/2012] [Indexed: 05/31/2023]
Abstract
We report the first experimental observation of a spatially localized dynamo magnetic field, a common feature of astrophysical dynamos and convective dynamo simulations. When the two propellers of the von Kármán sodium experiment are driven at frequencies that differ by 15%, the mean magnetic field's energy measured close to the slower disk is nearly 10 times larger than the one close to the faster one. This strong localization of the magnetic field when a symmetry of the forcing is broken is in good agreement with a prediction based on the interaction between a dipolar and a quadrupolar magnetic mode.
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Affiliation(s)
- B Gallet
- Laboratoire de Physique Statistique, Ecole Normale Supérieure, CNRS, Université Pierre et Marie Curie, Université Paris Diderot, Paris, France
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Ravelet F, Berhanu M, Monchaux R, Aumaître S, Chiffaudel A, Daviaud F, Dubrulle B, Bourgoin M, Odier P, Plihon N, Pinton JF, Volk R, Fauve S, Mordant N, Pétrélis F. Chaotic dynamos generated by a turbulent flow of liquid sodium. Phys Rev Lett 2008; 101:074502. [PMID: 18764540 DOI: 10.1103/physrevlett.101.074502] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/01/2008] [Indexed: 05/26/2023]
Abstract
We report the observation of several dynamical regimes of the magnetic field generated by a turbulent flow of liquid sodium (VKS experiment). Stationary dynamos, transitions to relaxation cycles or to intermittent bursts, and random field reversals occur in a fairly small range of parameters. Large scale dynamics of the magnetic field result from the interactions of a few modes. The low dimensional nature of these dynamics is not smeared out by the very strong turbulent fluctuations of the flow.
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Affiliation(s)
- F Ravelet
- Service de Physique de l'Etat Condensé, Direction des Sciences de la Matière, CEA-Saclay, CNRS URA 2464, 91191 Gif-sur-Yvette cedex, France
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Abstract
We report an experimental study on the effect of an external phase noise on the parametric amplification of surface waves. We observe that both the instability growth rate and the wave amplitude above the instability onset are decreased in the presence of noise. We show that all the results can be understood with a deterministic amplitude equation for the wave in which the effect of noise is just to change the forcing term. All the data for the growth rate (respectively the wave amplitude), obtained for different forcing amplitudes and different intensities of the noise, can be collapsed on a single curve using this renormalized forcing in the presence of noise.
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Affiliation(s)
- F Pétrélis
- Laboratoire de Physique Statistique, Ecole Normale Supérieure, UMR 8550, 24, rue Lhomond, 75 005 Paris, France
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Aumaître S, Schnautz T, Kruelle CA, Rehberg I. Granular phase transition as a precondition for segregation. Phys Rev Lett 2003; 90:114302. [PMID: 12688931 DOI: 10.1103/physrevlett.90.114302] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/11/2002] [Revised: 02/03/2003] [Indexed: 05/24/2023]
Abstract
Experimental results are presented on the segregation of a mixture of spheres with two different sizes, rolling on a circularly vibrating table. Beyond a critical density of particles a demixing occurs leading to a clustering of the larger ones. A monodisperse layer of spheres shows a liquid-solid-like phase transition at a slightly lower critical density. These critical particle densities are both found to be independent of the driving frequency, but decrease with increasing vibration amplitude.
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Affiliation(s)
- S Aumaître
- Laboratoire de Physique Statistique, Ecole Normale Supérieure, F-75231 Paris, France
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