Scaling Regimes of Active Turbulence with External Dissipation
Martinez-Prat, Berta; Alert, Ricard3,4; Meng, Fanlong5,6,7; Ignes-Mullol, Jordi; Joanny, Jean-Francois; Casademunt, Jaume11,12; Golestanian, Ramin1,5; Sagues, Francesc2
刊名PHYSICAL REVIEW X
2021
卷号11期号:3页码:31065
关键词HYDRODYNAMICS TRANSITIONS DYNAMICS FLUID
ISSN号2160-3308
DOI10.1103/PhysRevX.11.031065
英文摘要Active fluids exhibit complex turbulentlike flows at low Reynolds number. Recent work predicted that 2D active nematic turbulence follows scaling laws with universal exponents. However, experimentally testing these predictions is conditioned by the coupling to the 3D environment. Here, we measure the spectrum of the kinetic energy E(q) in an active nematic film in contact with a passive oil layer. At small and intermediate scales, we find the scaling regimes E(q) similar to q(-4) and E(q) similar to q(-1), respectively, in agreement with the theoretical prediction for 2D active nematics. At large scales, however, we find a new scaling E(q) similar to q, which emerges when the dissipation is dominated by the 3D oil layer. In addition, we derive an explicit expression for the spectrum that spans all length scales, thus explaining and connecting the different scaling regimes. This allows us to fit the data and extract the length scale that controls the crossover to the new large-scale regime, which we tune by varying the oil viscosity. Overall, our work experimentally demonstrates the emergence of scaling laws with universal exponents in active turbulence, and it establishes how the spectrum is affected by external dissipation.
学科主题Physics
语种英语
内容类型期刊论文
源URL[http://ir.itp.ac.cn/handle/311006/27657]  
专题理论物理研究所_理论物理所1978-2010年知识产出
作者单位1.Univ Barcelona, Univ Barcelona Inst Complex Syst UBICS, Barcelona 08028, Catalonia, Spain
2.Univ Barcelona, Dept Mat Sci & Phys Chem, Barcelona 08028, Catalonia, Spain
3.Univ Barcelona, Inst Nanosci & Nanotechnol IN2UB, Barcelona 08028, Catalonia, Spain
4.Princeton Univ, Princeton Ctr Theoret Sci, Princeton, NJ 08544 USA
5.Princeton Univ, Lewis Sigler Inst Integrat Genom, Princeton, NJ 08544 USA
6.Max Planck Inst Dynam & Self Org MPIDS, D-37077 Gottingen, Germany
7.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
8.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
9.PSL Univ, ESPCI Paris, Paris, France
10.PSL Univ, Sorbonne Univ, UPMC, Inst Curie,Lab PhysicoChim Curie, Paris, France
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Martinez-Prat, Berta,Alert, Ricard,Meng, Fanlong,et al. Scaling Regimes of Active Turbulence with External Dissipation[J]. PHYSICAL REVIEW X,2021,11(3):31065.
APA Martinez-Prat, Berta.,Alert, Ricard.,Meng, Fanlong.,Ignes-Mullol, Jordi.,Joanny, Jean-Francois.,...&Sagues, Francesc.(2021).Scaling Regimes of Active Turbulence with External Dissipation.PHYSICAL REVIEW X,11(3),31065.
MLA Martinez-Prat, Berta,et al."Scaling Regimes of Active Turbulence with External Dissipation".PHYSICAL REVIEW X 11.3(2021):31065.
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