From Coherent Shocklets to Giant Collective Incoherent Shock Waves in Nonlocal Turbulent Flows

Overview

Journal Nat Commun

Specialty Biology

Date 2015 Sep 9

PMID 26348292

Citations 4

Authors

G Xu

D Vocke

D Faccio

J Garnier

T Roger

S Trillo

A Picozzi

Affiliations

Soon will be listed here.

Abstract

Understanding turbulent flows arising from random dispersive waves that interact strongly through nonlinearities is a challenging issue in physics. Here we report the observation of a characteristic transition: strengthening the nonlocal character of the nonlinear response drives the system from a fully turbulent regime, featuring a sea of coherent small-scale dispersive shock waves (shocklets) towards the unexpected emergence of a giant collective incoherent shock wave. The front of such global incoherent shock carries most of the stochastic fluctuations and is responsible for a peculiar folding of the local spectrum. Nonlinear optics experiments performed in a solution of graphene nano-flakes clearly highlight this remarkable transition. Our observations shed new light on the role of long-range interactions in strongly nonlinear wave systems operating far from thermodynamic equilibrium, which reveals analogies with, for example, gravitational systems, and establishes a new scenario that can be common to many turbulent flows in photonic quantum fluids, hydrodynamics and Bose-Einstein condensates.

Citing Articles

The piston Riemann problem in a photon superfluid.

Bendahmane A, Xu G, Conforti M, Kudlinski A, Mussot A, Trillo S Nat Commun. 2022; 13(1):3137.

PMID: 35668094 PMC: 9170689. DOI: 10.1038/s41467-022-30734-5.

Analysis of light-wave nonstaticity in the coherent state.

Choi J Sci Rep. 2021; 11(1):23974.

PMID: 34907185 PMC: 8671475. DOI: 10.1038/s41598-021-03047-8.

Observation of replica symmetry breaking in disordered nonlinear wave propagation.

Pierangeli D, Tavani A, Di Mei F, Agranat A, Conti C, DelRe E Nat Commun. 2017; 8(1):1501.

PMID: 29142262 PMC: 5688108. DOI: 10.1038/s41467-017-01612-2.

Turbulence hierarchy in a random fibre laser.

Gonzalez I, Lima B, Pincheira P, Brum A, Macedo A, Vasconcelos G Nat Commun. 2017; 8:15731.

PMID: 28561064 PMC: 5499202. DOI: 10.1038/ncomms15731.

References

Minovich A, Neshev D, Dreischuh A, Krolikowski W, Kivshar Y . Experimental reconstruction of nonlocal response of thermal nonlinear optical media. Opt Lett. 2007; 32(12):1599-601. DOI: 10.1364/ol.32.001599. View

Rotschild C, Cohen O, Manela O, Segev M, Carmon T . Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons. Phys Rev Lett. 2005; 95(21):213904. DOI: 10.1103/PhysRevLett.95.213904. View

Chang J, Engels P, Hoefer M . Formation of dispersive shock waves by merging and splitting Bose-Einstein condensates. Phys Rev Lett. 2008; 101(17):170404. DOI: 10.1103/PhysRevLett.101.170404. View

Xu G, Garnier J, Picozzi A . Spectral long-range interaction of temporal incoherent solitons. Opt Lett. 2014; 39(3):590-3. DOI: 10.1364/OL.39.000590. View

Josserand C, Pomeau Y, Rica S . Coexistence of ordinary elasticity and superfluidity in a model of a defect-free supersolid. Phys Rev Lett. 2007; 98(19):195301. DOI: 10.1103/PhysRevLett.98.195301. View

Dutton Z, Budde M, Slowe C, Hau L . Observation of quantum shock waves created with ultra- compressed slow light pulses in a Bose-Einstein condensate. Science. 2001; 293(5530):663-8. DOI: 10.1126/science.1062527. View

Joseph J, Thomas J, Kulkarni M, Abanov A . Observation of shock waves in a strongly interacting Fermi gas. Phys Rev Lett. 2011; 106(15):150401. DOI: 10.1103/PhysRevLett.106.150401. View

Skupin S, Saffman M, Krolikowski W . Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor. Phys Rev Lett. 2007; 98(26):263902. DOI: 10.1103/PhysRevLett.98.263902. View

Picozzi A, Garnier J . Incoherent soliton turbulence in nonlocal nonlinear media. Phys Rev Lett. 2011; 107(23):233901. DOI: 10.1103/PhysRevLett.107.233901. View

10.

White A, Anderson B, Bagnato V . Vortices and turbulence in trapped atomic condensates. Proc Natl Acad Sci U S A. 2014; 111 Suppl 1:4719-26. PMC: 3970853. DOI: 10.1073/pnas.1312737110. View

11.

Peccianti M, Conti C, Assanto G, De Luca A, Umeton C . Routing of anisotropic spatial solitons and modulational instability in liquid crystals. Nature. 2004; 432(7018):733-7. DOI: 10.1038/nature03101. View

12.

Chen Z, Sears S, Martin H, Christodoulides D, Segev M . Clustering of solitons in weakly correlated wavefronts. Proc Natl Acad Sci U S A. 2006; 99(8):5223-7. PMC: 122750. DOI: 10.1073/pnas.072287299. View

13.

Greenfield E, Nemirovsky J, El-Ganainy R, Christodoulides D, Segev M . Shockwave based nonlinear optical manipulation in densely scattering opaque suspensions. Opt Express. 2013; 21(20):23785-802. DOI: 10.1364/OE.21.023785. View

14.

Churkin D, Kolokolov I, Podivilov E, Vatnik I, Nikulin M, Vergeles S . Wave kinetics of random fibre lasers. Nat Commun. 2015; 2:6214. PMC: 4347200. DOI: 10.1038/ncomms7214. View

15.

Onorato M, Osborne A, Fedele R, Serio M . Landau damping and coherent structures in narrow-banded 1+1 deep water gravity waves. Phys Rev E Stat Nonlin Soft Matter Phys. 2003; 67(4 Pt 2):046305. DOI: 10.1103/PhysRevE.67.046305. View

16.

Ghofraniha N, Gentilini S, Folli V, DelRe E, Conti C . Shock waves in disordered media. Phys Rev Lett. 2013; 109(24):243902. DOI: 10.1103/PhysRevLett.109.243902. View

17.

Psaltis D, Quake S, Yang C . Developing optofluidic technology through the fusion of microfluidics and optics. Nature. 2006; 442(7101):381-6. DOI: 10.1038/nature05060. View

18.

Lamhot Y, Barak A, Peleg O, Segev M . Self-trapping of optical beams through thermophoresis. Phys Rev Lett. 2011; 105(16):163906. DOI: 10.1103/PhysRevLett.105.163906. View

19.

Lamhot Y, Barak A, Rotschild C, Segev M, Saraf M, Lifshitz E . Optical control of thermocapillary effects in complex nanofluids. Phys Rev Lett. 2010; 103(26):264503. DOI: 10.1103/PhysRevLett.103.264503. View

20.

Garnier J, Xu G, Trillo S, Picozzi A . Incoherent dispersive shocks in the spectral evolution of random waves. Phys Rev Lett. 2013; 111(11):113902. DOI: 10.1103/PhysRevLett.111.113902. View