General information
Latest issue
Impact factor

Search papers
Search references

Latest issue
Current issues
Archive issues
What is RSS

Pis'ma v Zh. Èksper. Teoret. Fiz.:

Personal entry:
Save password
Forgotten password?

Pis'ma v Zh. Èksper. Teoret. Fiz., 2005, Volume 82, Issue 8, Pages 544–548 (Mi jetpl1592)  

This article is cited in 51 scientific papers (total in 51 papers)


Mesoscopic wave turbulence

V. E. Zakharovabc, A. O. Korotkevichb, A. N. Pushkarevcb, A. I. Dyachenkob

a Department of Mathematics, University of Arizona, Tucson, AZ 85721 USA
b L. D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia
c Waves and Solitons LLC, Gilbert, AZ 85233 USA

Abstract: We report results of simulation of wave turbulence. Both inverse and direct cascades are observed. The definition of “mesoscopic turbulence” is given. This is a regime when number of modes in a system involved in turbulence is high enough to qualitatively simulate most of processes but significantly smaller then threshold which gives us quantitative agreement with statistical description, like kinetic equation. Such regime takes place in numerical simulation, essentially finite systems etc.

Full text: PDF file (492 kB)
References: PDF file   HTML file

English version:
Journal of Experimental and Theoretical Physics Letters, 2005, 82:8, 487–491

Bibliographic databases:

Document Type: Article
PACS: 02.60.Cb, 47.11.+j, 47.27.Eq, 47.35.+i
Received: 17.08.2005
Language: English

Citation: V. E. Zakharov, A. O. Korotkevich, A. N. Pushkarev, A. I. Dyachenko, “Mesoscopic wave turbulence”, Pis'ma v Zh. Èksper. Teoret. Fiz., 82:8 (2005), 544–548; JETP Letters, 82:8 (2005), 487–491

Citation in format AMSBIB
\by V.~E.~Zakharov, A.~O.~Korotkevich, A.~N.~Pushkarev, A.~I.~Dyachenko
\paper Mesoscopic wave turbulence
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2005
\vol 82
\issue 8
\pages 544--548
\jour JETP Letters
\yr 2005
\vol 82
\issue 8
\pages 487--491

Linking options:

    SHARE: FaceBook Twitter Livejournal

    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Badulin S.I., Pushkarev A.N., Resio D., Zakharov V.E., “Self-similarity of wind-driven seas”, Nonlinear Processes in Geophysics, 12:6 (2005), 891–945  crossref  adsnasa  isi  scopus
    2. Kartashova E., “Fast computation algorithm for discrete resonances among gravity waves”, Journal of Low Temperature Physics, 145:1–4 (2006), 287–295  crossref  adsnasa  isi  scopus
    3. Lvov Y.V., Nazarenko S., Pokorni B., “Discreteness and its effect on water-wave turbulence”, Physica D-Nonlinear Phenomena, 218:1 (2006), 24–35  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. JETP Letters, 83:7 (2006), 283–287  mathnet  crossref  isi
    5. Kartashova E., Mayrhofer G., “Cluster formation in mesoscopic systems”, Physica A-Statistical Mechanics and Its Applications, 385:2 (2007), 527–542  crossref  mathscinet  adsnasa  isi  scopus
    6. Zakharov V.E., Korotkevich A.O., Pushkarev A., Resio D., “Coexistence of weak and strong wave turbulence in a swell propagation”, Physical Review Letters, 99:16 (2007), 164501  crossref  adsnasa  isi  elib  scopus
    7. Dutykh D., Dias F., “Viscous potential free-surface flows in a fluid layer of finite depth”, C R Math Acad Sci Paris, 345:2 (2007), 113–118  crossref  mathscinet  zmath  isi  scopus
    8. Denissenko P., Lukaschuk S., Nazarenko S., “Gravity wave turbulence in a laboratory flume”, Physical Review Letters, 99:1 (2007), 014501  crossref  adsnasa  isi  elib  scopus
    9. Kartashova E., “Exact and quasiresonances in discrete water wave turbulence”, Physical Review Letters, 98:21 (2007), 214502  crossref  adsnasa  isi  elib  scopus
    10. Kartashova E., L'vov V.S., “Model of intraseasonal oscillations in Earth's atmosphere”, Physical Review Letters, 98:19 (2007), 198501  crossref  adsnasa  isi  elib  scopus
    11. Falcon E., Laroche C., Fauve S., “Observation of gravity-capillary wave turbulence”, Physical Review Letters, 98:9 (2007), 094503  crossref  adsnasa  isi  elib  scopus
    12. Korotkevich A.O., Pushkarev A.N., Resio D., Zakharov V.E., “Numerical verification of the hasselmann equation”, Tsunami and Nonlinear Waves, 2007, 135–172  crossref  mathscinet  zmath  isi
    13. Bourouiba L., “Discreteness and resolution effects in rapidly rotating turbulence”, Phys Rev E, 78:5, Part 2 (2008), 056309  crossref  adsnasa  isi  elib  scopus
    14. Korotkevich A.O., “On the Doppler distortion of the sea-wave spectra”, Physica D-Nonlinear Phenomena, 237:21 (2008), 2767–2776  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    15. Korotkevich A.O., “Simultaneous numerical simulation of direct and inverse cascades in wave turbulence”, Physical Review Letters, 101:7 (2008), 074504  crossref  adsnasa  isi  elib  scopus
    16. Kartashova E., Nazarenko S., Rudenko O., “Resonant interactions of nonlinear water waves in a finite basin”, Phys Rev E, 78:1, Part 2 (2008), 016304  crossref  mathscinet  adsnasa  isi  elib  scopus
    17. Korotkevich A.O., Pushkarev A., Resio D., Zakharov V.E., “Numerical verification of the weak turbulent model for swell evolution”, Eur J Mech B Fluids, 27:4 (2008), 361–387  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    18. Newell A.C., Zakharov V.E., “The role of the generalized Phillips' spectrum in wave turbulence”, Phys Lett A, 372:23 (2008), 4230–4233  crossref  zmath  adsnasa  isi  elib  scopus
    19. Dias F., Dyachenko A.I., Zakharov V.E., “Theory of weakly damped free-surface flows: A new formulation based on potential flow solutions”, Phys Lett A, 372:8 (2008), 1297–1302  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    20. L'vov V.S., Pomyalov A., Procaccia I., Rudenko O., “Finite-dimensional turbulence of planetary waves”, Phys Rev E, 80:6, Part 2 (2009), 066319  crossref  adsnasa  isi  scopus
    21. Kartashova E., “Discrete wave turbulence”, Europhys Lett EPL, 87:4 (2009), 44001  crossref  adsnasa  isi  scopus
    22. Chalikov D., “Freak waves: Their occurrence and probability”, Physics of Fluids, 21:7 (2009), 076602  crossref  zmath  adsnasa  isi  scopus
    23. Kartashova E., “Nonlinear Resonances of Water Waves”, Discrete Contin Dyn Syst Ser B, 12:3 (2009), 607–621  crossref  mathscinet  zmath  isi  elib  scopus
    24. Lukaschuk S., Nazarenko S., McLelland S., Denissenko P., “Gravity Wave Turbulence in Wave Tanks: Space and Time Statistics”, Physical Review Letters, 103:4 (2009), 044501  crossref  adsnasa  isi  elib  scopus
    25. Dutykh D., “Visco-potential free-surface flows and long wave modelling”, Eur J Mech B Fluids, 28:3 (2009), 430–443  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    26. L'vov V.S., Nazarenko S., “Discrete and mesoscopic regimes of finite-size wave turbulence”, Phys Rev E, 82:5, Part 2 (2010), 056322  crossref  mathscinet  adsnasa  isi  scopus
    27. Falcon E., “Laboratory Experiments on Wave Turbulence”, Discrete Contin Dyn Syst Ser B, 13:4 (2010), 819–840  crossref  mathscinet  zmath  isi  elib  scopus
    28. Boue L., Dasgupta R., Laurie J., L'vov V., Nazarenko S., Procaccia I., “Exact solution for the energy spectrum of Kelvin-wave turbulence in superfluids”, Physical Review B, 84:6 (2011), 064516  crossref  adsnasa  isi  elib  scopus
    29. Bustamante M.D., Kartashova E., “Resonance Clustering in Wave Turbulent Regimes: Integrable Dynamics”, Communications in Computational Physics, 10:5 (2011), 1211–1240  crossref  isi  scopus
    30. Korotkevich A.O., “On Dispersion Relation for Gravity Waves in the Presence of Condensate.”, Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, Vols a-C, AIP Conference Proceedings, 1389, ed. Simos T., Amer Inst Physics, 2011  crossref  isi  scopus
    31. Proment D., Nazarenko S., Onorato M., “Sustained turbulence in the three-dimensional Gross–Pitaevskii model”, Physica D-Nonlinear Phenomena, 241:3 (2012), 304–314  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    32. L. V. Abdurakhimov, M. Yu. Brazhnikov, A. A. Levchenko, I. A. Remizov, S. V. Filatov, “Kinetic and discrete turbulence on the surface of quantum liquids”, Phys. Usp., 55:8 (2012), 818–825  mathnet  crossref  crossref  isi  elib  elib
    33. L. V. Abdurakhimov, M. Yu. Brazhnikov, A. A. Levchenko, I. A. Remizov, S. V. Filatov, “Turbulent capillary cascade near the edge of the inertial range on the surface of a quantum liquid”, JETP Letters, 95:12 (2012), 670–679  mathnet  crossref  isi  elib
    34. Korotkevich A.O., “Influence of the Condensate and Inverse Cascade on the Direct Cascade in Wave Turbulence”, Math. Comput. Simul., 82:7, SI (2012), 1228–1238  crossref  mathscinet  zmath  isi  elib  scopus
    35. JETP Letters, 97:3 (2013), 126–130  mathnet  crossref  crossref  isi  elib  elib
    36. Bustamante M.D. Hayat U., “Complete Classification of Discrete Resonant Rossby/Drift Wave Triads on Periodic Domains”, Commun. Nonlinear Sci. Numer. Simul., 18:9 (2013), 2402–2419  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    37. Harris J., Connaughton C., Bustamante M.D., “Percolation Transition in the Kinematics of Nonlinear Resonance Broadening in Charney-Hasegawa-Mima Model of Rossby Wave Turbulence”, New J. Phys., 15 (2013), 083011  crossref  isi  scopus
    38. Kartashov E., “Time Scales and Structures of Wave Interaction Exemplified with Water Waves”, EPL, 102:4 (2013), 44005  crossref  adsnasa  isi  scopus
    39. Bustamante M.D., Quinn B., Lucas D., “Robust Energy Transfer Mechanism Via Precession Resonance in Nonlinear Turbulent Wave Systems”, Phys. Rev. Lett., 113:8 (2014), 084502  crossref  isi  elib  scopus
    40. Deike L. Berhanu M. Falcon E., “Energy Flux Measurement From the Dissipated Energy in Capillary Wave Turbulence”, Phys. Rev. E, 89:2 (2014), 023003  crossref  isi  elib  scopus
    41. Scott J.F., “Wave Turbulence in a Rotating Channel”, J. Fluid Mech., 741 (2014), 316–349  crossref  mathscinet  zmath  isi  elib  scopus
    42. Connaughton C. Nazarenko S. Quinn B., “Rossby and Drift Wave Turbulence and Zonal Flows: the Charney-Hasegawa-Mima Model and Its Extensions”, Phys. Rep.-Rev. Sec. Phys. Lett., 604 (2015), 1–71  crossref  mathscinet  zmath  isi  scopus
    43. Deike L., Miquel B., Gutierrez P., Jamin T., Samin B., Berhanu M., Falcon E., Bonnefoy F., “Role of the Basin Boundary Conditions in Gravity Wave Turbulence”, J. Fluid Mech., 781 (2015), 196–225  crossref  mathscinet  zmath  isi  elib  scopus
    44. Brazhnikov M.Yu. Levchenko A.A. Mezhov-Deglin L.P. Remizov I.A., “Wave Turbulence on the Surface of Liquid Hydrogen in Restricted Geometry: the Influence of the Boundary Conditions”, Low Temp. Phys., 41:6 (2015), 484–487  crossref  isi  elib  scopus
    45. Korotkevich A.O. Zakharov V.E., “Evaluation of a Spectral Line Width For the Phillips Spectrum By Means of Numerical Simulation”, Nonlinear Process Geophys., 22:3 (2015), 325–335  crossref  isi  elib  scopus
    46. Nazarenko S. Lukaschuk S., “Wave Turbulence on Water Surface”, Annual Review of Condensed Matter Physics, Vol 7, Annu. Rev. Condens. Matter Phys., 7, ed. Marchetti M. Sachdev S., Annual Reviews, 2016, 61–88  crossref  isi  elib  scopus
    47. Korotkevich A.O. Dyachenko A.I. Zakharov V.E., “Numerical simulation of surface waves instability on a homogeneous grid”, Physica D, 321 (2016), 51–66  crossref  mathscinet  zmath  isi  scopus
    48. Tobisch E., “Introduction”, New Approaches to Nonlinear Waves, Lecture Notes in Physics, 908, ed. Tobisch E., Springer-Verlag Berlin, 2016, 1–19  crossref  mathscinet  isi  scopus
    49. Faou E., Germain P., Hani Z., “The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation”, J. Am. Math. Soc., 29:4 (2016), 915–982  crossref  zmath  isi  elib  scopus
    50. Castillo G. Falcon C., “Generation of Intermittent Gravitocapillary Waves Via Parametric Forcing”, Phys. Rev. E, 97:4 (2018), 043101  crossref  isi  scopus
    51. A. O. Korotkevich, A. O. Prokofev, V. E. Zakharov, “O tempe dissipatsii okeanskikh voln, vyzvannoi ikh obrusheniem”, Pisma v ZhETF, 109:5 (2019), 312–319  mathnet  crossref  elib
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
    Number of views:
    This page:173
    Full text:35

    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019