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 52 scientific papers (total in 52 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:

PACS: 02.60.Cb, 47.11.+j, 47.27.Eq, 47.35.+i
Received: 17.08.2005

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., Nonlinear Processes in Geophysics, 12:6 (2005), 891–945  crossref  adsnasa  isi  scopus
    2. Kartashova E., Journal of Low Temperature Physics, 145:1–4 (2006), 287–295  crossref  adsnasa  isi  scopus
    3. Lvov Y.V., Nazarenko S., Pokorni B., 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., 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., Physical Review Letters, 99:16 (2007), 164501  crossref  adsnasa  isi  elib  scopus
    7. Dutykh D., Dias F., C R Math Acad Sci Paris, 345:2 (2007), 113–118  crossref  mathscinet  zmath  isi  scopus
    8. Denissenko P., Lukaschuk S., Nazarenko S., Physical Review Letters, 99:1 (2007), 014501  crossref  adsnasa  isi  elib  scopus
    9. Kartashova E., Physical Review Letters, 98:21 (2007), 214502  crossref  adsnasa  isi  elib  scopus
    10. Kartashova E., L'vov V.S., Physical Review Letters, 98:19 (2007), 198501  crossref  adsnasa  isi  elib  scopus
    11. Falcon E., Laroche C., Fauve S., Physical Review Letters, 98:9 (2007), 094503  crossref  adsnasa  isi  elib  scopus
    12. Korotkevich A.O., Pushkarev A.N., Resio D., Zakharov V.E., Tsunami and Nonlinear Waves, 2007, 135–172  crossref  mathscinet  zmath  isi
    13. Bourouiba L., Phys Rev E, 78:5, Part 2 (2008), 056309  crossref  adsnasa  isi  elib  scopus
    14. Korotkevich A.O., Physica D-Nonlinear Phenomena, 237:21 (2008), 2767–2776  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    15. Korotkevich A.O., Physical Review Letters, 101:7 (2008), 074504  crossref  adsnasa  isi  elib  scopus
    16. Kartashova E., Nazarenko S., Rudenko O., 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., Eur J Mech B Fluids, 27:4 (2008), 361–387  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    18. Newell A.C., Zakharov V.E., Phys Lett A, 372:23 (2008), 4230–4233  crossref  zmath  adsnasa  isi  elib  scopus
    19. Dias F., Dyachenko A.I., Zakharov V.E., 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., Phys Rev E, 80:6, Part 2 (2009), 066319  crossref  adsnasa  isi  scopus
    21. Kartashova E., Europhys Lett EPL, 87:4 (2009), 44001  crossref  adsnasa  isi  scopus
    22. Chalikov D., Physics of Fluids, 21:7 (2009), 076602  crossref  zmath  adsnasa  isi  scopus
    23. Kartashova E., 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., Physical Review Letters, 103:4 (2009), 044501  crossref  adsnasa  isi  elib  scopus
    25. Dutykh D., Eur J Mech B Fluids, 28:3 (2009), 430–443  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    26. L'vov V.S., Nazarenko S., Phys Rev E, 82:5, Part 2 (2010), 056322  crossref  mathscinet  adsnasa  isi  scopus
    27. Falcon E., 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., Physical Review B, 84:6 (2011), 064516  crossref  adsnasa  isi  elib  scopus
    29. Bustamante M.D., Kartashova E., Communications in Computational Physics, 10:5 (2011), 1211–1240  crossref  isi  scopus
    30. Korotkevich A.O., 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., 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, 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, JETP Letters, 95:12 (2012), 670–679  mathnet  crossref  isi  elib
    34. Korotkevich A.O., 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., 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., New J. Phys., 15 (2013), 083011  crossref  isi  scopus
    38. Kartashov E., EPL, 102:4 (2013), 44005  crossref  adsnasa  isi  scopus
    39. Bustamante M.D., Quinn B., Lucas D., Phys. Rev. Lett., 113:8 (2014), 084502  crossref  isi  elib  scopus
    40. Deike L. Berhanu M. Falcon E., Phys. Rev. E, 89:2 (2014), 023003  crossref  isi  elib  scopus
    41. Scott J.F., J. Fluid Mech., 741 (2014), 316–349  crossref  mathscinet  zmath  isi  elib  scopus
    42. Connaughton C. Nazarenko S. Quinn B., 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., 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., Low Temp. Phys., 41:6 (2015), 484–487  crossref  isi  elib  scopus
    45. Korotkevich A.O. Zakharov V.E., Nonlinear Process Geophys., 22:3 (2015), 325–335  crossref  isi  elib  scopus
    46. Nazarenko S. Lukaschuk S., 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., Physica D, 321 (2016), 51–66  crossref  mathscinet  zmath  isi  scopus
    48. Tobisch E., 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., J. Am. Math. Soc., 29:4 (2016), 915–982  crossref  zmath  isi  elib  scopus
    50. Castillo G. Falcon C., Phys. Rev. E, 97:4 (2018), 043101  crossref  isi  scopus
    51. A. O. Korotkevich, A. O. Prokofev, V. E. Zakharov, Pisma v ZhETF, 109:5 (2019), 312–319  mathnet  crossref  elib
    52. Campagne A. Hassaini R. Redor I. Valran T. Viboud S. Sommeria J. Mordant N., Phys. Rev. Fluids, 4:7 (2019), 074801  crossref  isi
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
    Number of views:
    This page:190
    Full text:41

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