Statistical analysis of nonlinear wave interactions in simulated Langmuir turbulence data

Annales Geophysicae

Volumn 21, Issue 3, 2003, Pages 681-692

  Soucek, J ^a,b   Dudok de Wit, T ^b   Krasnoselskikh, V ^b   Volokitin, A ^b,c  

^a INSTITUTE OF ATMOSPHERIC PHYSICS   (Czech Republic)

^b LPCE CNRS   (France)

^c PUSHKOV INSTITUTE OF TERRESTRIAL MAGNETISM   (Russian Federation)

Author keywords

Space plasma physics (wave wave interactions; experimental and mathematical techniques; nonlinear phenomena)

Indexed keywords

ASTROPHYSICS;

EID: 0038793706     PISSN: 09927689     EISSN: None     Source Type: Journal    
DOI: 10.5194/angeo-21-681-2003     Document Type: Article

References (21)

1. Al'terkop, B. A., Volokitin, A. S., and Tarankov, V. P.: Nonlinear state of parametric interaction between waves in an active medium. Sov. Phys. JETP, 44, 2, 287-291, 1976.
2. Degtyarev, L. M., Solovev, I. G., Shapiro, V. D., and Shevcenko, V. I.: Sov. Phys. JETP Lett., 29, 494, 1979.
3. Doolen, G. D., DuBois, D. F., and Rose, H. A.: Nucleation of cavitons in strong langmuir turbulence, Phys. Rev. Lett., 54, 804, 1985.
4. Dudok de Wit, T., Krasnoselskikh, V., Dunlop, M., and Lühr, H.: Idetifying nonlinear wave interactions in plasmas using two-point measurements: A case study of short large amplitude magentic structures (slams), J. Geoph. Res., 104, 17 079-17 090, 1999.
5. Frisch, U.: Turbulence, Cambridge University Press, Cambridge, 1995.
6. Galeev, A. A. and Sudan, R. N.: Basic Plasma Physics, vol. 2, North Holland, Amsterdam, 1989.
7. Goldman, M. V., Newman, D. L., Wang, J. G., and Mashietti, L.: Langmuir turbulence in space plasmas. Phys. Scripta, T63, 28-33, 1996.
8. Golub, G. H. and Van Loan, C. F.: Matrix computations, John Hopkins Press, Baltimore, MD, 1989.
9. Kadomtsev, B. B.: Plasma Turbulence, Academic Press, London, 1965.
10. Kantz, H. and Schreiber, T.: Nonlinear time series analysis, Cambridge University Press, Cambridge, 1997.
11. Kim, Y. C. and Powers, E. J.: Digital bispectral analysis and its applications to nonlinear wave interactions, IEEE Transactions on Plasma Science, PS-7, 120-131, 1979.
12. Kravtchenko-Berejnoi, V., Lefeuvre, F., Krasnoselskikh, V., and Lagoutte, D.: On the use of tricoherent analysis to detect nonlinear wave-wave interactions, Signal Processing, 42, 291-309, 1995.
13. Monin and Yaglom, Statistical Fulid Mechanics, John Hopkins Press, Baltimore, MD, 1963.
14. Musher, S. L., Rubenchik, A. M., and Zakharov, V. E.: Weak langmuir turbulence, Physics Reports, 252, 177-274, 1995.
15. Pécseli, H. and Trulsen, J.: On the interpretation of experimental methods for investigating nonlinear wave phenomena, Plasma Phys. Contr. Fusion, 35, 1701-1715, 1993.
16. Ritz, C. P. and Powers, E. J.: Estimation of nonlinear transfer functions for fully developed turbulence, Physica D, 20, 320-334, 1986.
17. Ritz, C. P., Powers, E. J., and Bengtson, R. D.: Experimental measurement of three-wave coupling and energy cascading. Phys. Fluids B. 1, 153-163, 1989.
18. Robinson, P. A.: Nonlinear wave collapse and strong turbulence. Rev. Mod. Phys., 69, 507-573, 1997.
19. Rudakov, L. I.: Sov. Phys. Doklady, 57, 821, 1973.
20. Shapiro, V. D. and Shevchenko, V. I.: Strong turbulence of plasma oscillations. Basic Plasma Physics, 2, 123-182, 1983.
21. Zakharov, V. E.: Collapse of langmuir waves. Sov. Phys. JETP. 35(5), 908-914, 1972.