Abstract
The development of the parametric instability in a continuous medium (if the system’s size is big enough in comparison with the wavelength of the excited waves) results in a great number of waves simultaneously excited and intensively interacting. The state of the waves is determined mostly by some particular factors: the dispersion law of the waves and the nonlinear and dissipative properties of the medium. These factors can vary considerably in different cases.
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References
H. Suhl: Note on the Ferromagnets, J. Appl. Phys. 30, No 12, 1961–1964 (1959).
E. Schlömann, J.H. Saunder, and M.H. Sirvetz: L-Band Ferromagnetic Resonance at High Peak Power Level, Trans. IRE,MTT 8, No 8, 96–100 (1960).
V.E. Zakharov, V.S. L’vov and S.S. Starobinets: Preprint No 227 (Institute for Nuclear Physics, Novosibirsk 1968).
V.E. Zakharov, V.S. L’vov, S.S. Starobinets: Fiz. Tverd. Tela 11, 2047 (1969).
V.E. Zakharov, V.S. L’vov and S.S. Starobinets: Instability of the Monochromatic Spin Waves, Fiz. Tverd. Tela 11, No 10, 2924–2930 (1969).
V.E. Zakharov, V.S. L’vov and S.S. Starobinets: Stationary Nonlinear Theory of Parametric Excitation of Waves, Sov. Phys.-JETP 32, 656 (1971).
V.V. Zautkin, V.S. L’vov, S.L. Musher, S.S. Starobinets: Proof of Stage-by-Stage Excitation of Parametric Spin Waves, Sov. Phys.-JETP, Lett. 14, 206 (1971).
V.V. Zautkin, V.S. L’vov and S.S. Starobinets: Resonance Phenomena in Parametric Spin Wave System, Sov. Phys.-JETP 36, No 1, 96–99 (1973).
V.V. Zautkin, V.E. Zakharov, V.S. L’vov, S.L. Musher and S.S. Starobinets: Sov. Phys.-JETP 35, 926 (1972).
V.V. Zautkin and S.S. Starobinets: Fiz. Tverd. Tela 16, No 3, 678–686 (1974).
V.E. Zakharov and V.S. L’vov: Sov. Phys.-JETP 33, 1113–1119 (1971).
V.E. Zakharov, V.S. L’vov and S.L. Musher: Sov. Phys.-Solid State 14, 710 (1973).
V.E. Zakharov and V.S. L’vov: Sov. Phys.-Solid State 14, 2513 (1973).
V.S. L’vov: Sov. Phys.-Solid State 13, 2949 (1971).
V.S. L’vov and S.S. Starobinets: Sov. Phys.-Solid State 13, 418–425 (1971).
V.S. L’vov: Preprint No 68–72 (Institute for Nuclear Physics, Novosibirsk 1972).
V.S. L’vov and A.M. Rubenchik: Preprint No 1–72 (Institute for Nuclear Physics, Novosibirsk 1972).
V.S. L’vov, S.L. Musher and S.S. Starobinets: Sov. Phys.-JETP 37, 546 (1973).
V.S. L’vov, A.M. Rubenchik, V.S. Sobolev and V.S. Synakh: Fiz. Tverd. Tela 15, No 3, 793–800 (1973).
V.S. L’vov and A.M. Rubenchik: Nonlinear Theory of the Parametric Instability of Waves in a Plasma, Sov. Phys.-JETP 37, No 2, 263–268 (1973).
V.S. L’vov and M.I. Shirokov: Nonlinear Theory of Parametric Excitation of Spin Waves in Antiferromagnets, Sov. Phys.-JETP 40, 960 (1975).
T.S. Harvick, E.R. Peressini and M.T. Weiss: Subsidiary Resonance in YIG. J. Appl. Phys. 32, No 3, 223–224 (1961).
V.E. Zakharov, V.S. L’vov and S.S. Starobinets: Spin-Wave Turbulence Beyond the Parametric Excitation Threshold, Sov. Phys.-USP 17, 896 (1975).
V.V. Zautkin, V.S. L’vov, B.I. Orel and S.S. Starobinets: Sov. Phys.-JETP 72, 272–284 (1977).
V.S. L’vov and A.M. Rubenchik: Sov. Phys.-JETP 45, 67–74 (1977).
V.S. L’vov, V.B. Cherepanov: Highly Anisotropic Distributions of Parametrically Excited Waves in Near-Isotropic Media Sov. Phys.-JETP 49, 1145 (1979).
V.S. L’vov and G.E. Falkovich: On the Interaction of Parametrically Excited Spin Waves with Thermal Spin Waves, Sov. Phys.-JETP 55, No 5, 904–912 (1982).
V.V. Zautkin, V.S. L’vov, E.V. Podivilov: Sov. Phys. — JETP 96, 177 (1989).
V.G. Morozov and A.I. Muhay: Teor. Mat. Fiz. 51, 234 (1982).
A.S. Michailov: Zh. Eksp. Teor. Fiz. 69, No 2 (8), 523–524 (1975).
V.M. Tsukenic and P.M. Yankelevich: 68, No 6, 2116-2124 (1975).
I.A. Vinikovetsky, A.M. Frishman and V.M. Tsukemic: Zh. Eksp. Teor. Fiz. 76, 2110–2125 (1979).
A.S. Bakay: Zh. Eksp. Teor. Fiz. 74, No 3, 933–1004 (1978).
A.S. Michailov: Fiz. Tverd. Tela 18, No 2, 494–502 (1976).
B.Ya. Kotuyzhansky and L.A. Prozorova: Zh. Eksp. Teor. Fiz. Lett. 30, No 8, 430–432 (1971).
B.Ya. Kotuyzhansky, L.A. Prozorova: Zh. Eksp. Teor. Fiz. 62, No 6, 1199 (1972).
B.Ya. Kotuyzhansky and L.A. Prozorova: Zh. Eksp. Teor. Fiz. 65, No (6) 12, 2470–2478 (1973).
B.Ya. Kotuyzhansky, L.A. Prozorova: Zh. Eksp. Teor. Fiz. Lett. 32, 254 (1980).
B.Ya. Kotuyzhansky and L.A. Prozorova: Zh. Eksp. Teor. Fiz. 81, No 5, 1931 (1981).
B.Ya. Kotuyzhansky, L.A. Prozorova and L.E. Svistov: Zh. Eksp. Teor. Fiz., Lett. 37, No 12, 585–588 (1983).
B.Ya. Kotuyzhansky and L.A. Prozorova: Zh. Eksp. Teor. Fiz. 84, 658–664 (1984).
B.Ya. Kotuyzhansky, L.A. Prozorova and L.E. Svistov: Zh. Exsp. Teor. Fiz. 86, 1101–1116 (1984).
I.V. Krutsenko, V.S. L’vov, G.A. Melkov: Sov. Phys.— JETP 48, 561 (1978).
I.V. Krutsenko and G.A. Melkov: Fiz. Tverd. Tela 21, No 1, 271–274 (1979).
N.G. Kutuzoy and G.A. Melkov: Fiz. Tverd. Tela 17, No 3, 958–960 (1975).
A.V. Lavrinenko, V.S. L’vov, G.A. Melkov and V.B. Cherepanov: “Kinetic Instability” of a Strongly Nonequilibrium System of Spin Waves and Tunable Radiation of a Ferrite. Sov. Phys.— JETP 54, No 3, 542–549 (1981).
G.A. Melkov: Sov. Phys.— JETP 34, 198 (1972).
G.A. Melkov: Fiz. Tverd. Tela 17, No 6, 1728–1732 (1975).
V.L. Grankin, G.A. Melkov and V.A. Ruban: Fiz. Tverd. Tela 15, 632–634 (1973).
G.A. Melkov and V.L. Grankin: Sov. Phys.-JETP 42, 721 (1975).
G.A. Melkov: Zh. Eksp. Teor. Fiz. 70, 1324–1329 (1976).
G.A. Melkov and I.V. Krutsenko: Sov. Phys.-JETP 45, 295 (1977).
V.I. Ozhogin: Zh. Eksp. Teor. Fiz. 58, No 6, 2079–2089 (1970).
V.I. Ozhogin and A.Yu. Yakubovsky: Zh. Eksp. Teor. Fiz. 63, 2205 (1972).
V.I. Ozhogin and A.Yu. Yakubovsky: Zh. Eksp. Teor. Fiz. 67, No 1 (7), 287–308 (1974).
V.I. Ozhogin, S.M. Suleymanov and A.Yu. Yakovbovsky: Zh. Eksp. Teor. Fiz., Lett 32, 308–311 (1980).
V.I. Ozhogin, S.M. Suleymanov and A.Yu. Yakubovsky: Zh. Eksp. Teor. Fiz. Lett 34, No 11, 606–608 (1981).
B.I. Orel and S.S. Starobinets: Sov. Phys.-JETP 41, 154 (1975).
S.V. Petrov and A.I. Smirnov: Zh. Eksp. Teor. Fiz. 80, No 4, 1628–1638 (1981).
L.A. Prozorova, A.S. Borovik-Romanov: Zh. Eksp. Teor. Fiz., Lett. 10, 316 (1969).
L.A. Prozorova and A.I. Smirnov: Zh. Eksp. Teor. Fiz. 69, No 2 (8), 758–763 (1975).
L.A. Prozorova and A.I. Smirnov: Zh. Eksp. Teor. Fiz. 74, 1554–1561 (1978).
L.E. Svistov and A.I. Smirnov: Zh. Eksp. Teor. Fiz. 74, 1554–1561 (1978).
A.I. Smirnov: Zh. Eksp. Teor. Fiz. 73, 2255–2263 (1977).
A.I. Smirnov: Zh. Eksp. Teor. Fiz.,Lett. 27, 177–181 (1977).
A.I. Smirnov: Zh. Eksp. Teor. Fiz. 84, 2290–2305 (1983).
A.I Smirnov: Zh. Eksp. Teor. Fiz. 88, 1369–1381 (1985).
A.I. Smirnov: Zh. Eksp. Teor. Fiz. 90, 385–397 (1986); 94, No 5, 185-193 (1988).
V.S. L’vov: “Solitons and Nonlinear Phenomena in Parametrically Excited Spin Waves”, in Solitons, ed. by S.E. Trullinger, V.E. Zakharov and V.L. Pokrovsky, (Elsevier, Amsterdam 1986) Ch.5 pp 241–300.
V.S. L’vov and L.A. Prozorova: “Spin Waves Above the Threshhold of Paramagnetic Excitation”, in Spin Waves and Magnetic Excitation 1, ed. by A.S. Borovik-Romanov and S.K. Sinha, (Elsevier, Amsterdam 1988) Ch.4 pp. 233–285.
V.I. Belinicher and V.S. L’vov: Spin-diagram technique for non-equilibrium processes in the theory of magnetism, Sov. Phys.-JETP 59 564–571 (1984).
E. Schlömann: J.Appl.Phys. 33, No 2, 527–534 (1962).
P. Gottlib and H. Suhl: J.Appl.Phys. 33, No 4, 1508 (1962).
I.M. Halatnicov: Theory of Superfluidity, (Nauka, Moscow 1971) [in Russian].
V.S. L’vov: Lectures on Nonlinear Physics Phenomena (University of Novosibirsk Press., Novosibirsk 1977).
V.V. Zautkin, V.S. L’vov and E.V. Podivilov, Sov. Phys.-JETF 69, No 1, 177–185 (1989).
L.D. Landau and E.M. Lifshitz: Course of Theoretical Physics, Vol.5, Statistical Physics, Part 1 3rd Ed. (Pergamon, Oxford 1980).
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L’vov, V.S. (1994). Stationary Nonlinear Behavior of Parametrically Excited Waves. Basic S-Theory. In: Wave Turbulence Under Parametric Excitation. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75295-7_5
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DOI: https://doi.org/10.1007/978-3-642-75295-7_5
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