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Stochastic equations arising from test particle problems

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  • Kagermann, H.

Abstract

As a model for resonant wave-wave interaction three nonlinearly coupled oscillators in a harmonic lattice are considered. Using a stochastic description the influence of the nonresonant oscillators on the energy transfer is studied in the weak coupling limit. Conditions for amplitude and energy instability and the stationary solutions are discussed.

Suggested Citation

  • Kagermann, H., 1982. "Stochastic equations arising from test particle problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 199-206.
    • Handle: RePEc:eee:phsmap:v:116:y:1982:i:1:p:199-206
    DOI: 10.1016/0378-4371(82)90238-2
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    References listed on IDEAS

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    1. Micheline Thomine-Desmazures, 1965. "L'investigation psychosociologique en milieu rural," Économie rurale, Programme National Persée, vol. 64(1), pages 19-24.
    2. Gerlich, G. & Kagermann, H., 1977. "Herleitung kinetischer gleichungen mit dem verallgemeinerten Stratonovich-Verfahren," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(2), pages 283-304.
    3. Rodríguez, R.F. & Van Kampen, N.G., 1976. "Systematic treatment of fluctuations in a nonlinear oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 347-362.
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