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Chaotic Stellar Dynamics During Collective Interactions

Published online by Cambridge University Press:  12 April 2016

D. Subbarao  and
R. Uma
D. Subbarao
Affiliation:
Fusion Studies Program(Centre of Energy Studies)
R. Uma
Affiliation:
Department of Physics, Indian Institute of Technology, Delhi-110016, India

Abstract

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We prove a basic result for collisionless galactic models that collective motion not only introduces Landau damping but also intrinsic chaos of typical star dynamics in the phase plane when a small perturbative wave disturbance is present. The Melnikov method is used; the consequences of the chaos and quasilinear diffusion are pointed out.

Type
Part I Chaos
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 67 - 72
Copyright
Copyright © Nova Science Publishers 1993

References

[1] Binney, J. and Tremaine, S. (Princeton University Press, Princeton, 1987).Google Scholar
[2] James Binney, , ‘Stellar Dynamics in Evolution of Galaxies Astronomical Observations p.95 (Springer, Berlin, 1988).Google Scholar
[3] William Saslaw, , ‘Gravitational Physics of Stellar and Galactic Systems’. (Cambridge University Press, Cambridge, 1985).Google Scholar
[4] Fridman, A.M. and Polyachenko, V.L., ‘Physics of Gravitating Systems’, Vols. I&II (Springer, New York, 1984).Google Scholar
[5] Lichtenberg, A.J. and Lieberman, M.A. “Regular and Stochastic Motion”, (Springer, New York, 1983).Google Scholar
[6] Guckenheimer, J. and Philip Holmes, “Nonlinear Oscillattions, Dynamical Systems and Bifurcations of Vector Fields” (Springer, New York, 1983).Google Scholar
[7] Wu, Ta-You “Kinetic Equations of Gases and Plasmas“ (Addison Wesley, Reading, 1966). Section 5. 8, p.138.Google Scholar
[8] Case, K.M. and Zwifel, P.F. “Linear Transport Theory” (Addison Wesley, Reading, 1967).Google Scholar
[9] Case, K.M., Phys. Fluids, 21, 2499 (1978).Google Scholar
[10] Petrosky, T.Y., Phys.Rev. A32, 3716 (1985).Google Scholar
[11] Uma, R. and Subbarao, D., Phys. Fluids, 82, 1154 (1990).Google Scholar
[12] Dewar, R.L., J. Phys. A9, 2043(1976).Google Scholar
[13] Uma, R. and Subbarao, D., Bull. Am. Phys. Soc.35, Nov.1990(In Press)Google Scholar
[14] Toomre, A., Ann. Rev, Astron. Astrophysics. 15, 437–478 (1977) (see particularly the work of Hunter) (1969) referred here); also Lin, C.C and Bertin, G. “ Galatic Dynamics and Gravitational Plasmas” in Advances Applied Mechanics 24, Ed. Hutchinson, John W. and Theodore, Y.Wu (Academic, Orlando, 1984).Google Scholar
[15] Krall, N.A. and Trivelpiece, H.W., “Principles of Plasma Physics” (McGraw Hill, New York, 1966)(last chapter).Google Scholar
[16] Dana, I., Murray, N.W. and Percival, I.C., Phys.Rev.Lett. 62, 233 (1989) Google Scholar
[17] Balescu, R., “Statistical Mechanics of Charged Particles” (Interscience, New York, (1963)).Google Scholar