Abstract
The coupling between collective and individual modes for a meta-equilibrium one-dimensional gravitating gas is studied. The one-dimensional water-bag model allows the calculation of the theoretical values of these modes and they are compared with those obtained by simulations realised with an N Body code. Finally the influence on the time evolution and stability of holes localised in the water-bag equilibrium is numerically investigated.
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References
Bertrand, P., Feix, M.R. (1968): Non-Linear Electron Plasma Oscillation, the Water-Bag Model. Phys. Letters 28 A, 68
De Pack, D.C. (1962): The Water-Bag Model of a Sheet Electron Beam. J. Electron. Control 13, 417–424
Feix, M.R. (1969): Non-Linear Effects in Plasmas, Kalman, G., Feix, M.R. eds. (Gordon and Breach, New-York), 515–157
Hohl, F., Feix, M.R. (1967): Numerical Experiments with a One-Dimensional Model for a Self-Gravitating Star System. ApJ 147, 1164–1180
Luwel, M., Severne, G. (1985): Collisionless Mixing in 1-Dimensional Gravitational Systems Initially in a Stationary Waterbag Configuration. A&A 152, 305–314
Lynden-Bell, D. (1967): Statistical Mechanics of Violent Relaxation in Stellar Systems. MNRAS 136 (1), 101–121
Mineau, P., Feix, M.R., Rouet, J.L (1990): Numerical Simulations of Violent Relaxations and Formation of Phase Space Holes in Gravitational Systems. A&A 228, 344–349
Press W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992): Numerical Recipes (Cambridge University Press, Melbourne), 745–753
Rouet, J.L (1989): Simulations Numériques: Problèmes à N Corps pour les Systèmes Auto-gravitants et les Plasmas, Thèse de l'Université d'Orléans
Rouet, J.L., Feix, M.R. (1991): Relaxation for One-Dimensional Plasma: Test Particles Versus Global distribution behavior. Phys. Fluids B 3, 1830–1834
Rouet, J.L, Feix, M.R. (1996): Computer Experiments on Dynamical Cloud and Space-Time Fluctuations in One-Dimensional Meta-Equilibrium Plasmas. Phys. Plasmas 3 (7), 2538–2545
Yamashiro, T., Gouda, N., Sakagami, M. (1992): One-Dimensional Self-Gravitating System. Progress Theor. Phys. 88, 269–282
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© 1999 Springer-Verlag
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Rouet, JL., Feix, M.R. (1999). Fluctuations of the kinetic energy and stability of coherent structures in a one-dimensional gravitating gas: Numerical simulation. In: Leach, P.G.L., Bouquet, S.E., Rouet, JL., Fijalkow, E. (eds) Dynamical Systems, Plasmas and Gravitation. Lecture Notes in Physics, vol 518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105924
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DOI: https://doi.org/10.1007/BFb0105924
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