Critical phenomena in a model collisionless self-gravitating system

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Astronomical Models, Celestial Mechanics, Galactic Evolution, Gravitational Effects, Many Body Problem, Disk Galaxies, Spiral Galaxies, Stellar Systems

Scientific paper

Using an N-body particle-mesh algorithm, a model collisionless self-gravitating system is simulated in a marginally stable state and in its neighborhood. The properties of fluctuations and the dynamics of the response of the system to some imposed gravitational field are studied. The results show a large discrepancy between the critical dynamics and the equilibrium ones. The main conclusions are: (i) the fluctuations of the Jeans length grow considerably while others remain small; (ii) the system under forcing of some external field, consisting of a number of spatial harmonics, responds most effectively to the component of Jeans length, and this mode is excited as a reaction; (iii) for the Jeans mode the acceptability, defined as the ratio of the excited amplitude to the amplitude of the same harmonic of the field, diverges as a power law; and (iv) when the state is exactly critical, the response of the density depends on the strain of the drive field.

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