Predicting Collisionless Equlibria in Dark Matter Simulations
DOI:
https://doi.org/10.17307/wsc.v0i0.150Keywords:
self-gravitation, equilibriumAbstract
By using a transformation from phase-space variables to a set of orthogonal Hermite-Legendre polynomials, the dynamics of one-dimensional self-gravitating systems has been reduced to a linear set of equations. This transformation changes the long-range forces into local interactions in the new problem. This makes it possible to determine the steady-state solutions by projecting the initial conditions into the time-independent solutions.
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