-
Article
Violent relaxation and mixing in non-uniform one-dimensional gravitational systems
A series of numerical experiments on non-uniform one-dimensional gravitational systems have been performed with the aim of testing the conflicting models of violent relaxation, developed by Lynden-Bell and by ...
-
Article
Book reviews
-
Chapter
Collisional Relaxation: A New Approach
Recent numerical simulations for 1-dimensional systems have shown that the relaxation time due to encounters is far shorter than the generally accepted estimate. To account for this, a new approach to the theo...
-
Article
Numerical study of the relaxation of one-dimensional gravitational systems
The effective relaxation of one-dimensional gravitational systems towards micro-canonical equilibrium is demonstrated in a series of computer experiments, the Kolmogorov-Smirnov goodness of fit test being used...
-
Article
Dynamical theory of collisionless relaxation
In his theory of violent relaxation, Lynden-Bell gave a rigorous derivation of the equilibrium distribution, but only a qualitative discussion of the manner in which equilibrium is attained Here we present a f...
-
Article
Delocalization effect on the relaxation of inhomogeneous gravitational systems
The correct description of encounters in anN-body gravitational system introduces a variety of effects which are ignored in the standard discussions of the relaxation proces. The present parer gives an evaluation...
-
Article
Kinetic theory for finite inhomogeneous gravitational systems
A kinetic theory for finite inhomogeneous gravitational systems is developed, starting from the BBGKY hierarchy of equations for the reduced distribution functions. Polarization effects are ignored, and a ‘pro...
-
Article
Vibrations of inhomogeneous non-rotating gravitational systems
Dispersion relations are obtained and analysed for a non-uniform, non-rotating gravitational system. A restriction to short wavelengths makes it possible to consider a linearized form of the collisionless Bolt...
-
Article
Monotonic evolution of Boltzmann's H in weakly coupled gravitational systems
GASES with gravitational interactions are expected to evolve away from a state of uniform density and temperature1,2. Such behaviour has been strikingly confirmed by numerical experiments on small gravitational s...