20 citations · 47 across the 6 of their papers we have counts for
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Boltzmann Equation Field Theory I: Ensemble Averages
Jun Yan Lau
I present an unbiased method of mapping particles to distribution functions and vice versa. This method alone defines the canonical formulation of statistical mechanics, since it c…
Modes of a stellar system II: non-ergodic systems
Jun Yan Lau, James Binney
An equation is derived for the energy of a small disturbance in a system that is generated by a distribution function (DF) of the form $f(\vJ)$ -- most galaxies and star clusters c…
Probabilistic distribution functions
Jun Yan Lau, James Binney
Observed clusters should be modelled by considering the distribution function to be a random variable that quantifies the degree of excitation of the system's normal modes. A syste…
Modes of a stellar system I: ergodic systems
Jun Yan Lau, James Binney
The excursions of star clusters and galaxies around statistical equilibria are studied. For a stable ergodic model Antonov's Hermitian operator on six-dimensional phase space has t…
Relaxation of spherical stellar systems
Jun Yan Lau, James Binney
10,000 simulations of 1000-particle realisations of the same cluster are computed by direct force summation. Over three crossing times the original Poisson noise is amplified more…