This function is the ensemble average of the Klimontovich density.
This function may be computed for systems with spherical symmetry using the hypernetted-chain or Percus-Yevick equations. This function may be written solely in terms of integrals of motion for systems in equilibrium with regular orbits, according to the strong Jeans ("jeans") theorem. The time constant of Landau damping is proportional to the derivative of this function with respect to velocity. This function's time derivative equals the negative of its Poisson bracket with the Hamiltonian. This function is the ensemble average of the Klimontovich density. Decreasing the number of degrees of freedom by six and integrating the Liouville equation produces an equation for this function of s particles in terms of this function of "s plus one" particles. For 10 points, name this function that gives the number of particles per unit volume in phase space and obeys Maxwell-Boltzmann statistics in the kinetic theory of gases.
This function may be computed for systems with spherical symmetry using the hypernetted-chain or Percus-Yevick equations.
particle distribution function [accept radial distribution function or pair distribution function or pair correlation function; prompt on probability density function or PDF; prompt on correlation function before "integrals of motion" but do not prompt therea睌ter; do not accept "cumulative distribution function" or "CDF"]