On the Evolution of the Classical One-Body Distribution Function
- 1 January 1967
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 46 (1) , 309-317
- https://doi.org/10.1063/1.1840386
Abstract
The BBGYK hierarchy of equations is separated into an equilibrium and a nonequilibrium hierarchy by a method of Mayer, and the nonequilibrium hierarchy is truncated at its lowest member by the assumption that the two‐body correlation function is given by its equilibrium value. This equation is solved formally by iteration in the case of small deviations from equilibrium, and the solution is partially summed to obtain a series in the strength of the potential. In the case of times not too distant from the initial time, the Fourier transform of this series is summed to give a solution in closed form.Keywords
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