Boltzmann equation approach to the N-body problem with masses varying according to the Eddington-Jeans law |
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Authors: | A R Plastino J C Muzzio |
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Institution: | (1) Facultad de Ciencias Astronómicas y Geofísicas de la Universidad Nacional de La Plata, Comisión de Investigaciones Científicas de la Provincia de Buenos Aires, Argentina;(2) Facultad de Ciencias Astronómicas y Geofísicas de la Universidad Nacional de La Plata, Consejo Nacional de Investigaciones Científicas y Técnicas de la República Argentina, Argentina |
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Abstract: | We study special aspects of the N-body problem with masses varying according to the Eddington-Jeans law with powers n=2 and 3. Our main result is that a particular set of variables can be found that allows one to write the pertinent Boltzmann and Poisson equations in a fashion similar to that corresponding to the usual fixed mass situation. |
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Keywords: | Variable mass Boltzmann equation Galaxies Star clusters |
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