Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-10-14
Physics
Condensed Matter
Statistical Mechanics
5 pages, 0 figures
Scientific paper
The microcanonical partition function for self-gravitational system in three dimensional case has been found. Used approach from the field theory of statistical description of the system was tailored to gravitational interacting particles with regard for an arbitrary spatially inhomogeneous particle distribution. The entropy of self-gravitational system has been found from extreme condition for the effective functional. For inhomogeneous distribution particle (formation few cluster of finite size) the entropy are bigger as the entropy homogeneous distribution of particles. The increasing of entropy of self-gravitational system after formation cluster motive tendency to disperse.
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