Equation of State of a Self-gravitating Fluid with Rotating Particles

Mathematics – Mathematical Physics

Scientific paper

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Thermodynamics, Gravitation, Space Time Model, Momentum, Thermodynamic Processes, Conduction, Convection, Equations Of State, Relativity And Gravitation, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Momentum Conservation

Scientific paper

The equation of state for a system interacting via a gravitational potential, is obtained. The potential is naturally regular and bounded by effect of angular momentum. Microcanonical and canonical ensembles are studied, calculating their thermodynamic potential, finding the corresponding equation of state. Afterwards both ensembles are compared in the diluted regime showing explicitly their equivalence.

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