Statistical mechanics and thermodynamic limit of self-gravitating fermions in D dimensions.

@article{Chavanis2004StatisticalMA,
title={Statistical mechanics and thermodynamic limit of self-gravitating fermions in D dimensions.},
author={Pierre-Henri Chavanis},
journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
year={2004},
volume={69 6 Pt 2},
pages={066126}
}

We discuss the statistical mechanics of a system of self-gravitating fermions in a space of dimension D. We plot the caloric curves of the self-gravitating Fermi gas giving the temperature as a function of energy and investigate the nature of phase transitions as a function of the dimension of space. We consider stable states (global entropy maxima) as well as metastable states (local entropy maxima). We show that for D> or =4, there exists a critical temperature (for sufficiently large systems… CONTINUE READING