The Partition Function of a Spinor Gas

Details The Partition Function of a Spinor Gas The Partition Function of a Spinor Gas

2000-01-20

arxiv.org/abs/cond-mat/0001286v1

Physics

Condensed Matter

Statistical Mechanics

Revtex + 8 postscript figures. Accepted for publication in Phys. Rev. E (March 1, 2000) E-mail addresses: lcnlmmns@ruca.ua.ac.

Scientific paper

10.1103/PhysRevE.61.3358

For a spinor gas, i.e., a mixture of identical particles with several internal degrees of freedom, we derive the partition function in terms of the Feynman-Kac functionals of polarized components. As an example we study a spin-1 Bose gas with the spins subjected to an external magnetic field and confined by a parabolic potential. From the analysis of the free energy for a finite number of particles, we find that the specific heat of this ideal spinor gas as a function of temperature has two maxima: one is related to a Schottky anomaly, due to the lifting of the spin degeneracy by the external field, the other maximum is the signature of Bose-Einstein condensation.

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