51. Phase transitions for an ideal Bose condensate trapped in a quartic potential
- Author
-
Jizhou He and J.H. Wang
- Subjects
Condensed Matter::Quantum Gases ,Quantum phase transition ,Physics ,Phase transition ,Condensed matter physics ,Particle number ,Bose gas ,Atomic and Molecular Physics, and Optics ,law.invention ,law ,Quantum mechanics ,Quartic function ,Thermodynamic limit ,Ideal (ring theory) ,Bose–Einstein condensate - Abstract
Based on the classification scheme of phase transitions, we study the phase transitions for an ideal Bose gas with a finite number of particles confined in a three-dimensional quartic trap. We show that the phase transition of an ideal Bose gas in the three-dimensional quartic trap is of third order for finite particle numbers, quite different from the fact that the phase transition is of first order in the thermodynamic limit. We discuss the effects of finite particle numbers on the nature of the phase transitions, and determine the dependence of transition temperature on particle number.
- Published
- 2011