Java Statistical Distributions

This program calculates the distribution functions for M particles in a spherical harmonic oscillator. All three distributions are shown: Bose-Einstein, Fermi-Dirac and Maxwell-Boltzman. Bose-Einstein statistics apply to identical bosons (integer spin). Fermi-Dirac to identical fermions (half integer spin). Classical statistics are Maxwell-Boltzman applies when the particles are not identical.

The slider varies the temperature and the number of particles, M, is a menu. The graph then shows the population as a function of energy. Shown on the upper right are the temperature (units of trap energy hbar omega), the energy that has the maximum population and the population at this energy.

At high temperatures the distributions are much the same. For low temperatures Bosons form a condensate. These condisates have been seen in the lab and are the subject of much current research. At 25K the Bose-Einstein is just starting to form a condensate for 10,000 particles.

Fermions act just the oppisite and instead avoid each other. Only one fermion may be in each state. You can see this at low temperatures as the population goes to the degeneracy of the energy. White Dwarfs and Neutron Stars are supported by this degeneracy pressure.

( source)

alt="Your browser understands the <APPLET> tag but isn't running the applet, for some reason." Your browser is completely ignoring the <APPLET> tag!