Link to some great Boltzmann page (?)

Boltzmann factor : exp(-E/kT), where E = energy, k = Boltzmann constant, T = kelvin temperature

• Boltzmann engine. Lets you put in different initial populations for the lowest three energy levels of a group of harmonic oscillators. The program randomly exchanges particles in different states of the harmonic oscillator to keep energy constant. It finds the maximum entropy after a number of trials and uses this for the next round of calculations. This process moves toward the Boltzmann distribution. Batch file. Executable file. [It is recommended to save both batch and exe files, then launch from the batch file. Sometimes launching the exe will lock up your pc.]
• Boltzmann engine in Excel. Does much like the pascal program just above but runs in Excel.

• PN junction simulation. Shows how a semiconductor diode works, using the boltzmann distribution for electrons on the n-side of the junction. Batch file. Executable file. [It is recommended to save both batch and exe files, then launch from the batch file. Sometimes launching the exe will lock up your pc.]

• Vapor pressure of water data. Maple file with data.

• Current-Voltage curve of a semiconductor diode Maple file with data.

Derivation of the Maxwell velocity distribution. The Maxwell distribution is an example of the boltzmann distribution when E=mv^2/2.