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This animation allows you to change the total number of particles and the total energy of a particular system of 11 boxes, each with an energy of 0 to 10. Restart. You can also change the number of states in a box currently set to 40. To make a change, you must push return (so the input box is no longer yellow) and you must push the "Set Value and Run" button. The animation calculates the values of α and β in the following expressions so that the total energy is constant and the total number of particles is constant (β = 1/k_{B}T for all distributions):
Bose-Einstein | n_{i} = g/(exp(α + βε_{i}) - 1) |
Fermi-Dirac | n_{i} = g/(exp(α + βε_{i}) + 1) |
Maxwell-Boltzmann (Classical) | n_{i} = g/exp(α + βε_{i}) |
where n_{i} is the number of particles in region in phase space, ε_{i }is the energy of that region (or box) and g is the number of states per box, also called a density of states.
Problem by Anne J. Cox
Script by Anne J. Cox and William F. Junkin III
Applet built using
EJS (Francisco
Esquembre), Open Source Libraries