The classical law of energy distribution

If we raise the temperature of a gas, for example by supplying energy to it by means of a Bunsen flame, the atoms or molecules will be excited by thermal agitation. This thermal energy is, however, not equally divided, and some will have more energy than others. The classical Maxwell-Boltzmann law of distribution of energies states that, in a gas in thermal equilibrium at temperature T, the number of molecules of energy E is proportional to e~ElkT.

number with energy E-,

number with energy E2

e-Ed kT

e -E2IkT

We will now apply the same distribution law to oscillators instead of molecules.

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