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This behavior is very different from the expected equipartition of energy.
The latter application was particularly significant in the history of equipartition.
They found that the behavior of the system was quite different from what intuition based on equipartition would have led them to expect.
The average temperature of a star can be estimated from the equipartition theorem.
On the other hand, equipartition often breaks down for such systems, because there is no exchange of energy between the normal modes.
For comparison, the value predicted by the equipartition theorem is shown in black.
Ideal gases provide an important application of the equipartition theorem.
This quantity is related to the spring constant by means of the equipartition theorem.
Hence, equipartition does not hold for such a system; the amount of energy in each normal mode is fixed at its initial value.
Such oscillators provide a complementary point of view on the equipartition theorem.
Equipartition does not hold, even at high temperatures, if the energy is not quadratic.
At equilibrium, the spring stores an average energy in accordance with the equipartition theorem.
Compare with the value computed using the equipartition theorem.
It is shown that the new results differ from those reported when equipartition is obeyed.
Several explanations of equipartition's failure to account for molar heat capacities were proposed.
A basic axiom for us will be the "Equipartition Theorem".
Equipartition was used above to derive the classical ideal gas law from Newtonian mechanics.
Heat capacities: variation with T, equipartition of energy.
This is called the fully quantum asymptotic equipartition theorem.
Thus the equipartition theorem for systems with quadratic energies follows easily from the general formula.
The enthalpy of sublimation has commonly been predicted using the equipartition theorem.
Einstein used the failure of equipartition to argue for the need of a new quantum theory of matter.
An important application of the equipartition theorem is to the specific heat capacity of a crystalline solid.
This holds true for quadratic degrees of freedom, a consequence of the equipartition theorem.
Develops equipartition between radiation and matter (1905)
