equipartition theorem
law of equipartition of energy

The average temperature of a star can be estimated from the equipartition theorem.

Ideal gases provide an important application of the equipartition theorem.

For comparison, the value predicted by the equipartition theorem is shown in black.

This quantity is related to the spring constant by means of the equipartition theorem.

Such oscillators provide a complementary point of view on the equipartition theorem.

At equilibrium, the spring stores an average energy in accordance with the equipartition theorem.

Thus the equipartition theorem for systems with quadratic energies follows easily from the general formula.

This holds true for quadratic degrees of freedom, a consequence of the equipartition theorem.

Although the equipartition theorem makes very accurate predictions in certain conditions, it becomes inaccurate when quantum effects are significant, such as at low temperatures.

An important application of the equipartition theorem is to the specific heat capacity of a crystalline solid.

All of the diatomics examined have heat capacities that are lower than those predicted by the equipartition theorem, except Br.

In classical statistical mechanics, the equipartition theorem is a general formula that relates the temperature of a system with its average energies.

The equipartition theorem makes quantitative predictions.

The equipartition theorem provides a convenient way to derive the corresponding laws for an extreme relativistic ideal gas.

At least for particles moving for short times in a gas, the equipartition theorem holds-the only environmental factor that affects it is the temperature.

The probability that an atom is in state is related to the number of states in the reservoir - from Equipartition theorem.

The history of the equipartition theorem is intertwined with that of specific heat capacity, both of which were studied in the 19th century.

(for the equipartition theorem), electrons have a mass roughly 1800 times smaller than protons, therefore they acquire more velocity.

The equipartition theorem states that the mean energy that is stored in this "spring" is equal to per degree of freedom.

This explains the failure of the classical equipartition theorem for metals that eluded classical physicists in the late 19th century.

Experimental observations of the specific heat capacities of gases also raised concerns about the validity of the equipartition theorem.

Lord Kelvin suggested that the derivation of the equipartition theorem must be incorrect, since it disagreed with experiment, but was unable to show how.

The equipartition theorem can be used to derive the Brownian motion of a particle from the Langevin equation.

Since the equipartition theorem follows:

Contrary to the classical equipartition theorem, at room temperature, the vibrational motion of molecules typically makes negligible contributions to the heat capacity.