Linked from

The 22 pages that link to Equipartition theorem, each with the reason it gives.

• TemperatureRelated: It links temperature to average energy in classical systems.

• Kinetic theory of gasesRelated: It links translational molecular motion to temperature and heat capacity.

• Boltzmann constantRelated: The constant k sets the average thermal energy assigned to each degree of freedom.

• Effective temperatureCompared with: Its failure in driven systems warns against inferring one temperature from every mode.

• Internal energyRelated: It connects microscopic motion to the temperature dependence of internal energy.

• Ideal gasRelated: It connects gas temperature to particles’ average translational kinetic energy.

• Thermal energyRelated: It predicts how thermal energy is shared across molecular motions in suitable regimes.

• Maxwell–Boltzmann distributionRelated: It links the distribution’s average kinetic energy to temperature.

• Ultraviolet catastropheRelated: Applied to every electromagnetic mode, it supplies the energy that makes the classical prediction diverge.

• Canonical ensembleRelated: Canonical averages yield its familiar energy sharing in classical systems.

• Rayleigh–Jeans lawRelated: Applying equipartition to cavity modes gives each mode an average energy of kT.

• Debye modelCompared with: The model departs from classical equipartition when vibrational energy quanta exceed thermal energy.

• Absolute temperatureRelated: The theorem directly links kelvin temperature to average microscopic energy.

• Ergodic hypothesisRelated: Its equilibrium averages are often connected to long-time measurements through ergodic assumptions.

• Maxwell–Boltzmann statisticsRelated: It derives familiar mean energies from the classical equilibrium distribution.

• Thermal fluctuationsRelated: It links temperature to the average energy available for fluctuating degrees of freedom.

• Dulong–Petit lawRelated: Each atom’s three-dimensional vibrations contribute six quadratic terms, yielding an average energy of 3RT per mole.

• Classical statistical mechanicsRelated: It converts quadratic terms in classical energy into contributions to heat capacity.

• Einstein solidCompared with: Its low-temperature failure for solids motivated quantizing vibrational energy.

• Debye T³ lawCompared with: Its classical prediction differs from the quantum low-temperature behavior captured by the T³ law.

• Kopp's lawRelated: It underlies the high-temperature reasoning behind elemental heat-capacity estimates related to Kopp's rule.

• Planck postulateCompared with: Its continuous energy assumption leads to the spectrum’s ultraviolet failure.