statistical mechanics, the equipartition theorem relates the temperature of a system to its average energies. The equipartition theorem is also known as the...

In information theory, the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source. It is fundamental...

of freedom can be defined, each with a different value. By the equipartition theorem, internal energy per mole of gas equals cv T, where T is absolute...

is related to the temperature of the system by the equipartition theorem. However, the virial theorem does not depend on the notion of temperature and holds...

almost exactly to the value predicted by the Equipartition Theorem, since in the high-temperature limit the theorem predicts that the vibrational degree of...

second law, and the second line uses Hamilton's equations and the equipartition theorem. Summing over a system of N particles yields 3 N k B T = − ⟨ ∑ k...

sum up to the caloric component of a fluid's internal energy (the equipartition theorem). This motion is named after the Scottish botanist Robert Brown...

excitation. These formulas arise from application of the classical equipartition theorem to the translational and rotational degrees of freedom. That U for...

ℏ G {\displaystyle N={\frac {Ac^{3}}{\hbar G}}} The statistical equipartition theorem defines the temperature T {\displaystyle T} of a system with N {\displaystyle...

In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for...

thermodynamics Green–Kubo relations Onsager reciprocal relations Equipartition theorem Boltzmann distribution Dissipative system Frenesy H.B. Callen; T...

In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified...

Leeuwen theorem (physics) Crooks fluctuation theorem (physics) Crystallographic restriction theorem (group theory, crystallography) Equipartition theorem (ergodic...

all available degrees of freedom; this is in accordance with the equipartition theorem, so all available internal degrees of freedom have the same average...

In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...

Rayleigh–Jeans law based on classical physical arguments, relying upon the equipartition theorem. This law predicted an energy output that diverges towards infinity...

The enthalpy of sublimation has commonly been predicted using the equipartition theorem. If the lattice energy is assumed to be approximately half the packing...

derived from statistical mechanics; for more details, see: The equipartition theorem requires that kinetic energy is partitioned equally between all...

phase transition during a chemical reaction). According to the equipartition theorem, the change in internal energy is related to the temperature of...

Asymptotic equipartition property (AEP) Fano's inequality Rate–distortion theory Shannon's source coding theorem Shannon–Hartley theorem Turbo code Sae-Young...

vibrational modes to eventually appear with equal strength, as per the equipartition theorem, or, more generally, the ergodic hypothesis. Yet here was a system...

through the classical mechanics of the microscopic particles. The equipartition theorem of kinetic theory asserts that each classical degree of freedom...

^{2}k_{\mathrm {B} }T}{c^{2}}}.} This formula is obtained from the equipartition theorem of classical statistical mechanics which states that all harmonic...

{\text{and}}\quad C_{V}={\frac {nR}{\gamma -1}},} The classical equipartition theorem predicts that the heat capacity ratio (γ) for an ideal gas can be...

frequency ν, the average thermal energy can be estimated using the equipartition theorem as E = 4 π 2 m ν 2   u 2 = k B T {\displaystyle E=4\pi ^{2}m\nu...

{\displaystyle C_{V}=(3/2)nR} , a constant. Moreover, the classical equipartition theorem predicts that all ideal gases (even polyatomic) have constant heat...

appropriate use of Planck's law. Classical physics led, via the equipartition theorem, to the ultraviolet catastrophe, a prediction that the total blackbody...

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

gets ever closer to 0.4180233. Asymptotic equipartition property Central limit theorem Infinite monkey theorem Keynes' Treatise on Probability Law of averages...

(electronic excitation is not important at room temperature). Thus by the equipartition theorem, the kinetic energy of a single atom of a monatomic gas at thermodynamic...