Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Equipartition_theorem> ?p ?o }
- Equipartition_theorem abstract "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 is also known as the law of equipartition, equipartition of energy, or simply equipartition. The original idea of equipartition was that, in thermal equilibrium, energy is shared equally among all of its various forms; for example, the average kinetic energy per degree of freedom in the translational motion of a molecule should equal that of its rotational motions.The equipartition theorem makes quantitative predictions. Like the virial theorem, it gives the total average kinetic and potential energies for a system at a given temperature, from which the system's heat capacity can be computed. However, equipartition also gives the average values of individual components of the energy, such as the kinetic energy of a particular particle or the potential energy of a single spring. For example, it predicts that every atom in a monatomic ideal gas has an average kinetic energy of (3/2)kBT in thermal equilibrium, where kB is the Boltzmann constant and T is the (thermodynamic) temperature. More generally, it can be applied to any classical system in thermal equilibrium, no matter how complicated. The equipartition theorem can be used to derive the ideal gas law, and the Dulong–Petit law for the specific heat capacities of solids. It can also be used to predict the properties of stars, even white dwarfs and neutron stars, since it holds even when relativistic effects are considered.Although the equipartition theorem makes very accurate predictions in certain conditions, it becomes inaccurate when quantum effects are significant, such as at low temperatures. When the thermal energy kBT is smaller than the quantum energy spacing in a particular degree of freedom, the average energy and heat capacity of this degree of freedom are less than the values predicted by equipartition. Such a degree of freedom is said to be "frozen out" when the thermal energy is much smaller than this spacing. For example, the heat capacity of a solid decreases at low temperatures as various types of motion become frozen out, rather than remaining constant as predicted by equipartition. Such decreases in heat capacity were among the first signs to physicists of the 19th century that classical physics was incorrect and that a new, more subtle, scientific model was required. Along with other evidence, equipartition's failure to model black-body radiation—also known as the ultraviolet catastrophe—led Max Planck to suggest that energy in the oscillators in an object, which emit light, were quantized, a revolutionary hypothesis that spurred the development of quantum mechanics and quantum field theory.".
- Equipartition_theorem thumbnail Thermally_Agitated_Molecule.gif?width=300.
- Equipartition_theorem wikiPageExternalLink ex20_4.html.
- Equipartition_theorem wikiPageExternalLink StellarEquipartition.
- Equipartition_theorem wikiPageID "516133".
- Equipartition_theorem wikiPageLength "86762".
- Equipartition_theorem wikiPageOutDegree "306".
- Equipartition_theorem wikiPageRevisionID "682918859".
- Equipartition_theorem wikiPageWikiLink Acceleration.
- Equipartition_theorem wikiPageWikiLink Albert_Einstein.
- Equipartition_theorem wikiPageWikiLink Alexis_Thérèse_Petit.
- Equipartition_theorem wikiPageWikiLink Angular_velocity.
- Equipartition_theorem wikiPageWikiLink Approximation_error.
- Equipartition_theorem wikiPageWikiLink Astrophysics.
- Equipartition_theorem wikiPageWikiLink Atomic_mass_unit.
- Equipartition_theorem wikiPageWikiLink Atomic_weight.
- Equipartition_theorem wikiPageWikiLink Avogadro_constant.
- Equipartition_theorem wikiPageWikiLink Beer.
- Equipartition_theorem wikiPageWikiLink Black-body_radiation.
- Equipartition_theorem wikiPageWikiLink Blackbody_radiation.
- Equipartition_theorem wikiPageWikiLink Boltzmann_constant.
- Equipartition_theorem wikiPageWikiLink Boltzmann_distribution.
- Equipartition_theorem wikiPageWikiLink Boltzmann_factor.
- Equipartition_theorem wikiPageWikiLink Bose–Einstein_condensate.
- Equipartition_theorem wikiPageWikiLink Brownian_motion.
- Equipartition_theorem wikiPageWikiLink Buoyancy.
- Equipartition_theorem wikiPageWikiLink Buoyant_mass.
- Equipartition_theorem wikiPageWikiLink Calorie.
- Equipartition_theorem wikiPageWikiLink Canonical_coordinate.
- Equipartition_theorem wikiPageWikiLink Canonical_coordinates.
- Equipartition_theorem wikiPageWikiLink Canonical_ensemble.
- Equipartition_theorem wikiPageWikiLink Category:Concepts_in_physics.
- Equipartition_theorem wikiPageWikiLink Category:Laws_of_thermodynamics.
- Equipartition_theorem wikiPageWikiLink Category:Statistical_mechanics_theorems.
- Equipartition_theorem wikiPageWikiLink Chandrasekhar_limit.
- Equipartition_theorem wikiPageWikiLink Chaos_theory.
- Equipartition_theorem wikiPageWikiLink Circular_symmetry.
- Equipartition_theorem wikiPageWikiLink Classical_mechanics.
- Equipartition_theorem wikiPageWikiLink Classical_physics.
- Equipartition_theorem wikiPageWikiLink Configuration_space.
- Equipartition_theorem wikiPageWikiLink Conjugate_momentum.
- Equipartition_theorem wikiPageWikiLink Conservative_force.
- Equipartition_theorem wikiPageWikiLink Continuum_(measurement).
- Equipartition_theorem wikiPageWikiLink Continuum_(theory).
- Equipartition_theorem wikiPageWikiLink Dalton_(unit).
- Equipartition_theorem wikiPageWikiLink Debye_model.
- Equipartition_theorem wikiPageWikiLink Degenerate_matter.
- Equipartition_theorem wikiPageWikiLink Degrees_of_freedom_(physics_and_chemistry).
- Equipartition_theorem wikiPageWikiLink Density.
- Equipartition_theorem wikiPageWikiLink Density_of_states.
- Equipartition_theorem wikiPageWikiLink Diamond.
- Equipartition_theorem wikiPageWikiLink Dielectric_spectroscopy.
- Equipartition_theorem wikiPageWikiLink Differential_equation.
- Equipartition_theorem wikiPageWikiLink Diffusion.
- Equipartition_theorem wikiPageWikiLink Divergence.
- Equipartition_theorem wikiPageWikiLink Divergence_theorem.
- Equipartition_theorem wikiPageWikiLink Drag_(physics).
- Equipartition_theorem wikiPageWikiLink Drude_model.
- Equipartition_theorem wikiPageWikiLink Dulong–Petit_law.
- Equipartition_theorem wikiPageWikiLink Dynamical_billiards.
- Equipartition_theorem wikiPageWikiLink Dynamical_system.
- Equipartition_theorem wikiPageWikiLink Earths_gravity.
- Equipartition_theorem wikiPageWikiLink Effusion.
- Equipartition_theorem wikiPageWikiLink Einstein_solid.
- Equipartition_theorem wikiPageWikiLink Electromagnetic_field.
- Equipartition_theorem wikiPageWikiLink Electronic_oscillator.
- Equipartition_theorem wikiPageWikiLink Electronvolt.
- Equipartition_theorem wikiPageWikiLink Energy.
- Equipartition_theorem wikiPageWikiLink Enriched_uranium.
- Equipartition_theorem wikiPageWikiLink Enrico_Fermi.
- Equipartition_theorem wikiPageWikiLink Ensemble_average.
- Equipartition_theorem wikiPageWikiLink Entropy.
- Equipartition_theorem wikiPageWikiLink Ergodic.
- Equipartition_theorem wikiPageWikiLink Ergodic_hypothesis.
- Equipartition_theorem wikiPageWikiLink Ergodic_theory.
- Equipartition_theorem wikiPageWikiLink Ergodicity.
- Equipartition_theorem wikiPageWikiLink Euclidean_vector.
- Equipartition_theorem wikiPageWikiLink Exponential_function.
- Equipartition_theorem wikiPageWikiLink Fermionic_condensate.
- Equipartition_theorem wikiPageWikiLink Fermi–Pasta–Ulam_problem.
- Equipartition_theorem wikiPageWikiLink File:Translational_motion.gif.
- Equipartition_theorem wikiPageWikiLink Flow_birefringence.
- Equipartition_theorem wikiPageWikiLink Fluorescence_anisotropy.
- Equipartition_theorem wikiPageWikiLink Fundamental_frequency.
- Equipartition_theorem wikiPageWikiLink Gas_constant.
- Equipartition_theorem wikiPageWikiLink Generalized_momentum.
- Equipartition_theorem wikiPageWikiLink Geometric_series.
- Equipartition_theorem wikiPageWikiLink George_Gamow.
- Equipartition_theorem wikiPageWikiLink Grahams_law.
- Equipartition_theorem wikiPageWikiLink Gravitation.
- Equipartition_theorem wikiPageWikiLink Gravitational_constant.
- Equipartition_theorem wikiPageWikiLink Gravity.
- Equipartition_theorem wikiPageWikiLink Gravity_of_Earth.
- Equipartition_theorem wikiPageWikiLink Hamiltonian_(quantum_mechanics).
- Equipartition_theorem wikiPageWikiLink Hamiltonian_function.
- Equipartition_theorem wikiPageWikiLink Hamiltonian_mechanics.
- Equipartition_theorem wikiPageWikiLink Hamiltonian_system.
- Equipartition_theorem wikiPageWikiLink Hamiltons_equations.
- Equipartition_theorem wikiPageWikiLink Harmonic_oscillator.
- Equipartition_theorem wikiPageWikiLink Heat_bath.