Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Boltzmann_equation> ?p ?o }
- Boltzmann_equation abstract "In physics, specifically non-equilibrium statistical mechanics, the Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in thermodynamic equilibrium. It was devised by Ludwig Boltzmann in 1872.The classic example is a fluid with temperature gradients in space causing heat to flow from hotter regions to colder ones, by the random (and biased) transport of particles. In the modern literature the term Boltzmann equation is often used in a more general sense and refers to any kinetic equation that describes the change of a macroscopic quantity in a thermodynamic system, such as energy, charge or particle number.The equation arises not by statistical analysis of all the individual positions and momenta of each particle in the fluid; rather by considering the probability that a number of particles all occupy a very small region of space (mathematically written d3r, where d means \"differential\", a very small change) centered at the tip of the position vector r, and have very nearly equal small changes in momenta from a momentum vector p, at an instant of time.The Boltzmann equation can be used to determine how physical quantities change, such as heat energy and momentum, when a fluid is in transport, and other properties characteristic to fluids such as viscosity, thermal conductivity also electrical conductivity (by treating the charge carriers in a material as a gas) can be derived. See also convection-diffusion equation.The equation is a linear stochastic partial differential equation, since the unknown function in the equation is a continuous random variable. The problem of existence and uniqueness of solutions is still not fully resolved, but some recent results are quite promising.".
- Boltzmann_equation wikiPageExternalLink An_Introduction_to_the_Theory_of_the_Bol.html?id=KfYK1lyq3VYC&redir_esc=y.
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- Boltzmann_equation wikiPageExternalLink university-pennsylvania-mathematicians-solve-140-year-old-boltzmann-equation-gaseous-behaviors.
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- Boltzmann_equation wikiPageWikiLink Age_of_the_universe.
- Boltzmann_equation wikiPageWikiLink Baryogenesis.
- Boltzmann_equation wikiPageWikiLink Big_Bang.
- Boltzmann_equation wikiPageWikiLink Big_Bang_nucleosynthesis.
- Boltzmann_equation wikiPageWikiLink Bose–Einstein_statistics.
- Boltzmann_equation wikiPageWikiLink Cartesian_coordinate_system.
- Boltzmann_equation wikiPageWikiLink Category:Equations_of_physics.
- Boltzmann_equation wikiPageWikiLink Category:Partial_differential_equations.
- Boltzmann_equation wikiPageWikiLink Category:Statistical_mechanics.
- Boltzmann_equation wikiPageWikiLink Category:Transport_phenomena.
- Boltzmann_equation wikiPageWikiLink Chemical_species.
- Boltzmann_equation wikiPageWikiLink Christoffel_symbols.
- Boltzmann_equation wikiPageWikiLink Chronology_of_the_universe.
- Boltzmann_equation wikiPageWikiLink Coherence_(physics).
- Boltzmann_equation wikiPageWikiLink Collision.
- Boltzmann_equation wikiPageWikiLink Convection–diffusion_equation.
- Boltzmann_equation wikiPageWikiLink Coordinate_system.
- Boltzmann_equation wikiPageWikiLink Cross_section_(physics).
- Boltzmann_equation wikiPageWikiLink Dark_matter.
- Boltzmann_equation wikiPageWikiLink Determinism.
- Boltzmann_equation wikiPageWikiLink Differential_of_a_function.
- Boltzmann_equation wikiPageWikiLink Diffusion.
- Boltzmann_equation wikiPageWikiLink Dimension.
- Boltzmann_equation wikiPageWikiLink Dot_product.
- Boltzmann_equation wikiPageWikiLink Double_layer_(plasma).
- Boltzmann_equation wikiPageWikiLink Electrical_resistivity_and_conductivity.
- Boltzmann_equation wikiPageWikiLink Fermi–Dirac_statistics.
- Boltzmann_equation wikiPageWikiLink Fluid.
- Boltzmann_equation wikiPageWikiLink Fokker–Planck_equation.
- Boltzmann_equation wikiPageWikiLink Force_field_(chemistry).
- Boltzmann_equation wikiPageWikiLink General_relativity.
- Boltzmann_equation wikiPageWikiLink Gradient.
- Boltzmann_equation wikiPageWikiLink H-theorem.
- Boltzmann_equation wikiPageWikiLink Hamiltonian_mechanics.
- Boltzmann_equation wikiPageWikiLink Harmonic_analysis.
- Boltzmann_equation wikiPageWikiLink Heat.
- Boltzmann_equation wikiPageWikiLink Hypersonic_speed.
- Boltzmann_equation wikiPageWikiLink Infinitesimal.
- Boltzmann_equation wikiPageWikiLink Integral.
- Boltzmann_equation wikiPageWikiLink Landau_equation.
- Boltzmann_equation wikiPageWikiLink Lattice_Boltzmann_methods.
- Boltzmann_equation wikiPageWikiLink Linear_differential_equation.
- Boltzmann_equation wikiPageWikiLink Liouvilles_theorem_(Hamiltonian).
- Boltzmann_equation wikiPageWikiLink Ludwig_Boltzmann.
- Boltzmann_equation wikiPageWikiLink Many-body_problem.
- Boltzmann_equation wikiPageWikiLink Mass.
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- Boltzmann_equation wikiPageWikiLink Molecular_chaos.
- Boltzmann_equation wikiPageWikiLink Momentum.
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- Boltzmann_equation wikiPageWikiLink Navier–Stokes_equations.
- Boltzmann_equation wikiPageWikiLink Numerical_methods_in_fluid_mechanics.
- Boltzmann_equation wikiPageWikiLink Parametric_equation.
- Boltzmann_equation wikiPageWikiLink Partial_differential_equation.
- Boltzmann_equation wikiPageWikiLink Particle.
- Boltzmann_equation wikiPageWikiLink Phase_space.
- Boltzmann_equation wikiPageWikiLink Physical_cosmology.
- Boltzmann_equation wikiPageWikiLink Physics.
- Boltzmann_equation wikiPageWikiLink Position_(vector).
- Boltzmann_equation wikiPageWikiLink Position_and_momentum_space.
- Boltzmann_equation wikiPageWikiLink Pressure.
- Boltzmann_equation wikiPageWikiLink Probability.
- Boltzmann_equation wikiPageWikiLink Probability_density_function.
- Boltzmann_equation wikiPageWikiLink Probability_distribution.
- Boltzmann_equation wikiPageWikiLink Quantum_field_theory.
- Boltzmann_equation wikiPageWikiLink Quantum_mechanics.
- Boltzmann_equation wikiPageWikiLink Relative_velocity.
- Boltzmann_equation wikiPageWikiLink Relativistic_Boltzmann_equations.
- Boltzmann_equation wikiPageWikiLink Solid_angle.
- Boltzmann_equation wikiPageWikiLink Statistical_mechanics.
- Boltzmann_equation wikiPageWikiLink Statistics.
- Boltzmann_equation wikiPageWikiLink Stochastic_partial_differential_equation.
- Boltzmann_equation wikiPageWikiLink Temperature_gradient.
- Boltzmann_equation wikiPageWikiLink Thermal_conductivity.
- Boltzmann_equation wikiPageWikiLink Thermodynamic_equilibrium.
- Boltzmann_equation wikiPageWikiLink Thermodynamic_system.
- Boltzmann_equation wikiPageWikiLink Unit_vector.
- Boltzmann_equation wikiPageWikiLink Viscosity.
- Boltzmann_equation wikiPageWikiLink Viscous_stress_tensor.
- Boltzmann_equation wikiPageWikiLink Vlasov_equation.
- Boltzmann_equation wikiPageWikiLink Volume_element.
- Boltzmann_equation wikiPageWikiLink Wave_function.
- Boltzmann_equation wikiPageWikiLinkText "Boltzmann equation".
- Boltzmann_equation wikiPageWikiLinkText "Boltzmann transport".
- Boltzmann_equation wikiPageWikiLinkText "Boltzmann type collision processes".
- Boltzmann_equation wikiPageWikiLinkText "Boltzmann".
- Boltzmann_equation wikiPageWikiLinkText "Boltzmann-like equation".
- Boltzmann_equation wikiPageWikiLinkText "Wigner–Boltzmann equation".
- Boltzmann_equation wikiPageUsesTemplate Template:Cite_book.
- Boltzmann_equation wikiPageUsesTemplate Template:Cite_journal.
- Boltzmann_equation wikiPageUsesTemplate Template:EquationNote.
- Boltzmann_equation wikiPageUsesTemplate Template:EquationRef.