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- Universality_(dynamical_systems) abstract "In statistical mechanics, universality is the observation that there are properties for a large class of systems that are independent of the dynamical details of the system. Systems display universality in a scaling limit, when a large number of interacting parts come together. The modern meaning of the term was introduced by Leo Kadanoff in the 1960s, but a simpler version of the concept was already implicit in the van der Waals equation and in the earlier Landau theory of phase transitions, which did not incorporate scaling correctly.The term is slowly gaining a broader usage in several fields of mathematics, including combinatorics and probability theory, whenever the quantitative features of a structure (such as asymptotic behaviour) can be deduced from a few global parameters appearing in the definition, without requiring knowledge of the details of the system.The renormalization group explains universality. It classifies operators in a statistical field theory into relevant and irrelevant. Relevant operators are those responsible for perturbations to the free energy, the imaginary time Lagrangian, that will affect the continuum limit, and can be seen at long distances. Irrelevant operators are those that only change the short-distance details. The collection of scale-invariant statistical theories define the universality classes, and the finite-dimensional list of coefficients of relevant operators parametrize the near critical behavior.".
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- Universality_(dynamical_systems) wikiPageWikiLink Avalanche.
- Universality_(dynamical_systems) wikiPageWikiLink Canonical_ensemble.
- Universality_(dynamical_systems) wikiPageWikiLink Cascading_failure.
- Universality_(dynamical_systems) wikiPageWikiLink Category:Critical_phenomena.
- Universality_(dynamical_systems) wikiPageWikiLink Category:Dynamical_systems.
- Universality_(dynamical_systems) wikiPageWikiLink Chromatography.
- Universality_(dynamical_systems) wikiPageWikiLink Combinatorics.
- Universality_(dynamical_systems) wikiPageWikiLink Conformal_field_theory.
- Universality_(dynamical_systems) wikiPageWikiLink Continuum_limit.
- Universality_(dynamical_systems) wikiPageWikiLink Critical_exponent.
- Universality_(dynamical_systems) wikiPageWikiLink Critical_opalescence.
- Universality_(dynamical_systems) wikiPageWikiLink Critical_point_(thermodynamics).
- Universality_(dynamical_systems) wikiPageWikiLink Critical_value.
- Universality_(dynamical_systems) wikiPageWikiLink Cuernavaca.
- Universality_(dynamical_systems) wikiPageWikiLink Dielectric.
- Universality_(dynamical_systems) wikiPageWikiLink Diffusion.
- Universality_(dynamical_systems) wikiPageWikiLink Diffusion-limited_aggregation.
- Universality_(dynamical_systems) wikiPageWikiLink Electrical_breakdown.
- Universality_(dynamical_systems) wikiPageWikiLink Entropy.
- Universality_(dynamical_systems) wikiPageWikiLink Fuse_(electrical).
- Universality_(dynamical_systems) wikiPageWikiLink Heat_capacity.
- Universality_(dynamical_systems) wikiPageWikiLink Integrable_system.
- Universality_(dynamical_systems) wikiPageWikiLink Leo_Kadanoff.
- Universality_(dynamical_systems) wikiPageWikiLink Master_equation.
- Universality_(dynamical_systems) wikiPageWikiLink Materials_science.
- Universality_(dynamical_systems) wikiPageWikiLink Mechanics.
- Universality_(dynamical_systems) wikiPageWikiLink Mitchell_Feigenbaum.
- Universality_(dynamical_systems) wikiPageWikiLink Molecule.
- Universality_(dynamical_systems) wikiPageWikiLink Multi-agent_system.
- Universality_(dynamical_systems) wikiPageWikiLink Percolation.
- Universality_(dynamical_systems) wikiPageWikiLink Petroleum.
- Universality_(dynamical_systems) wikiPageWikiLink Phase_transition.
- Universality_(dynamical_systems) wikiPageWikiLink Probability_theory.
- Universality_(dynamical_systems) wikiPageWikiLink Quantum_field_theory.
- Universality_(dynamical_systems) wikiPageWikiLink Renormalization_group.
- Universality_(dynamical_systems) wikiPageWikiLink Resistor.
- Universality_(dynamical_systems) wikiPageWikiLink Scale_invariance.
- Universality_(dynamical_systems) wikiPageWikiLink Self-organized_criticality.
- Universality_(dynamical_systems) wikiPageWikiLink Solution.
- Universality_(dynamical_systems) wikiPageWikiLink Statistical_mechanics.
- Universality_(dynamical_systems) wikiPageWikiLink Universality_class.
- Universality_(dynamical_systems) wikiPageWikiLink Valery_Pokrovsky.
- Universality_(dynamical_systems) wikiPageWikiLink Van_der_Waals_equation.
- Universality_(dynamical_systems) wikiPageWikiLinkText "Universality (dynamical systems)".
- Universality_(dynamical_systems) wikiPageWikiLinkText "Universality".
- Universality_(dynamical_systems) wikiPageWikiLinkText "universal".
- Universality_(dynamical_systems) wikiPageWikiLinkText "universality principle".
- Universality_(dynamical_systems) wikiPageWikiLinkText "universality".
- Universality_(dynamical_systems) wikiPageUsesTemplate Template:Citation_needed.
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- Universality_(dynamical_systems) subject Category:Critical_phenomena.
- Universality_(dynamical_systems) subject Category:Dynamical_systems.
- Universality_(dynamical_systems) hypernym Observation.
- Universality_(dynamical_systems) type Aircraft.
- Universality_(dynamical_systems) type Field.
- Universality_(dynamical_systems) type Mechanic.
- Universality_(dynamical_systems) type Physic.
- Universality_(dynamical_systems) comment "In statistical mechanics, universality is the observation that there are properties for a large class of systems that are independent of the dynamical details of the system. Systems display universality in a scaling limit, when a large number of interacting parts come together.".
- Universality_(dynamical_systems) label "Universality (dynamical systems)".
- Universality_(dynamical_systems) sameAs Q2495574.
- Universality_(dynamical_systems) sameAs Universalität_(Physik).
- Universality_(dynamical_systems) sameAs m.05t4sj.
- Universality_(dynamical_systems) sameAs Q2495574.
- Universality_(dynamical_systems) wasDerivedFrom Universality_(dynamical_systems)?oldid=704911474.
- Universality_(dynamical_systems) isPrimaryTopicOf Universality_(dynamical_systems).