Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Topological_defect> ?p ?o }
- Topological_defect abstract "See also topological excitations and the base concepts: topology, differential equations, quantum mechanics and condensed matter physics.In mathematics and physics, a topological soliton or a topological defect is a solution of a system of partial differential equations or of a quantum field theory homotopically distinct from the vacuum solution; it can be proven to exist because the boundary conditions entail the existence of homotopically distinct solutions. Typically, this occurs because the boundary on which the boundary conditions are specified has a non-trivial homotopy group which is preserved in differential equations; the solutions to the differential equations are then topologically distinct, and are classified by their homotopy class. Topological defects are not only stable against small perturbations, but cannot decay or be undone or be de-tangled, precisely because there is no continuous transformation that will map them (homotopically) to a uniform or \"trivial\" solution.Examples include the soliton or solitary wave which occurs in many exactly solvable models, the screw dislocations in crystalline materials, the skyrmion and the Wess–Zumino–Witten model in quantum field theory.Topological defects are believed to drive phase transitions in condensed matter physics. Notable examples of topological defects are observed in lambda transition universality class systems including: screw/edge-dislocations in liquid crystals, magnetic flux tubes in superconductors and vortices in superfluids.The authenticity of a topological defect depends on the authenticity of the vacuum in which the system will tend towards if infinite time elapses; false and true topological defects can be distinguished if the defect is in a false vacuum and a true vacuum, respectively.".
- Topological_defect wikiPageExternalLink SeparationOfTopologicalSingularities.
- Topological_defect wikiPageExternalLink cs_top.html.
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- Topological_defect wikiPageLength "10898".
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- Topological_defect wikiPageRevisionID "698278290".
- Topological_defect wikiPageWikiLink Biaxial_nematic.
- Topological_defect wikiPageWikiLink Big_Bang.
- Topological_defect wikiPageWikiLink Boundary_value_problem.
- Topological_defect wikiPageWikiLink CMB_cold_spot.
- Topological_defect wikiPageWikiLink Category:Inflation_(cosmology).
- Topological_defect wikiPageWikiLink Category:Large-scale_structure_of_the_cosmos.
- Topological_defect wikiPageWikiLink Category:Solitons.
- Topological_defect wikiPageWikiLink Condensed_matter_physics.
- Topological_defect wikiPageWikiLink Conjugacy_class.
- Topological_defect wikiPageWikiLink Cosmic_microwave_background.
- Topological_defect wikiPageWikiLink Cosmic_string.
- Topological_defect wikiPageWikiLink Covering_space.
- Topological_defect wikiPageWikiLink Differential_equation.
- Topological_defect wikiPageWikiLink Dimension.
- Topological_defect wikiPageWikiLink Dislocation.
- Topological_defect wikiPageWikiLink Domain_wall.
- Topological_defect wikiPageWikiLink Domain_wall_(string_theory).
- Topological_defect wikiPageWikiLink Extra_dimensions.
- Topological_defect wikiPageWikiLink False_vacuum.
- Topological_defect wikiPageWikiLink Fluxon.
- Topological_defect wikiPageWikiLink Foam.
- Topological_defect wikiPageWikiLink Fundamental_group.
- Topological_defect wikiPageWikiLink Grand_Unified_Theory.
- Topological_defect wikiPageWikiLink Helium.
- Topological_defect wikiPageWikiLink Homotopy.
- Topological_defect wikiPageWikiLink Homotopy_group.
- Topological_defect wikiPageWikiLink Inflation_(cosmology).
- Topological_defect wikiPageWikiLink Integrable_system.
- Topological_defect wikiPageWikiLink Kibble-Zurek_mechanism.
- Topological_defect wikiPageWikiLink Lambda_transition.
- Topological_defect wikiPageWikiLink Lie_group.
- Topological_defect wikiPageWikiLink Liquid_crystal.
- Topological_defect wikiPageWikiLink Logical_consequence.
- Topological_defect wikiPageWikiLink Magnetic_monopole.
- Topological_defect wikiPageWikiLink Mathematics.
- Topological_defect wikiPageWikiLink Observable_universe.
- Topological_defect wikiPageWikiLink Partial_differential_equation.
- Topological_defect wikiPageWikiLink Phase_transition.
- Topological_defect wikiPageWikiLink Physical_cosmology.
- Topological_defect wikiPageWikiLink Physics.
- Topological_defect wikiPageWikiLink Quantum_field_theory.
- Topological_defect wikiPageWikiLink Quantum_mechanics.
- Topological_defect wikiPageWikiLink Quantum_topology.
- Topological_defect wikiPageWikiLink Quantum_vortex.
- Topological_defect wikiPageWikiLink Skyrmion.
- Topological_defect wikiPageWikiLink Soliton.
- Topological_defect wikiPageWikiLink Speed_of_light.
- Topological_defect wikiPageWikiLink Spontaneous_symmetry_breaking.
- Topological_defect wikiPageWikiLink Superconductivity.
- Topological_defect wikiPageWikiLink Superfluidity.
- Topological_defect wikiPageWikiLink Texture_(cosmology).
- Topological_defect wikiPageWikiLink Topological_entropy_in_physics.
- Topological_defect wikiPageWikiLink Topological_excitations.
- Topological_defect wikiPageWikiLink Topological_order.
- Topological_defect wikiPageWikiLink Topological_quantum_field_theory.
- Topological_defect wikiPageWikiLink Topological_quantum_number.
- Topological_defect wikiPageWikiLink Topological_string_theory.
- Topological_defect wikiPageWikiLink Topology.
- Topological_defect wikiPageWikiLink Universe.
- Topological_defect wikiPageWikiLink Vacuum_solution.
- Topological_defect wikiPageWikiLink Vector_soliton.
- Topological_defect wikiPageWikiLink Wess–Zumino–Witten_model.
- Topological_defect wikiPageWikiLink Wiktionary:perturbation.
- Topological_defect wikiPageWikiLink File:Biaxial.png.
- Topological_defect wikiPageWikiLink File:DoubleWellSoliton.png.
- Topological_defect wikiPageWikiLink File:DoubleWellSolitonAntisoliton.gif.
- Topological_defect wikiPageWikiLinkText "Topological defect".
- Topological_defect wikiPageWikiLinkText "defect".
- Topological_defect wikiPageWikiLinkText "domain boundaries".
- Topological_defect wikiPageWikiLinkText "stable defects".
- Topological_defect wikiPageWikiLinkText "topological defect".
- Topological_defect wikiPageWikiLinkText "topological defects".
- Topological_defect wikiPageUsesTemplate Template:Reflist.
- Topological_defect wikiPageUsesTemplate Template:Which.
- Topological_defect subject Category:Inflation_(cosmology).
- Topological_defect subject Category:Large-scale_structure_of_the_cosmos.
- Topological_defect subject Category:Solitons.
- Topological_defect hypernym Solution.
- Topological_defect type Model.
- Topological_defect type Software.
- Topological_defect type Model.
- Topological_defect type Physic.
- Topological_defect comment "See also topological excitations and the base concepts: topology, differential equations, quantum mechanics and condensed matter physics.In mathematics and physics, a topological soliton or a topological defect is a solution of a system of partial differential equations or of a quantum field theory homotopically distinct from the vacuum solution; it can be proven to exist because the boundary conditions entail the existence of homotopically distinct solutions.".
- Topological_defect label "Topological defect".
- Topological_defect sameAs Q1770567.
- Topological_defect sameAs Defecte_topològic.
- Topological_defect sameAs Defecto_topológico.
- Topological_defect sameAs Défaut_topologique.
- Topological_defect sameAs Defek_topologi.
- Topological_defect sameAs Difetto_topologico.
- Topological_defect sameAs 位相欠陥.
- Topological_defect sameAs m.01zd9q.
- Topological_defect sameAs Топологический_дефект.