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- Abelian_sandpile_model abstract "The Abelian sandpile model, also known as the Bak–Tang–Wiesenfeld model, was the first discovered example of a dynamical system displaying self-organized criticality. It was introduced by Per Bak, Chao Tang and Kurt Wiesenfeld in a 1987 paper.The model is a cellular automaton. In its original formulation, each site on a finite grid has an associated value that corresponds to the slope of the pile. This slope builds up as grains of sand are randomly placed onto the pile, until the slope exceeds a specific threshold value at which time that site collapses transferring sand into the adjacent sites, increasing their slope. Bak, Tang, and Wiesenfeld considered process of successive random placement of sand grains on the grid; each such placement of sand at a particular site may have no effect, or it may cause a cascading reaction that will affect many sites. The grains of sand are often more conveniently referred to as "chips".The model has since been studied on the infinite lattice, on other (non-square) lattices, and on arbitrary graphs (including directed multigraphs).".
- Abelian_sandpile_model thumbnail Backtang2.png?width=300.
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- Abelian_sandpile_model wikiPageRevisionID "681870167".
- Abelian_sandpile_model wikiPageWikiLink f_noise.
- Abelian_sandpile_model wikiPageWikiLink Abelian_group.
- Abelian_sandpile_model wikiPageWikiLink American_Mathematical_Society.
- Abelian_sandpile_model wikiPageWikiLink Category:Cellular_automaton_rules.
- Abelian_sandpile_model wikiPageWikiLink Category:Critical_phenomena.
- Abelian_sandpile_model wikiPageWikiLink Category:Dynamical_systems.
- Abelian_sandpile_model wikiPageWikiLink Category:Nonlinear_systems.
- Abelian_sandpile_model wikiPageWikiLink Category:Phase_transitions.
- Abelian_sandpile_model wikiPageWikiLink Category:Self-organization.
- Abelian_sandpile_model wikiPageWikiLink Cellular_automaton.
- Abelian_sandpile_model wikiPageWikiLink Chao_Tang.
- Abelian_sandpile_model wikiPageWikiLink Commutative_monoid.
- Abelian_sandpile_model wikiPageWikiLink Computer_game.
- Abelian_sandpile_model wikiPageWikiLink Critical_point_(thermodynamics).
- Abelian_sandpile_model wikiPageWikiLink Critical_state.
- Abelian_sandpile_model wikiPageWikiLink Dynamical_system.
- Abelian_sandpile_model wikiPageWikiLink Hexplode.
- Abelian_sandpile_model wikiPageWikiLink Ideal.
- Abelian_sandpile_model wikiPageWikiLink Kirchhoffs_theorem.
- Abelian_sandpile_model wikiPageWikiLink Kurt_Wiesenfeld.
- Abelian_sandpile_model wikiPageWikiLink Laplacian_matrix.
- Abelian_sandpile_model wikiPageWikiLink Monoid.
- Abelian_sandpile_model wikiPageWikiLink Numb3rs.
- Abelian_sandpile_model wikiPageWikiLink Numbers_(TV_series).
- Abelian_sandpile_model wikiPageWikiLink PC_game.
- Abelian_sandpile_model wikiPageWikiLink Per_Bak.
- Abelian_sandpile_model wikiPageWikiLink Phase_transition.
- Abelian_sandpile_model wikiPageWikiLink Physical_Review_A.
- Abelian_sandpile_model wikiPageWikiLink Physical_Review_Letters.
- Abelian_sandpile_model wikiPageWikiLink Pink_noise.
- Abelian_sandpile_model wikiPageWikiLink Principle_of_least_action.
- Abelian_sandpile_model wikiPageWikiLink Self-organization.
- Abelian_sandpile_model wikiPageWikiLink Self-organized_criticality.
- Abelian_sandpile_model wikiPageWikiLink Spanning_tree.
- Abelian_sandpile_model wikiPageWikiLink Wiktionary:perturbation.
- Abelian_sandpile_model wikiPageWikiLink File:Backtang2.png.
- Abelian_sandpile_model wikiPageWikiLinkText "Abelian sandpile model".
- Abelian_sandpile_model wikiPageWikiLinkText "Bak–Tang–Wiesenfeld sandpile".
- Abelian_sandpile_model hasPhotoCollection Abelian_sandpile_model.
- Abelian_sandpile_model wikiPageUsesTemplate Template:Cite_book.
- Abelian_sandpile_model wikiPageUsesTemplate Template:Cite_journal.
- Abelian_sandpile_model wikiPageUsesTemplate Template:Main.
- Abelian_sandpile_model wikiPageUsesTemplate Template:Reflist.
- Abelian_sandpile_model subject Category:Cellular_automaton_rules.
- Abelian_sandpile_model subject Category:Critical_phenomena.
- Abelian_sandpile_model subject Category:Dynamical_systems.
- Abelian_sandpile_model subject Category:Nonlinear_systems.
- Abelian_sandpile_model subject Category:Phase_transitions.
- Abelian_sandpile_model subject Category:Self-organization.
- Abelian_sandpile_model hypernym Example.
- Abelian_sandpile_model type Building.
- Abelian_sandpile_model type Field.
- Abelian_sandpile_model type Mechanic.
- Abelian_sandpile_model type Physic.
- Abelian_sandpile_model type Process.
- Abelian_sandpile_model type Transition.
- Abelian_sandpile_model comment "The Abelian sandpile model, also known as the Bak–Tang–Wiesenfeld model, was the first discovered example of a dynamical system displaying self-organized criticality. It was introduced by Per Bak, Chao Tang and Kurt Wiesenfeld in a 1987 paper.The model is a cellular automaton. In its original formulation, each site on a finite grid has an associated value that corresponds to the slope of the pile.".
- Abelian_sandpile_model label "Abelian sandpile model".
- Abelian_sandpile_model sameAs Pila_de_arena.
- Abelian_sandpile_model sameAs m.05f8n05.
- Abelian_sandpile_model sameAs Q4666685.
- Abelian_sandpile_model sameAs Q4666685.
- Abelian_sandpile_model wasDerivedFrom Abelian_sandpile_model?oldid=681870167.
- Abelian_sandpile_model depiction Backtang2.png.
- Abelian_sandpile_model isPrimaryTopicOf Abelian_sandpile_model.