Definitions for sandpile
sand·pile

Princeton's WordNetRate this definition:0.0 / 0 votes

1. sandbox, sandpile, sandpitnoun

   a plaything consisting of a pile of sand or a box filled with sand for children to play in

WiktionaryRate this definition:0.0 / 0 votes

1. sandpilenoun

   a pile of sand

2. sandpilenoun

   A pile of sand.

3. sandpilenoun

   Any of several models in which a series of connected nodes interact with their neighbours according to fixed rules.

WikipediaRate this definition:0.0 / 0 votes

1. sandpile

   The Abelian sandpile model (ASM) is the more popular name of the original Bak–Tang–Wiesenfeld model (BTW). BTW 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.Three years later Deepak Dhar discovered that the BTW sandpile model indeed follows the abelian dynamics and therefore referred to this model as the Abelian sandpile model. 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" (or "chips") 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. Dhar has shown that the final stable sandpile configuration after the avalanche is terminated, is independent of the precise sequence of topplings that is followed during the avalanche. As a direct consequence of this fact, it is shown that if two sand grains are added to the stable configuration in two different orders, e.g., first at site A and then at site B, and first at B and then at A, the final stable configuration of sand grains turns out to be exactly the same. When a sand grain is added to a stable sandpile configuration, it results in an avalanche which finally stops leading to another stable configuration. Dhar proposed that the addition of a sand grain can be looked upon as an operator, when it acts on one stable configuration, it produces another stable configuration. Dhar showed that all such addition operators form an abelian group, hence the name Abelian sandpile model. The model has since been studied on the infinite lattice, on other (non-square) lattices, and on arbitrary graphs (including directed multigraphs). It is closely related to the dollar game, a variant of the chip-firing game introduced by Biggs.

ChatGPTRate this definition:0.0 / 0 votes

1. sandpile

   A sandpile, in general, is a heap or mound of sand. However, in a different context such as mathematics, a sandpile refers to a mathematical model used for dynamic systems, called Abelian sandpile model or Bak–Tang–Wiesenfeld model. It is the first discovered example of a dynamical system displaying self-organized criticality. It is typically visualized in computer simulations as a grid or lattice that has a specific number of particles at each node.

Matched Categories

1. • Plaything

Anagrams for sandpile »

1. splained

How to pronounce sandpile?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say sandpile in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of sandpile in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of sandpile in Pythagorean Numerology is: 8

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=sandpile
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Sandpile
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Sandpile
4. ^ ChatGPT
   https://chat.openai.com