A recursive structure of sand pile model and its applications
نویسندگان
چکیده
منابع مشابه
A recursive structure of sand pile model and its applications
The Sand Pile Model (SPM) and its generalization, the Ice Pile Model (IPM), originate from physics and have various applications in the description of the evolution of granular systems. In this article, we deal with the enumeration and the exhaustive generation of the accessible configuration of the system. Our work is based on a new recursive decomposition theorem for SPM configurations using ...
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spm (Sand Pile Model) is a simple discrete dynamical system used in physics to represent granular objects. It is deeply related to integer partitions, and many other combinatorics problems, such as tilings or rewriting systems. The evolution of the system started with n stacked grains generates a lattice, denoted by SPM(n). We study here the structure of this lattice. We first explain how it ca...
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In this paper we introduce the Bidimensional Sand Pile Model (BSPM), that is, a generalization of the Sand Pile Model (SPM) with the addition of a further dimension. The SPM and some related models have been studied in many different domains and they play an important role in the theory of discrete dynamical systems. They were considered in the context of integer lattices by Brylawski in 1973. ...
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Sand pile models are dynamical systems describing the evolution from N stacked grains to a stable configuration. It uses local rules to depict grain moves and iterate it until reaching a fixed configuration from which no rule can be applied. Physicists L. Kadanoff et al inspire KSPM, extending the well known Sand Pile Model (SPM). In KSPM(D), we start from a pile of N stacked grains and apply t...
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Sand pile models are dynamical systems emphasizing the phenomenon of Self Organized Criticality (SOC). From N stacked grains, iterating evolution rules leads to some critical configuration where a small disturbance has deep consequences on the system, involving numerous steps of grain fall. Physicists L. Kadanoff et al inspire KSPM, a model presenting a sharp SOC behavior, extending the well kn...
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ژورنال
عنوان ژورنال: Pure Mathematics and Applications
سال: 2015
ISSN: 1788-800X
DOI: 10.1515/puma-2015-0006