Eulerian Walkers as a Model of Self-Organized Criticality.
Eulerian Walkers as a Model of Self-Organized Criticality.
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欧拉步行者作为自组织临界模型。
DOI：
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发表时间：
1996
影响因子：
8.6
通讯作者：
S. Krishnamurthy
中科院分区：
文献类型：
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作者：
V. Priezzhev;D. Dhar;A. Dhar;S. Krishnamurthy
我们提出了一个新的自组织临界模型。粒子随机放置在晶格上，并沿每个位置的箭头指定的沿着方向移动。当它移动时，它会根据固定的规则改变箭头的方向。在闭图上，这些行走生成欧拉回路。在开放图上，粒子最终离开系统，然后添加一个新粒子。对应于粒子加法的算子生成一个阿贝尔群，与图上阿贝尔沙堆模型的群相同。我们确定的临界稳定状态和一些临界指数，正是使用这个等价。
We propose a new model of self-organized criticality. A particle is dropped at random on a lattice and moves along directions specified by arrows at each site. As it moves, it changes the direction of the arrows according to fixed rules. On closed graphs these walks generate Euler circuits. On open graphs, the particle eventually leaves the system, and a new particle is then added. The operators corresponding to particle addition generate an Abelian group, same as the group for the Abelian sandpile model on the graph. We determine the critical steady state and some critical exponents exactly, using this equivalence.