摘要翻译:
我们定义了一种新的沙堆模型,它与阿贝尔沙堆模型(ASM)非常相似,但高度变量是连续的。利用我们在模型中定义的推倒规则,我们证明了模型可以映射到ASM,因此两个模型的一般性质是相同的。然而,新模型允许我们研究一些问题,如极小质量对高度概率的影响,不同的边界条件等。
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英文标题:
《Continuous Abelian Sandpile Model in Two Dimensional Lattice》
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作者:
N. Azimi-Tafreshi, E. Lotfi, S. Moghimi-Araghi
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We define a new version of sandpile model which is very similar to Abelian Sandpile Model (ASM), but the height variables are continuous ones. With the toppling rule we define in our model, we show that the model can be mapped to ASM, so the general properties of the two models are identical. Yet the new model allows us to investigate some problems such as effect of very small mass on the height probabilities, different boundary conditions, etc.
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PDF链接:
https://arxiv.org/pdf/710.3292