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Reconstruction of the dissipation coefficient in lattice models

机译:晶格模型中耗散系数的重构

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Variants of the 2-D cellular model introduced by Olami, Feder, and Christensen (an analogue of the Burridge-Knopoff spring-block model) are examined. The influx of energy into each cell from the outside occurs at a constant rate. When the energy in a cell exceeds a certain threshold, the cell is “ruptured;” i.e., part of its energy, defined by the coefficient D, dissipates while the remainder is redistributed among the adjacent cells. The model is used to construct a catalog of clusters of ruptured cells. A method is proposed for estimating the dissipation coefficient D from the recurrence plot for a truncated catalog. In the range 0 ≤ D ≤ 0.35, D is estimated accurate to 0.01. The accuracy is improved with increasing lattice size
机译:检查了由Olami,Feder和Christensen(Burridge-Knopoff弹簧块模型的类似物)引入的2-D细胞模型的变体。能量以恒定的速率从外部流入每个电池。当电池中的能量超过某个阈值时,该电池将“破裂”;即,其能量的一部分(由系数D定义)会耗散,而其余的能量会在相邻单元中重新分配。该模型用于构建破裂细胞簇的目录。提出了一种从递归图的递归图估计耗散系数D的方法。在0≤D≤0.35的范围内,D估计精确到0.01。精度随着晶格尺寸的增加而提高

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