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基于改进的Newman和Ziff算法以及有限尺寸标度理论, 通过对表征渗流相变特征物理量的序参量、平均集团尺寸、二阶矩、标准偏差及尺寸不均匀性的数值模拟, 分析研究了Erdös Rényi随机网络上Achlioptas爆炸渗流模型的相变性质.研究表明: 尽管序参量表现出了不连续相变的特征, 但序参量以及其他特征物理量仍具有连续相变的幂律标度行为.因此严格地说, Erdös Rényi随机网络中的爆炸渗流相变是一种奇异相变, 它既不是标准的不连续相变, 又与常规随机渗流表现出的连续相变处于不同的普适类.
关键词:
Erdös Rényi随机网络
爆炸渗流模型
相变
幂律标度行为 相似文献
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采用Kinetic Monte Carlo方法对1+1维抛射沉积(BD)模型内部结构的动力学行为进行了大量的数值模拟研究.分别分析了空洞密度和内部界面的动力学行为.研究表明,空洞密度呈高斯型分布,其平均值首先随生长时间快速增长,然后达到一个与基底尺寸无关的饱和值.除表面宽度,还引入了新的极值统计方法来分析该模型内部界面的动力学行为,分析结果显示,1+1维BD模型内部界面的演化满足标准的Family-Vicsek标度规律,并且属Kardar-Parisi-Zhang方程所描述的普适类.最后对表面宽度和极值统计两种理论方法的有限尺寸效应进行了比较. 相似文献
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利用热水与超声提取麦冬粗多糖,DEAE-cellulose52纤维素与Sephacryl S-300凝胶柱层析对其进行分离纯化,得到热水提取的麦冬多糖均一组分WPOJ-DS与超声提取的麦冬多糖均一组分UPOJ-DS。采用高效液相色谱法、气相色谱法、红外光谱法、部分酸水解、甲基化分析及核磁共振对WPOJ-DS与UPOJDS的结构进行表征;利用刚果红实验、圆二色谱实验及原子力显微镜对其溶液构象进行了比较研究。结果表明,超声提取对麦冬多糖的分子量、单糖组成摩尔比及构型会产生影响,WPOJ-DS与UPOJ-DS的主链均主要由→6)-D-Glcp(1→和→3,6)-D-Glcf(1→组成,但WPOJ-DS中存在→6)-β-D-Glcp(1→,而UPOJDS中没有;刚果红实验、圆二色谱实验与原子力显微镜结果显示UPOJ-DS存在螺旋结构,而WPOJ-DS没有;且在不同溶液环境中,WPOJ-DS与UPOJ-DS的溶液构象不同。 相似文献
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Numerical study of anomalous dynamic scaling behaviour of (1+1)-dimensional Das Sarma-Tamborenea model 下载免费PDF全文
In order to discuss the finite-size effect and the anomalous dynamic scaling behaviour of Das Sarma-Tamborenea growth model,the (1+1)-dimensional Das Sarma-Tamborenea model is simulated on a large length scale by using the kinetic Monte-Carlo method.In the simulation,noise reduction technique is used in order to eliminate the crossover effect.Our results show that due to the existence of the finite-size effect,the effective global roughness exponent of the (1+1)-dimensional Das Sarma-Tamborenea model systematically decreases with system size L increasing when L > 256.This finding proves the conjecture by Aarao Reis[Aarao Reis F D A 2004 Phys.Rev.E 70 031607].In addition,our simulation results also show that the Das Sarma-Tamborenea model in 1+1 dimensions indeed exhibits intrinsic anomalous scaling behaviour. 相似文献
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With the aim to probe the effects of the microscopic details of fractal substrates on the scaling of discrete growth models, the surface structures of the equilibrium restricted curvature(ERC) model on Sierpinski arrowhead and crab substrates are analyzed by means of Monte Carlo simulations. These two fractal substrates have the same fractal dimension df, but possess different dynamic exponents of random walk zrw. The results show that the surface structure of the ERC model on fractal substrates are related to not only the fractal dimension df, but also to the microscopic structures of the substrates expressed by the dynamic exponent of random walk zrw. The ERC model growing on the two substrates follows the well-known Family–Vicsek scaling law and satisfies the scaling relations 2α + df≈ z ≈ 2zrw. In addition, the values of the scaling exponents are in good agreement with the analytical prediction of the fractional Mullins–Herring equation. 相似文献