【摘要】 从实验上系统研究了在强电场下处于介质中的大量金属小球从不同初始状态通过自组织演化为分形的过程;用Sandbox方法定量分析了最终形成的稳定树枝状分形的维数。结果表明:不同初始状态形成分形的过程完全不同,但最终的树枝状分形的维数基本相同。分析认为,小球之间的相互作用存在临界作用距离,不同初始状态相邻小球之间的平均间距不同,因而演化过程不同;而维数相同正是系统耗散相同的体现。更多还原

【Abstract】 The self-organization evolution processes of large-number metallic balls from different initial states to the fractal structures are observed systematically under high voltage. The fractal dimensions of final stable dendritic fractal structures are calculated by the sandbox method. The result shows that although the self-organization evolution processes are quite different with different initial states,their fractal dimensions are almost the same. Our analysis suggests that there exists a critical interaction distance between metal balls,the averaged distances between neighboring balls are different in different initial states which result in different evolution processes,while the same fractal dimension reflects the direct embodiment of the same dissipation of the system.更多还原