PHYLLOTAXIS AS A PHYSICAL SELF-ORGANIZED GROWTH-PROCESS

PHYLLOTAXIS AS A PHYSICAL SELF-ORGANIZED GROWTH-PROCESS
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DOI:
10.1103/physrevlett.68.2098
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发表时间:
1992-03-30
影响因子:
8.6
通讯作者:
COUDER, Y
COUDER, Y
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
DOUADY, S;COUDER, Y

文献摘要

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一种特殊的晶体顺序,包括斐波那契序列,直到现在只在植物中观察到(叶状排列)。在这里,这些图案是在物理实验室实验和数值模拟中得到的。它们来自于迭代过程中的自组织。它们的选择仅取决于描述新元素连续出现的一个参数和初始条件。这种排序被解释为由于系统倾向于避免理性(周期性)组织,从而导致向黄金平均数收敛。
A specific crystalline order, involving the Fibonacci series, had until now only been observed in plants (phyllotaxis). Here, these patterns are obtained both in a physics laboratory experiment and in a numerical simulation. They arise from self-organization in an iterative process. They are selected depending on only one parameter describing the successive appearance of new elements, and on initial conditions. The ordering is explained as due to the system's trend to avoid rational (periodic) organization, thus leading to a convergence towards the golden mean.