The structure of equilibrium solutions of the one-dimensional Doi equation
The structure of equilibrium solutions of the one-dimensional Doi equation
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DOI：
10.1088/0951-7715/18/1/018
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发表时间：
2005
期刊：
影响因子：
1.7
通讯作者：
C. Luo;Hui Zhang;Pingwen Zhang
中科院分区：
文献类型：
--
作者：
C. Luo;Hui Zhang;Pingwen Zhang
我们分析了一维棒状分子Doi模型的稳态解的结构。我们证明了，如果相互作用强度参数U小于4，那么常数解是唯一可能的稳态解。如果U大于4，则有一个新的解决方案，对应于第二阶段。所有其他的非常数解都是从这个解通过平移得到的。我们进一步证明了这些解的周期是π而不是2π，这一性质表明杆是对称的，即它们有取向但没有方向。
We analyse the structure of steady state solutions of the one-dimensional Doi model for rod-like molecules. We prove that if the interaction strength parameter U is less than 4, then the constant solution is the only possible steady state solution. If U is larger than 4, then there is a new solution that corresponds to the nematic phase. All other non-constant solutions are obtained from this solution by translation. We prove further that the nematic solutions have period π instead of 2π, a property that signifies the fact the rods are symmetric, i.e. they have orientations but no directions.