Kidney-boojum-like solutions and exact shape equation of lipid monolayer domains
Kidney-boojum-like solutions and exact shape equation of lipid monolayer domains
复制标题
类肾boojum解和脂质单层结构域的精确形状方程
DOI：
10.1142/s0217979208039253
复制
发表时间：
2008
影响因子：
1.7
通讯作者：
Z. Ou
中科院分区：
文献类型：
--
作者：
M. Iwamoto;Fei Liu;Z. Ou
由流体相包围的固体脂质单层结构域的形状从物理和数学的角度来看都是相当感兴趣的。在这里，我们报告两个新的结果，关于这个话题。首先，我们找到一个精确的解析解近似形状方程，我们最近得出。这种解决方案可以很好地描述肾脏和boojum样结构域丰富的脂质单层。其次，我们推导出一个精确的磁畴形状方程的直接变化的域能量没有任何人为的截止。我们发现没有连续的解决方案，满足这个形状方程由于其系数的发散，这是植根于连续描述的静电偶极子。
The shape of the solid lipid monolayer domain surrounded by a fluid phase is of considerable interest from both physical and mathematical points of view. Here, we report two new results about this topic. First, we find an exact analytical solution to an approximated shape equation that we derived recently. This solution can well-describe the kidney- and boojum-like domains that abound in lipid monolayer. Second, we derive an exact domain shape equation by a direct variation of domain energy without any artificial cutoff. We find no continuous solutions that satisfy this shape equation due to the divergence of its coefficients, which is rooted in the continuous description of electrostatic dipoles.