Stresses in lipid membranes
Stresses in lipid membranes
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DOI：
10.1088/0305-4470/35/30/302
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发表时间：
2002-08-02
期刊：
影响因子：
--
通讯作者：
Guven, J
中科院分区：
文献类型：
--
作者：
Capovilla, R;Guven, J
在封闭的脂质膜的Helfrich哈密顿，二次的外在曲率所描述的应力，确定使用Noether定理。三个方程描述的应力张量的守恒：正常的投影被确定为描述平衡配置的形状方程;切向投影的一致性条件的应力捕获的流体特性，这样的膜。相应的扭矩张量也被确定。使用的应力张量作为扰动理论的基础进行了讨论。守恒定律是用封闭曲线上的力和力矩表示的。作为应用，通过考察沿等纬圆沿着平衡的力，导出了轴对称构形形状方程的第一积分。
The stresses in a closed lipid membrane described by the Helfrich Hamiltonian, quadratic in the extrinsic curvature, are identified using Noether's theorem. Three equations describe the conservation of the stress tensor: the normal projection is identified as the shape equation describing equilibrium configurations; the tangential projections are consistency conditions on the stresses which capture the fluid character of such membranes. The corresponding torque tensor is also identified. The use of the stress tensor as a basis for perturbation theory is discussed. The conservation laws are cast in terms of the forces and torques on closed curves. As an application, the first integral of the shape equation for axially symmetric configurations is derived by examining the forces which are balanced along the circles of constant latitude.