STABILITY OF SYMMETRIC AND UNSYMMETRIC THIN LIQUID-FILMS TO SHORT AND LONG WAVELENGTH PERTURBATIONS
STABILITY OF SYMMETRIC AND UNSYMMETRIC THIN LIQUID-FILMS TO SHORT AND LONG WAVELENGTH PERTURBATIONS
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DOI：
10.1016/0021-9797(80)90501-9
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发表时间：
1980-01-01
影响因子：
9.9
通讯作者：
RUCKENSTEIN, E
中科院分区：
文献类型：
--
作者：
MALDARELLI, C;JAIN, RK;RUCKENSTEIN, E
研究了被粘性液体同化的薄(<；100 nm)对称和非对称薄膜对短波和长波扰动的稳定性。这种不对称性是由于膜周围的两个不同的粘性相以及膜两面处不同的界面张力造成的。用体力修正的Navier-Stokes方程描述了薄膜对扰动的动力学，该方程解释了相互作用力的范围大于薄膜厚度的事实。对细胞膜的应用表明，在这种情况下，由于微扰增长的时间尺度比压缩模式小4个数量级，不稳定性的增长主要是由伸缩模式控制的。对于非对称体系，研究了两面界面张力的差异对两面微扰幅度之比的影响。结果表明，界面张力的差异是通过膜传递放大或抑制的信息的方式。
The stability of thin (< 100 nm) symmetrical and unsymmetrical membranes, assimilated with viscous liquids, to short and long wavelength perturbations is investigated. The asymmetry is due to the 2 different viscous phases surrounding the membrane and to the different interfacial tensions on the 2 faces of the membrane. The dynamics of the membrane to perturbations is described by the Navier-Stokes equation modified with a body force which accounts for the fact that the range of the interaction forces is larger than the thickness of the film. An application of the results to a cell membrane shows that the growth of the instability is dominated in this case by stretching mode since the time scale of growth of the perturbations is 4 orders of magnitude less than that in the squeezing mode. For unsymmetrical systems the effect of differences between the interfacial tensions on the 2 faces on the ratio of the amplitudes of perturbations on the 2 faces in investigated. The results show in what manner differences in interfacial tension convey amplified or damped messages across the membrane.