扩散控制聚结法制备囊泡上圆形液域的生长动力学
Growth kinetics of circular liquid domains on vesicles by diffusion-controlled coalescence
摘要：
受最近多组分膜实验的启发，从理论上研究了囊泡上微区的生长动力学。已知当膜被视为无限二维（2D）系统时，不能通过采用聚结速率的长时间极限来获得稳态聚结速率。通过明确考虑到球形囊泡形状的稳态速率的聚结。利用在小畴尺寸极限下得到的二维扩散系数的表达式，得到了当畴的形状始终保持为圆形时畴生长动力学的解析表达式。对于大的域，生长动力学进行了讨论，通过调查的尺寸依赖的聚结率使用的任意域尺寸的扩散系数的表达式。
英文摘要：
Motivated by recent experiments on multi-component membranes, the growth kinetics of domains on vesicles is theoretically studied. It is known that the steady-state rate of coalescence cannot be obtained by taking the long-time limit of the coalescence rate when the membrane is regarded as an infinite two-dimensional (2D) system. The steady-state rate of coalescence is obtained by explicitly taking into account the spherical vesicle shape. Using the expression of the 2D diffusion coefficient obtained in the limit of small domain size, an analytical expression for the domain growth kinetics is obtained when the circular shape is always maintained. For large domains, the growth kinetics is discussed by investigating the size dependence of the coalescence rate using the expression for the diffusion coefficient of arbitrary domain size.
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