中文摘要：

本文采用Helfrich理论模型研究双柱胶体粒子与管状生物膜的相互作用．通过对柱状粒子与不同半径的管状膜吸附时的自由能分析发现，该体系存在具有较小包络角的弱吸附相以及具有较大包络角的深度吸附相．进一步研究发现体系从解吸附相到弱吸附相的相变是二级相变，而从弱吸附相到深度吸附相的相变是一级相变．双柱粒子与管状膜相对位置的不同会影响体系相变和结构．

英文摘要：

The adhesion of two cylindrical colloids to a tubular membrane is investigated theoretically in terms of the full treatment of Helfrich model. By analyzing the free energy of the system, it is found that this adhesion can produce both shallow wrapping with relatively small wrapping angle and deep wrapping with big wrapping angle. A second-order adhesion transition from the desorbed to weakly adhered state is found, and a first-order phase transition where the cylindrical colloids undergo an abrupt transition from weakly adhered to strongly adhered state can be obtained as well. Different relative positions between rigid cylinders and membrane tube will affect the phase transition and structure of the system.