论文标题

共聚的星星在表面上吸附并受到力的影响:自我避免行走模型

Copolymeric stars adsorbed at a surface and subject to a force: a self-avoiding walk model

论文作者

van Rensburg, EJ Janse, Whittington, SG

论文摘要

我们考虑了基于自我避免步道的恒星共聚物模型,在该步行中,恒星的臂可以化学上不同。共聚的恒星附着在单位度的顶点处的不可穿透表面,而构成恒星的不同单体与表面具有不同的相互作用强度。当恒星吸附在表面上时,可以通过施加1度的顶点或恒星中心顶点的力来解吸。我们对系统的自由能给出了一些严格的结果,并使用这些结果来建立相图的一般形式,以及系统中某些相变的顺序。我们还考虑了蜘蛛的特殊情况,即恒星被限制在表面上具有所有度1个顶点。

We consider a model of star copolymers, based on self-avoiding walks, where the arms of the star can be chemically distinct. The copolymeric star is attached to an impenetrable surface at a vertex of unit degree and the different monomers constituting the star have different interaction strengths with the surface. When the star is adsorbed at the surface it can be desorbed by applying a force, either at a vertex of degree 1 or at the central vertex of the star. We give some rigorous results about the free energy of the system and use these to establish the general form of the phase diagrams, and the orders of certain phase transitions in the system. We also consider the special case of spiders, ie stars constrained to have all degree 1 vertices in the surface.

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