Abstract
To understand the dynamic process of polymerdetachment,it is necessary to determine the mean detachment time of a single break-able link,which is modeled as a spring.Normally,this time can be viewed as the escape of a Brownian particle from the potential well of the spring.However,as the free dangling length of the polymer chain increases,the conformational entropy of the chain is affected by geometric confinement.It means that the wall exerts a repulsive force on the chain,resulting in accelerated link detachment from a macroscopic perspec-tive.In this work,we investigate the effect of entropy on the detachment rate in the case where the substrate is spherical.We demonstrate that spherical confinement accelerates chain detachment both inside and outside the sphere.An analytical expression for the mean detachment time of breakable links is given,which includes an additional pre-factor that is related to the partition function.Additionally,we analyze the expres-sions for entropic forces inside the sphere,outside the sphere,and on a flat wall,comparing their magnitudes to explain the difference in mean detachment time.
基金项目
National Natural Science Foundation of China(51965057)
Xinjiang Tianchi PhD Project(TCBS202113)
Natural Science Foundation of Xinjiang(2022D01C34)
Xinjiang Basic Research Funds for Universities(XJEDU2022P017)
Robot-Intelligent Equipment Technology Innovation(2022D14002)
Xinjiang Tianshan Science Technology Innovation Leading Talents Program(2022TSYCLJ0044)
维普
万方数据