Translocation of an active polymer into a two dimensional circular nano-container

Translocation dynamics of an active semi-flexible polymer through a nano-pore into a rigid two dimensional circular nano-container has been studied by using Langevin dynamics simulations. The results show that the force exponentβ, for regime of small nano-container radius, i.e.R≪Rg, whereR_gis the gyration radius of the passive semi-flexible polymer in two dimensional free space, isβ=-1, while for large values ofR≫Rgthe asymptotic value of the force exponent isβ≈-0.93. The force exponent is defined by the scaling form of the average translocation time⟨τ⟩∝Fspβ, whereF_spis the self-propelling force. Moreover, using the definition of the turning number (number of net turns of the polymer configuration) for the polymer inside the cavity, it has been found that at the end of translocation process for small value ofRand in the strong force limit the polymer configuration is more regular than the case in which the value ofRis large or the force is weak.