An analytic expression for the contact value of the local density of a polymer uid under gravity was obtained from the force balance within polymers. Using Levin's argument for crystallization, we estimated the gravity-induced liquid-solid transition ...
An analytic expression for the contact value of the local density of a polymer uid under gravity was obtained from the force balance within polymers. Using Levin's argument for crystallization, we estimated the gravity-induced liquid-solid transition temperature for freely jointed tangent hardsphere chains. The weighted-density approximation based on the simple weighting function was used to calculate the local density distribution and the pressure of a freely jointed tangent hard-sphere chain at the interfaces. The theoretical results show that (i) the hard spheres easily solidify compared with the freely jointed tangent hard-sphere chains and that (ii) the gravity-induced transition temperature decreases with increasing number of monomers.