Thermodynamically consistent incorporation of entanglement spatial fluctuations in the slip-link model.

We evaluate the thermodynamic consistency of the anisotropic mobile slip-link model for entangled flexible polymers. The level of description is that of a single chain, whose interactions with other chains are coarse grained to discrete entanglements. The dynamics of the model consist of the motion of entanglements through space and of the chain through the entanglements, as well as the creation and destruction of entanglements, which are implemented in a mean-field way.

Derivation of free energy expressions for tube models from coarse-grained slip-link models.

We present the free energy of a single-chain mean-field model for polymer melt dynamics, which uses a continuous (tube-like) approximation to the discrete entanglements with surrounding chains, but, in contrast to previous tube models, includes fluctuations in the number density of Kuhn steps along the primitive path and in the degree of entanglement. The free energy is obtained from that of the slip-link model with fluctuating entanglement positions [J. D.

Laplace's law and the interfacial momentum source in two-phase models.

A two-phase flow model with liquid-solid transformation [M. Hütter, Phys. Rev.