Fluctuating viscoelasticity based on a finite number of dumbbells.

摘要: Two alternative routes are taken to derive, on the basis of dynamics a finite number dumbbells, viscoelasticity in terms conformation tensor with fluctuations. The first route is direct approach using stochastic calculus only, and it serves as benchmark for second route, which guided by thermodynamic principles. In latter, Helmholtz free energy generalized relaxation play key role. It shown that results two agree only if finite-size contribution into account. Using statistical mechanics, this derived explicitly paper large class models; non-zero whenever dumbbells volume observation finite. noted does not need any correction.