论文标题
基于有限数量的哑铃的波动粘弹性
Fluctuating viscoelasticity based on a finite number of dumbbells
论文作者
论文摘要
根据有限数量的哑铃数量的动力学，采用两种替代路线来得出，这是根据波动的构型张量来粘弹性的。第一个途径是仅使用随机演算的直接方法，它是第二个途径的基准，该途径以热力学原理为指导。在后者中，Helmholtz自由能和广义的松弛张量发挥着关键作用。结果表明，只有考虑到对构象张量的Helmholtz自由能的有限尺寸贡献，这两种途径的结果才同意。使用统计力学，本文在本文中针对大型模型明确得出了这种有限尺寸的贡献。每当观察量中的哑铃数量是有限的时，这种贡献就不在零。注意到，构象张量的广义松弛张量不需要任何有限尺寸的校正。
Two alternative routes are taken to derive, on the basis of the dynamics of a finite number of dumbbells, viscoelasticity in terms of a conformation tensor with fluctuations. The first route is a direct approach using stochastic calculus only, and it serves as a benchmark for the second route, which is guided by thermodynamic principles. In the latter, the Helmholtz free energy and a generalized relaxation tensor play a key role. It is shown that the results of the two routes agree only if a finite-size contribution to the Helmholtz free energy of the conformation tensor is taken into account. Using statistical mechanics, this finite-size contribution is derived explicitly in this paper for a large class of models; this contribution is non-zero whenever the number of dumbbells in the volume of observation is finite. It is noted that the generalized relaxation tensor for the conformation tensor does not need any finite-size correction.
