Variational bounds for the relaxation times of swelling gels

被引：9

作者：

Doi, M

Yamaue, T

机构：

[1] Univ Tokyo, Dept Appl Phys, Bunkyo Ku, Tokyo 1138656, Japan

[2] JST, CREST, Bunkyo Ku, Tokyo 1138656, Japan

来源：

PHYSICAL REVIEW E | 2005年 / 71卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.71.041404

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Variational bounds are found for the relaxation times of a gel of general shape swelling in a solvent based on the stress-diffusion coupling model. It is shown that in the case of free swelling, the longest relaxation time is inversely proportional to the osmotic modulus K in the limit of K -> 0 and K ->infinity. This indicates that the relaxation time diverges at the point of K=0. The divergence, however, disappears if a part of the gel is mechanically constrained.

引用

页数：5