圆柱形凝胶溶胀动力学中的应力扩散耦合

The stress diffusion coupling in the swelling dynamics of cylindrical gels.

作者信息

Yamaue Tatsuya, Doi Masao

机构信息

Department of Applied Physics, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-8656, Japan.

出版信息

J Chem Phys. 2005 Feb 22;122(8):84703. doi: 10.1063/1.1849153.

DOI:10.1063/1.1849153

PMID:15836073

Abstract

The swelling dynamics of long cylindrical gel is analyzed by the stress diffusion coupling model [T. Yamaue and M. Doi, Phys. Rev. E 69, 41402 (2004)]. Two situations are analyzed: (i) stress induced swelling, where the swelling is caused by an elongational force applied on the gel, and (ii) free swelling, where the swelling is caused by thermodynamic force. The relaxation times characterizing these processes are calculated. It is shown that earlier calculations for the relaxation time, which are based on some physical or mathematical approximations, give results surprisingly close to the rigorous calculation, but the difference can be still seen experimentally.

摘要

通过应力扩散耦合模型[T. Yamaue和M. Doi，《物理评论E》69，41402(2004)]分析了长圆柱形凝胶的溶胀动力学。分析了两种情况：(i)应力诱导溶胀，即溶胀由施加在凝胶上的拉伸力引起；(ii)自由溶胀，即溶胀由热力学力引起。计算了表征这些过程的弛豫时间。结果表明，基于一些物理或数学近似对弛豫时间进行的早期计算，其结果令人惊讶地接近严格计算，但实验中仍可看出差异。