Onsager's variational principle in soft matter
Onsager's variational principle in soft matter
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DOI：
10.1088/0953-8984/23/28/284118
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发表时间：
2011-07-20
影响因子：
2.7
通讯作者：
Doi, Masao
中科院分区：
文献类型：
--
作者：
Doi, Masao
Onsager（1931 Phys.Rev.37405）在关于不可逆过程动力学系数的倒数关系的著名论文中，把Rayleigh的最小能量耗散原理推广到一般的不可逆过程。在本文中，我将表明，这种变分原理给我们一个非常方便的框架，推导出许多既定的方程，描述非线性和非平衡现象的软物质，如相分离动力学的解决方案，凝胶动力学，分子建模的粘弹性线虫流体力学等Onsager的变分原理，因此可以被视为一个坚实的一般基础软物质物理。
In the celebrated paper on the reciprocal relation for the kinetic coefficients in irreversible processes, Onsager (1931 Phys. Rev. 37 405) extended Rayleigh's principle of the least energy dissipation to general irreversible processes. In this paper, I shall show that this variational principle gives us a very convenient framework for deriving many established equations which describe the nonlinear and non-equilibrium phenomena in soft matter, such as phase separation kinetics in solutions, gel dynamics, molecular modeling for viscoelasticity nemato-hydrodynamics, etc. Onsager's variational principle can therefore be regarded as a solid general basis for soft matter physics.