Abstract

In the celebrated paper on the reciprocal relation for the kinetic coefficients in irreversible processes, Onsager extended Rayleigh’s principle of the least energy dissipation to general irreversible processes. The principle has been shown to be useful in deriving basic equations which describe non-linear and non-equilibrium phenomena in soft matter[1, 2]. Here I will show that the principle is useful in getting an approximation solutions³. Examples are given for contact line dynamics of liquid[4,5] and gelation dynamics⁶.

REFERENCES 1. Masao Doi, Soft Matter Physics, Oxford University Press, p1-257 (2013) 2. Masao Doi, Onsager’s variational principle in soft matter dynamics, in Non-Equilibrium Soft Matter Physics ed S. Komura and T. Ohta, World Scientific p 1-35 (2012) 3. Masao Doi, Onsager principle as a tool for approximation, Chin. Phys. B Vol. 24, 020505, (2015) 4. Ring to Mountain Transition in Deposition Pattern of Drying Droplets, Xingkun Man and Masao Doi, Phys. Rev. Lett. 116, 066101 (2016) 5. Theoretical Analysis for Meniscus Rise of a Liquid Contained between a Flexible Film and a Solid Wall Yana Di, Xianmin Xu and Masao Doi, EPL 113 36001 1 -4 (2016) 6. Solute based Lagrangian scheme in modeling the drying process　of soft matter solutions, Fanlong Meng,Ling Luo, Masao Doi, and Zhongcan Ouyang,　Eur. Phys. J. E 39 , 22 1-10 (2016)