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Onsager principle as a tool for approximation |
Masao Doi |
Center of Soft Matter Physics and Its Applications, Beihang University, Beijing 100191, China |
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Abstract Onsager principle is the variational principle proposed by Onsager in his celebrated paper on the reciprocal relation. The principle has been shown to be useful in deriving many evolution equations in soft matter physics. Here the principle is shown to be useful in solving such equations approximately. Two examples are discussed: the diffusion dynamics and gel dynamics. Both examples show that the present method is novel and gives new results which capture the essential dynamics in the system.
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Received: 16 December 2014
Revised: 20 December 2014
Accepted manuscript online:
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PACS:
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05.70.Ln
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(Nonequilibrium and irreversible thermodynamics)
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47.15.G-
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47.63.mf
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(Low-Reynolds-number motions)
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Corresponding Authors:
Masao Doi
E-mail: masao.doi.octa.pc@gmail.com
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Cite this article:
Masao Doi Onsager principle as a tool for approximation 2015 Chin. Phys. B 24 020505
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[1] |
Onsager L 1931 Phys. Rev. 37 405
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[2] |
Onsager L 1931 Phys. Rev. 38 2265
|
[3] |
Doi M 2012 Non-Equilibrium Soft Matter Physics, ed. Komura S and Ohta T (Singapore: World Scientific) pp. 1–35
|
[4] |
Doi M 2013 Soft Matter Physics (Oxford: Oxford University Press)
|
[5] |
Onuki A 2002 Phase Transition Dynamics (Cambridge: Cambridge University Press)
|
[6] |
Doi M 2009 J. Phys. Soc. Jpn. 78 052001
|
[7] |
de Gennes P G and Prost J 1995 The Physics of Liquid Crystals (Oxford: Oxford University Press)
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[8] |
Happel J and Brenner H 1963 Low Reynolds Number Hydrodynamics (Dordrecht: Kluwer Academic Publishers)
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[9] |
Landau L D and Lifshitz E M 1982 Mechanics (Oxford: Butterworth- Heinemann)
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[10] |
Yamaue T and Doi M 2005 J. Chem. Phys. 122 084703
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[11] |
Doi M and Yamaue T 2005 Phys. Rev. E 71 041404
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