| Poisson括号方法及其在准晶、液晶和一类软物质中的应用 |
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| 引用本文： | 范天佑.Poisson括号方法及其在准晶、液晶和一类软物质中的应用[J].力学学报,2013,45(4):548. |
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| 作者姓名： | 范天佑 |
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| 作者单位： | 北京理工大学物理学院, 北京 100081 |
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| 基金项目： | 国家自然科学基金资助项目，The project was supported by the National Natural Science Foundation of China |
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| 摘 要： | 对凝聚态物理学中的Poisson 括号及有关Lie群和Lie代数方法做了介绍. 同时介绍了在准晶、液晶和一类软物质研究中的应用.不仅介绍了推导以上物质的流体动力学方程或弹性-流体动力学方程, 也讨论了某些方程的解, 这种解还揭示了国外著名权威的经典解的错误.
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| 关 键 词： | Poisson 括号 准晶 液晶 软物质 运动方程 解析解 |
| 收稿时间： | 2012-12-06 |
| 修稿时间： | 2013-03-20 |
POISSON BRACKET METHOD AND ITS APPLICATIONS TO QUASICRYSTALS,LIQUID CRYSTALS AND A CLASS OF SOFT MATTER |
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| Fan Tianyou.POISSON BRACKET METHOD AND ITS APPLICATIONS TO QUASICRYSTALS,LIQUID CRYSTALS AND A CLASS OF SOFT MATTER[J].chinese journal of theoretical and applied mechanics,2013,45(4):548. |
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| Authors: | Fan Tianyou |
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| Affiliation: | School of Physics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | This paper gives an introduction on the Poisson bracket method in condensed matter physics, Lie group and Lie algebra and their some applications to quasicrystals, liquid crystals and a class of soft matter. It introduces not only derivation on hydrodynamic or elasto-hydrodynamic equations of the materials, but also solutions of relevant equations, some among them explore the mistakes of well-known classic solutions, in addition, the equations and solutions on soft matter quasicrystals are observed for the first time. |
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| Keywords: | Poisson brackets quasicrystals liquid crystals soft matter equations of motion analytic solutions |
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