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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): 548-559. DOI: 10.6052/0459-1879-12-346
Citation: 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): 548-559. DOI: 10.6052/0459-1879-12-346

POISSON BRACKET METHOD AND ITS APPLICATIONS TO QUASICRYSTALS, LIQUID CRYSTALS AND A CLASS OF SOFT MATTER

Funds: The project was supported by the National Natural Science Foundation of China (11272053,10672022,10372016,K19972011).
  • Received Date: December 05, 2012
  • Revised Date: March 19, 2013
  • 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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    范天佑.准晶数学弹性理论和某些有关研究的进展(上). 力学进展, 2012, 42(5): 501-521 (Fan Tianyou. Development on mathematical theory of elasticity of quasicrystals and some relevant topics. Advances in Mechanics, 2012, 42(5): 501-521 (in Chinese))
    范天佑.准晶数学弹性理论和某些有关研究的进展(下). 力学进展, 2012, 42(6): 675-691 (Fan Tianyou. Development on mathematical theory of elasticity of quasicrystals and some relevant topics. Advances in Mechanics, 2012, 42(6): 675-691
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