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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

  • 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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