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arXiv math-ph/0407036math-phmath.MP
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无公度共生化合物和准晶的非线性流体力学

Non-linear hydrodynamics of incommensurate intergrowth compounds and quasicrystals

Paolo Maria Mariano

摘要:

构造了无公度共生化合物(IIC)和准晶(IQ)非线性流体力学的哈密顿结构。本文还讨论了相子性质的内耗的计算方法。我们证明了IIC和IQ中自作用力的存在不仅是本构问题,而且与SO(3)不变性问题有关。分析了准周期结构中不连续面的协变机制。注意力主要集中在“扩散”晶界和尖锐的不连续性(移动可能)表面之间的相互作用。

英文摘要:

Hamiltonian structures for non-linear hydrodynamics of incommensurate intergrowth compounds (IIC) and quasicrystals (IQ) are constructed. We discuss also the way to account for internal friction of phason nature. We show that the existence of a self-force in IIC and IQ is not only matter of constitutive issues, rather it is related with questions of SO(3) invariance. The covariant mechanics of discontinuity surfaces in quasiperiodic structures is also analyzed. The attention is mainly focused on the interaction between `diffuse' grain boundaries and sharp discontinuity (moving possibly) surfaces.

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