摘要翻译：
我们给出了一个现象学拉格朗日和泊松括号，用于获得超球体的非耗散流体动力学理论。在统一非平衡态热力学和经典场论原理的基础上，构造了一个拉格朗日方程。支配超球体动力学的泊松括号是由所找到的拉格朗日运动学部分的不变性要求唯一确定的。讨论了拉格朗日方程的推广，以包括涡旋动力学。所得到的运动方程不考虑任何与伽利略或洛伦兹不变性有关的动力学对称性。如果需要伽利略不变性，它们可以化为原来的Andreev-Lifshitz方程。我们还提出了一个相对论不变的超流体动力学，它可能在天体物理应用中有用。
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英文标题：
《Classical and relativistic dynamics of supersolids: variational
  principle》
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作者：
A.S. Peletminskii
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最新提交年份：
2009
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We present a phenomenological Lagrangian and Poisson brackets for obtaining nondissipative hydrodynamic theory of supersolids. A Lagrangian is constructed on the basis of unification of the principles of non-equilibrium thermodynamics and classical field theory. The Poisson brackets, governing the dynamics of supersolids, are uniquely determined by the invariance requirement of the kinematic part of the found Lagrangian. The generalization of Lagrangian is discussed to include the dynamics of vortices. The obtained equations of motion do not account for any dynamic symmetry associated with Galilean or Lorentz invariance. They can be reduced to the original Andreev-Lifshitz equations if to require Galilean invariance. We also present a relativistic-invariant supersolid hydrodynamics, which might be useful in astrophysical applications.
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PDF链接：
https://arxiv.org/pdf/802.1991