Classical and relativistic dynamics of supersolids: variational principle

Details Classical and relativistic dynamics of supersolids: variational principle Classical and relativistic dynamics of supersolids: variational principle

2008-02-14

arxiv.org/abs/0802.1991v2

J. Phys. A: Math. Theor. 42, 045501 (2009)

Physics

Condensed Matter

Statistical Mechanics

22 pages, changed title and content, added references

Scientific paper

10.1088/1751-8113/42/4/045501

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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