Geodesic
Principle of stationary action in the~theory of superfluid systems with spontaneously broken translational symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 2, pp. 333-351

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We construct a Lagrangian describing the low-frequency dynamics of a system with spontaneously broken phase and translational symmetry (a supersolid). Using the principle of stationary action, we obtain the hydrodynamic equations for the considered system. We give a relativistic generalization of the obtained equations of motion in terms of the Gibbs thermodynamic potential density.
Keywords: Lagrangian, superfluidity, lattice, equation of motion, relativistic invariance.
Mots-clés : hydrodynamic equation 
@article{TMF_2009_160_2_a7,
     author = {A. S. Peletminskii and S. V. Peletminskii},
     title = {Principle of stationary action in the~theory of superfluid systems with spontaneously broken translational symmetry},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {333--351},
     publisher = {mathdoc},
     volume = {160},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_160_2_a7/}
}
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A. S. Peletminskii; S. V. Peletminskii. Principle of stationary action in the~theory of superfluid systems with spontaneously broken translational symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 2, pp. 333-351. http://geodesic.mathdoc.fr/item/TMF_2009_160_2_a7/