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[CM ICTP - Trieste]

Condensed Matter Physics Associates’ Meeting
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" Variational approach to hydrodynamics of superfluid systems "



Speaker: Alexander PELETMINSKII
(Akhiezer Institute for Theoretical Physics, National Science Center 
KIPT, Kharkov, Ukraine)

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Time: 16:00 hours

Venue: Lecture Room B (Terrace level, Main Building)

Date: Thursday, 19 July 2007


	
Abstract

We study the variational approach to hydrodynamics of superfluid 
systems.  We construct an effective Lagrangian describing the 
non-dissipative hydrodynamics of a more general system that is a 
supersolid phase.  The Hamilton equations of motion are obtained from 
the principle of stationary action.  The closed algebra of Poisson 
brackets is also found.  The Hamilton equations of motion in the 
leading approximation with respect to spatial gradients of local 
thermodynamic variables result in hydrodynamic equations.  It is shown 
that hydrodynamic equations coincide with the supersolid 
Andreev-Livshitz hydrodynamics (non-dissipative) if to impose the 
constraint on thermodynamic potential associated with Galilean 
invariance.  An effective Lagrangian also describes the ordinary 
superfluid hydrodynamics.

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