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Title:
A general theory of fluid dynamics with and without boost symmetries
Speaker:
Abstract:
System that are characterized by a dynamical scaling exponent z>1 can have Galilean (non-relativistic) or Carrollian (ultra-relativistic) boost invariance, but generically have no boost symmetries at all. In this talk I will discuss how to describe such theories in the hydrodynamic limit. More explicitly, I will first discuss an ideal gas of particles with dispersion relation w ~ k^z for any z. I will then describe the general thermodynamic properties of systems with no boost symmetries by introducing velocity as a chemical potential whose conjugate variable is momentum. This can be used to give a description of perfect fluids with no presupposed knowledge of its boost symmetries if any. Finally, I will discuss first order corrections for Galilean and Carrollian invariant fluids and show that generic uncharged Lifshitz hydrodynamics is described by 11 transport coefficients at first order.
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