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Preparation of Free-Surface Hyperbolic Water Vortices

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Towards hydrodynamics without an entropy current.

Kristan Jensen¹, Matthias Kaminski, Pavel Kovtun

¹Department of Physics and Astronomy, University of Victoria, Victoria, British Columbia, Canada.

Physical Review Letters

|September 26, 2012

Summary

We developed a new generating functional to study relativistic systems. This method efficiently calculates thermodynamic responses and correlation functions without solving complex hydrodynamic equations.

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Area of Science:

Relativistic systems
Thermodynamics
Hydrodynamics

Background:

Understanding equilibrium thermodynamic response in relativistic systems is crucial.
Existing methods for calculating response parameters in relativistic hydrodynamics can be complex.

Purpose of the Study:

To present a novel generating functional for describing the equilibrium thermodynamic response of relativistic systems.
To derive constraints on relativistic hydrodynamics response parameters using a variational principle.
To provide an efficient method for computing correlation functions.

Main Methods:

Utilizing a generating functional to model relativistic system response.
Applying a variational principle to derive hydrodynamic constraints.
Employing the hydrodynamic derivative expansion for calculations.

Main Results:

The generating functional successfully describes equilibrium thermodynamic response.
The variational principle yields constraints on response parameters without an entropy current.
The method reproduces and extends existing literature results.
Efficient computation of n-point zero-frequency correlation functions is achieved.

Conclusions:

The presented generating functional offers a powerful tool for relativistic system analysis.
This approach simplifies the derivation of hydrodynamic constraints.
The technique provides an efficient alternative for calculating correlation functions in hydrodynamics.