Abstract: |
In quantum kinetic theory, the Boltzmann-Fermi-Dirac equation is the model that governs the evolution of a gas of fermions. At extremely low temperatures, fermions transition into a superfluid phase called a fermionic condensate. This superfluid phase is characterized by an equilibrium state of the Boltzmann-Fermi-Dirac equation, where all particles occupy their lowest energy levels while obeying the Pauli exclusion principle. Our objective is to demonstrate how to derive the acoustic equations for fermionic condensates as a hydrodynamic limit of the Boltzmann-Fermi-Dirac equation. This is a joint work with Diogo Ars\`enio. |
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