Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids

Abstract

We present in a local form the time dependent effective description of a superfluid Fermi liquid which includes Landau damping effects at T = 0. This is achieved by the introduction of an additional variable, the quasiparticle distribution function, which obeys a simple kinetic equation. The transport equation is coupled with first order equations for the Goldstone mode and the particle density. We prove that a main feature of this formulation is its Hamiltonian structure relative to a certain Poisson bracket. We construct the Hamiltonian to quadratic order.

Reversible dissipative processes, conformal motions and Landau damping

“…On the basis of this argument one might speculate about the possibility that the force exerted by the electric wave could be interpreted as a collisional term, producing an irreversible process. This however seems not to be the case as it follows from the fact that Landau damping can be described by a Hamiltonian formulation thus demonstrating its conservative character [20].…”