1204.4064 (Dragos-Victor Anghel)

Fractional exclusion statistics vs. Fermi liquid theory -- a paradigm
shift    [PDF]

Dragos-Victor Anghel

I show that interacting particle systems can be described as gases of ideal quasiparticles only in the fractional exclusion statistics (FES) formalism. I exemplify this on the Landau's Fermi liquid theory (FLT). The typical gas of quasiparticles used in the FLT (called here the Landau's gas, LG) is not thermodynamically equivalent with the original gas of interacting particles that it is supposed to describe. Therefore I redefine the quasiparticles, which now form an ideal FES gas with an internal energy identical to the internal energy of the original system. As a consequence, the thermodynamic properties of the ideal quasiparticle gas are identical to the thermodynamic properties of the original system. As a corollary to this method, I show that the LG may be formulated as an ideal FES gas, but since this system is not thermodynamically equivalent to the original system, it is useless in this problem. Overall, I show that the FES is the general and only paradigm to describe an interacting particle system as an ideal gas of quasiparticles.

View original: http://arxiv.org/abs/1204.4064