Linearized regime of the generalized hydrodynamics with diffusion

Linearized regime of the generalized hydrodynamics with diffusion

Blog Article

We consider the generalized hydrodynamics including the recently introduced diffusion term for an initially inhomogeneous state in the Lieb-Liniger model.We construct a general solution to the linearized hydrodynamics equation in terms of the eigenstates of the evolution operator and study two prototypical jouer soft focus hydrate & setting powder classes of initial states: delocalized and localized spatially.We exhibit some general features of the resulting dynamics, among them, we highlight the difference between the ballistic and diffusive evolution.

The first one governs a spatial scrambling, the funko dab rig second, a scrambling of the quasi-particles content.We also go one step beyond the linear regime and discuss the evolution of the zero momentum mode that does not evolve in the linear regime.