239 citations · 946 across the 32 of their papers we have counts for
32 papers
Comment on: Discontinuous codimension-two bifurcation in a Vlasov equation (arXiv:2212.01250)
Tarcísio N. Teles, Renato Pakter, Yan Levin
We comment on the recent work by Yamaguchi and Barré [Phys. Rev. E 107, 054203 (2023)], which uses linear stability analysis of the Vlasov equation to characterize phase transition…
Mixing and Ergodicity in Systems with Long-Range Interactions
Tarcísio Nunes Teles, Renato Pakter, Yan Levin
We present a theory of collisionless relaxation in systems with long-range interactions. Contrary to Lynden-Bell's theory of violent relaxation, which assumes global ergodicity and…
Entropy production and Vlasov equation for self-gravitating systems
Calvin Alexandre Fracassi Farias, Renato Pakter, Yan Levin
The evolution of a self-gravitating system to a non-equilibrium steady state occurs through a process of violent relaxation. In the thermodynamic limit the dynamics of a many body…
Linear and non-linear instabilities of Kirchhoff's Elliptical Vortices
Calvin Alexandre Fracassi Farias, Renato Pakter, Yan Levin
We investigate the stability of a uniform elliptical vortex in a two-dimensional incompressible Euler fluid. It's demonstrated that for small eccentricities, the vortex relaxes to…
Non-equilibrium Statistical Mechanics of Two-dimensional Vortices
Renato Pakter, Yan Levin
It has been observed empirically that two dimensional vortices tend to cluster forming a giant vortex. To account for this observation Onsager introduced a concept of negative abso…
Stability and self-organization of planetary systems
Rentao Pakter, Yan Levin
We show that stability of planetary systems is intimately connected with their internal order. An arbitrary initial distribution of planets is susceptible to catastrophic events in…