Colloquium

Colloquium
Quasi-stationary states in mean-field dynamics Stefano Ruffo 1月8日(火) 15時00分 I will review the topic of quasi-stationary states. These states are often encountered in mean-field Hamiltonian dynamics and are robust to external and stochastic perturbations. Examples of systems where they appear are: the Hamiltonian Mean-Field (HMF) model, the Colson-Bonifacio model of a free-electron laser, wave-particle Hamiltonians. A feature of such states, which makes them truly thermodynamic, is that their lifetime typically increases as a power of system size. Besides that, they are "attractive", since one observes covergence from a different initial state. Recently, the use of Lynden-Bell entropy has been advocated to describe such states. In this talk, I will discuss the merits and drawbacks of this approach.

Quasi-stationary states in mean-field dynamics

Stefano Ruffo

1月8日(火) 15時00分

I will review the topic of quasi-stationary states. These states are often encountered in mean-field Hamiltonian dynamics and are robust to external and stochastic perturbations. Examples of systems where they appear are: the Hamiltonian Mean-Field (HMF) model, the Colson-Bonifacio model of a free-electron laser, wave-particle Hamiltonians.
A feature of such states, which makes them truly thermodynamic, is that their lifetime typically increases as a power of system size. Besides that, they are "attractive", since one observes covergence from a different initial state. Recently, the use of Lynden-Bell entropy has been advocated to describe such states.
In this talk, I will discuss the merits and drawbacks of this approach.