Physical systems characterized by long range interactions are ubiquitous, encompassing systems as diverse as self-gravitating bodies in astrophysics, plasmas, lasers, cold atoms in the laboratory, and even biological systems. One of the main results of recent years about such systems is that, quite generically, they relax, on times scales characterized by the mean force field, towards long-lived macroscopic states called quasi-stationary states (QSS) [e.g. galaxies in astrophysics, the red spot of Jupiter, steady states of free electron laser]. These out-of-equilibrium states have a typical life-time diverging with particle number, while on shorter time scales they are described within the framework of the Vlasov equation. These results apply to strictly conservative systems in a microcanonical framework, and the question inevitably arises of the robustness of such states beyond this idealized limit.

### Books

- Dynamics and thermodynamics of systems with long‐range interactions

### Papers

*Formation and relaxation of quasi-stationary states in particle systems with power law interactions*, Bruno Marcos, Andrea Gabrielli, Michael Joyce, submitted to Phys.Rev.E (2017)*Attractor non-equilibrium stationary states in perturbed long-range interacting systems*Michael Joyce, Jules Morand, Pascal Viot, Phys. Rev. E 93, 052129 (2016)*Scaling quasi-stationary states in long range systems with dissipation*, Michael Joyce, Jules Morand, François Sicard, Pascal Viot, Phys. Rev. Lett, 2013- Quasi-stationary states and the range of pair interactions, Andrea Gabrielli, Michael Joyce, Bruno Marcos, Phys.Rev.Lett.105:210602,2010
- A dynamical classification of the range of pair interactions, Andrea Gabrielli, Michael Joyce, Bruno Marcos, Francois Sicard, J. Stat. Phys (2010)

Advertisements