京大工学部８号館共同５講義室

Stefano Ruffo

『Slow dynamics in systems with long-range interactions』

I will review several non-equilibrium dynamical effects characteristic of systems with long-range interactions. In particular, the intriguing formation of quasi-stationary states, which evolve to equilibrium slower and slower as system size increases. In this respect, I will discuss several models which show such features, beginning with simple mean-field models of the Ising or the XY type. References: -J. Barre', T. Dauxois, G. De Ninno, D. Fanelli and S. Ruffo: ``Statistical theory of high-gain free-electron laser saturation", Phys. Rev. E, Rapid Comm. {\bf 69}, 045501 (R) (2004). -Y. Yamaguchi, J. Barre', F. Bouchet, T. Dauxois, S. Ruffo: ``Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model", Physica A, {\bf 337}, 36 (2004). -D. Mukamel, S. Ruffo and N. Schreiber: "Microcanonical dynamics and breaking of ergodicity in systems with long-range interactions", submitted to Phys. Rev. Lett., {\bf 95}, 240604 (2005).

Last modified: Fri Jun 9 16:28:50 2006