OLIVETTI , Alain

A large number of physical systems present long range interactions : self-gravitating systems, plasmas, vortex interactions... and thus share some properties. In this thesis, we have another experimental system in view: cold atoms; in that case, absorption/emission of photons create effective long range interactions. During a specific time...

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We investigate the asymptotic behavior of a perturbation around a spatially non homogeneous stable stationary state of a one-dimensional Vlasov equation. Under general hypotheses, after transient exponential Landau damping, a perturbation evolving according to the linearized Vlasov equation decays algebraically with the exponent -2 and a well...

Landau damping is a fundamental phenomenon in plasma physics, which also plays an important role in astrophysics, and sometimes under different names, in fluid dynamics and other fields. Its theoretical discussion in the framework of the Vlasov equation often assumes that the reference stationary state is homoge-neous in space. However, Landau...

By means of a dynamical ansatz, we study the breathing dynamics in systems of trapped interacting particles in a unified context, including a wide range of power law interactions and interaction strengths, at linear and non linear levels. We present detailed numerical tests of the general theory, and, motivated by Magneto-Optical Traps...

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