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To illustrate specifically quantum behaviours, the talk will consider three typical problems for non-linear kinetic models evolving through pair collisions at temperatures not far from absolute zero. Based on those examples, a number of differences between quantum and classical Boltzmann theory is discussed in more general term.

82D50 ; 76Y05 ; 82D30 ; 35Q60 ; 35Q55

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Classical and non-classical flows of superfluids - Barenghi, Carlo (Auteur de la Conférence) | CIRM H

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Superfluids are remarkable because they lack mechanisms of viscous dissipations, and because vorticity is concentrated in thin vortex lines - a property which arises from the existence and uniqueness of a macroscopic wave function. In this talk I shall review recent experiments and numerical simulations which reveal analogies and differences between the flow of ordinary fluids and the flow of superfluids. In particular, I shall describe conditions under which, in a homogeneous isotropic turbulent superfluid away from boundaries, the distribution of kinetic energy over the length scales is similar to the classical Kolmogorov distribution, and new insight into the properties of superfluid flow near boundaries.[-]
Superfluids are remarkable because they lack mechanisms of viscous dissipations, and because vorticity is concentrated in thin vortex lines - a property which arises from the existence and uniqueness of a macroscopic wave function. In this talk I shall review recent experiments and numerical simulations which reveal analogies and differences between the flow of ordinary fluids and the flow of superfluids. In particular, I shall describe ...[+]

82D50 ; 76A25 ; 76B47

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