ar X iv : c on d - m at / 9 50 70 37 v 2 1 3 Ju l 1 99 5 A new sound mode in liquid 4 He ?

ar X iv : c on d - m at / 9 50 70 89 v 2 3 1 Ju l 1 99 5 Is there a renormalization of the 1 D conductance in Luttinger Liquid model ?

Properties of 1D transport strongly depend on the proper choice of boundary conditions. It has been frequently stated that the Luttinger Liquid (LL) conductance is renormalized by the interaction as g e 2 h. To contest this result I develop a model of 1D LL wire with the interaction switching off at the infinities. Its solution shows that there is no renormalization of the universal conductance...

ar X iv : c on d - m at / 9 90 73 37 v 1 2 2 Ju l 1 99 9 Nucleation in dilute 3 He - 4 He liquid mixtures at low temperatures

We present a study of phase separation from supersaturated 3 He-4 He liquid mixtures at low temperatures addressing both the degree of critical super-saturation ∆x cr and the thermal-to-quantum crossover temperature T * for the nucleation process. Two different nucleation seeds are investigated, namely 3 He droplets and 4 He vortex lines with cores filled with 3 He. We have found that the exper...

ar X iv : c on d - m at / 9 30 70 20 v 2 2 1 Ju l 1 99 3 Dissipation of the 3 He A → B Transition

A rigorous hydrodynamic theory of the A-B transition is presented. All dissi-pative processes are considered. At low interface velocities, those occurring on hy-drodynamic length scales, not considered hitherto, are most probably the dominant ones.

ar X iv : d g - ga / 9 50 70 04 v 1 2 4 Ju l 1 99 5 LOCALISATION OF THE DONALDSON ’ S INVARIANTS ALONG SEIBERG - WITTEN CLASSES

This article is a first step in establishing a link between the Donaldson polynomials and Seiberg-Witten invariants of a smooth 4-manifold.

ar X iv : c on d - m at / 9 50 80 62 v 1 3 1 Ju l 1 99 5 QUANTUM THEORY OF LARGE SYSTEMS OF NON - RELATIVISTIC MATTER