ar X iv : c on d - m at / 0 30 33 30 v 1 1 8 M ar 2 00 3 Hysteresis loop of a nanoscopic magnetic array

ar X iv : c on d - m at / 0 30 35 00 v 1 2 4 M ar 2 00 3 From nonwetting to prewetting : the asymptotic behavior of 4 He drops on alkali substrates

We investigate the spreading of 4 He droplets on alkali surfaces at zero temperature, within the frame of Finite Range Density Functional theory. The equilibrium configurations of several 4 He N clusters and their asymptotic trend with increasing particle number N , which can be traced to the wetting behavior of the quantum fluid, are examined for nanoscopic droplets. We discuss the size effect...

ar X iv : 0 71 2 . 22 30 v 3 [ m at h . D G ] 6 M ar 2 00 8 η Forms and Determinant Lines

ar X iv : g r - qc / 0 30 30 64 v 1 1 8 M ar 2 00 3 Existence of initial data satisfying the constraints for the spherically symmetric Einstein - Vlasov - Maxwell system

Using ODE techniques we prove the existence of large classes of initial data satisfying the constraints for the spherically symmetric EinsteinVlasov-Maxwell system. These include data for which the ratio of total charge to total mass is arbitrarily large.

ar X iv : m at h - ph / 0 30 30 33 v 1 1 3 M ar 2 00 3 Strong - coupling asymptotic expansion for Schrödinger operators with a singular

We investigate a class of generalized Schrödinger operators in L 2 (R 3) with a singular interaction supported by a smooth curve Γ. We find a strong-coupling asymptotic expansion of the discrete spectrum in case when Γ is a loop or an infinite bent curve which is asymptotically straight. It is given in terms of an auxiliary one-dimensional Schrödinger operator with a potential determined by the...

ar X iv : c on d - m at / 0 10 30 52 v 1 2 M ar 2 00 1 NMR Frequencies of a Splay Soliton in 3 He - A

Superfluid 3 He-A has domain-wall like structures, which are called solitons. We calculate numerically the structure of a splay soliton and study its effect on the NMR spectrum by calculating the frequency and the amplitude of the soliton peaks. We compare the results with experiments and discuss their implications on the basic parameters of 3 He.