ar X iv : 0 70 4 . 02 39 v 1 [ co nd - m at . s of t ] 2 A pr 2 00 7 Interface dynamics of microscopic cavities in water

ar X iv : 0 70 4 . 39 02 v 1 [ m at h . PR ] 3 0 A pr 2 00 7 On the number of collisions in Λ - coalescents ∗

We examine the total number of collisions Cn in the Λ-coalescent process which starts with n particles. A linear growth and a stable limit law for Cn are shown under the assumption of a power-like behaviour of the measure Λ near 0 with exponent 0 < α < 1.

ar X iv : 0 70 8 . 24 01 v 1 [ co nd - m at . s of t ] 1 7 A ug 2 00 7 Hydrodynamics of self - propelled hard rods

Motivated by recent simulations and by experiments on aggregation of gliding bacteria, we study a model of the collective dynamics of self-propelled hard rods on a substrate in two dimensions. The rods have finite size, interact via excluded volume and their dynamics is overdamped by the interaction with the substrate. Starting from a microscopic model with non-thermal noise sources, a continuu...

ar X iv : h ep - t h / 03 02 00 7 v 3 2 8 A pr 2 00 3 April 2003 Stability Issues for w < − 1 Dark Energy

Precision cosmological data hint that a dark energy with equation of state w = P/ρ < −1 and hence dubious stability is viable. Here we discuss for any w nucleation from Λ > 0 to Λ = 0 in a first-order phase transition. The critical radius is argued to be at least of galactic size and the corresponding nucleation rate glacial, thus underwriting the dark energy’s stability and rendering remote an...

ar X iv : 0 70 4 . 01 15 v 2 [ m at h . G T ] 9 A pr 2 00 7 Smooth maps with singularities of bounded K - codimensions ∗ † Yoshifumi ANDO

ar X iv : 0 70 7 . 42 37 v 2 [ co nd - m at . s up r - co n ] 2 3 M ar 2 00 8 Fluctuation spectroscopy of granularity in superconducting structures

We suggest to use ‘fluctuation spectroscopy’ as a method to detect granularity in a disordered metal close to a superconducting transition. We show that with lowering temperature T the resistance R(T ) of a system of relatively large grains initially grows due to the fluctuation suppression of the one-electron tunneling but decreases with further lowering T due to the coherent charge transfer o...