ar X iv : 0 80 5 . 07 54 v 1 [ co nd - m at . d is - n n ] 6 M ay 2 00 8 spin glass identities and the nishimori line

ar X iv : 0 80 5 . 07 54 v 2 [ co nd - m at . d is - n n ] 1 3 M ay 2 00 8 spin glass identities and the nishimori line

For a general spin glass model with asymmetric couplings we prove a family of identities involving expectations of generalized overlaps and magnetizations in the quenched state. Those identities holds pointwise in the Nishimori line and are reached at the rate of the inverse volume while, in the general case, they can be proved in integral average.

ar X iv : 0 80 1 . 25 00 v 1 [ co nd - m at . o th er ] 1 6 Ja n 20 08 Making , probing and understanding ultracold Fermi

ar X iv : 0 80 5 . 13 92 v 1 [ co nd - m at . d is - n n ] 9 M ay 2 00 8 Network rigidity and dynamics of oxides

If a hierarchy of interatomic interactions exists in a solid, low-frequency modes can be found from viewing this solid as a mechanical network. In this case, the low-frequency modes are determined by the network rigidity. We study the low-frequency modes (rigid unit modes, or RUMs) in several important oxide materials and discuss how the RUMs affect their properties. In SiO2 glass, the ability ...

ar X iv : 0 80 5 . 09 92 v 1 [ m at h . C O ] 7 M ay 2 00 8 FIBONACCI IDENTITIES AND GRAPH COLORINGS

We generalize both the Fibonacci and Lucas numbers to the context of graph colorings, and prove some identities involving these numbers. As a corollary we obtain new proofs of some known identities involving Fibonacci numbers such as Fr+s+t = Fr+1Fs+1Ft+1 + FrFsFt − Fr−1Fs−1Ft−1.

ar X iv : 0 80 5 . 24 44 v 1 [ m at h . A G ] 1 6 M ay 2 00 8 Symmetry and holomorphy of the second member of the second Painlevé hierarchy

We study symmetry and holomorphy of the second member of the second Painlevé hierarchy P (2) II .