Recent neutrino oscillation experiments are yielding valuable information on the nature of neutrino masses and mixings even though we are far from a complete understanding of the new physics implied by them. In these lectures, I summarize the current theoretical status of neutrino mass physics. ∗Lectures delivered at the NEUPAST school at the Abdus Salam ICTP, Trieste in October, 2002; parts of...

S.M. Soskin,a,b,c∗ P.V.E. McClintock, T.M. Fromhold, I.A. Khovanov and R. Mannella Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, 03028 Kiev, Ukraine Abdus Salam ICTP, 34100 Trieste, Italy Physics Department, Lancaster University, Lancaster LA1 4YB, UK School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, UK School of Engineering, Universit...

* We are indebted to Robin Pemantle for suggestions that led to the development of Theorem 2, and to Jeroen Swinkels for a very helpful conversation. We have benefitted from the comments of seminar participants at the Games 2002. McLennan gratefully acknowledges the hospitality of the Abdus Salam International Center for Theoretical Physics and the Institute for Social and Economic Research. We...

We have studied by means of Monte-Carlo simulation and exact finite-size analysis, the spin-1 Blume Capel model with Glauber and Kawasaki dynamics. The Kawasaki spin exchange process flows energy into the system from an external source. Some phase diagrams of the model are presented. For some values of the parameters, the system displays a kind of self organization phenomenon within the disorde...