Equilibrium Cantor-type sets are suggested. This allows to obtain Green functions with various moduli of continuity and compact sets with preassigned growth of Markov’s factors.

Response of the electronic current through an Aharonov-Bohm ring after a two-level-system is switched on is calculated perturbatively by use of non-equilibrium Green function. In the ballistic case the amplitude of the Aharonov-Bohm oscillation is shown to decay to a new equilibrium value due to scattering into other electronic states. Relaxation of Altshuler-AronovSpivak oscillation in diffusi...

We study numerically the transition between organized and disorganized states of three non equilibrium systems in their respective scaling regimes. The first system is the Poisson/coalesce random walk (PCRW) where the particles describe independent random walks and when two particles meet they could coalesce with probability k, otherwise, they interchange their positions. The second system is a...

The subject of non-equilibrium thermodynamics is now quite old, dating back to Prigogine, Biot and Truesdell in the 1950’s and 1960’s. It has had a resurgence in the physical sciences in the past five years largely due to a consolidation of ideas on thermodynamics as a whole and to advances in computer speeds. Non-equilibrium thermodynamics has now advanced to a stage where it forms an umbrella...