Heat conduction through eccentric systems with circular inner surface and regular polygonal outer surface has been analyzed. Constant wall temperature at the inner surface and convective heat transfer from the outer surface is considered. A two dimensional semi analytical method using boundary collocation technique is used in which collocation points are considered on the outer periphery of the...

We study the effects of non-magnetic impurities on the phase diagram of a system of interacting electrons with a flat Fermi surface. The one-loop Wilsonian renormalization group flow of the angle dependent diffusion function D(θ1, θ2, θ3) and interaction U(θ1, θ2, θ3) determines the critical temperature and the nature of the low temperature state. As the imperfect nesting increases the critical...

Models based on Machine Learning (ML) are pervading all fields of science and practical applications, including the problem forecasting water temperature in lakes, a crucial variable for ecosystems proxy climate change. Here, we review most used ML algorithms this field highlight some physical constraints that should be carefully considered when adopting black-box approach. To illustrate them, ...

Various types of metal-insulator transitions are discussed to find conditions for which an ideal surface of a bulk insulator is metallic. It is argued that for the correlation-driven Mott metal-insulator transition the surface phase diagram should be expected to have the same topology as the phase diagram for magnetic order at surfaces: The corresponding linearized mean-field descriptions, a si...

– Within self–consistent field theory we study the phase behaviour of a symmetric binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A component and the corresponding semi–infinite system exhibits a first order wetting transition. The surface interaction of the opposite surface is varied as to stud...

We study electric, thermal, and thermoelectric conductivities in the vicinity of a z = 2 superconductor-diffusive metal transition in two dimensions, both in the high and low frequency limits. We find violation of the Wiedemann-Franz law and a dc thermoelectric conductivity α that does not vanish at low temperatures, in contrast to Fermi liquids. We introduce a Langevin equation formalism to st...