Twoand three-dimensional creeping flows and diffusion transport through constricted and possibly rough surfaces are studied. Asymptotic expansions of conductances are derived as functions of the constriction local geometry. The validity range of the proposed theoretical approximations is explored through a comparison either with available exact results for specific two-dimensional aperture fiel...

The 3ω method for measurement of thermal conductivity of a solid usually consists of a strip heater above a substrate, and the method is based on an approximate solution of the heat conduction problem in which the heater thickness is neglected. We establish a two-dimensional heat conduction model for the heater-on-substrate 3ω method which takes into account the finite thickness of the heater. ...

in this research ideal magnetohydrodynamics equations (mhd) has been solved in a channel of quasi one dimensional plasma flow. magnetohydrodynamics equations, including continuity, momentum, energy and induced magnetic field equations are with the respect of the gauss magnetic condition. the implemented numerical solution is based on harten, lax, vanleer (hlld) discontinuities solution methods....

We compute the universal conductivity of the (2+1)-dimensional XY universality class, which is realized for a superfluid-to-Mott insulator quantum phase transition at constant density. Based on large-scale Monte Carlo simulations of the classical (2+1)-dimensional J-current model and the two-dimensional Bose-Hubbard model, we can precisely determine the conductivity on the quantum critical plat...

Electrokinetic flows with heterogeneous conductivity configuration occur widely in microfluidic applications such as sample stacking and multidimensional assays. Electromechanical coupling in these flows may lead to complex flow phenomena, such as sample dispersion due to electro-osmotic velocity mismatch, and electrokinetic instability (EKI). In this work we develop a generalized electrokineti...

Introduction: Irreversible electroporation (IRE) is a process in which the membrane of the cancer cells are irreversibly damaged with the use of high-intensity electric pulses, which in turn leads to cell death. The IRE is a non-thermal way to ablate the cancer cells. This process relies on the distribution of the electric field, which affects the pulse amplitude, width, and electrical conducti...

The low-temperature conductivity of low-density, high-mobility, two-dimensional hole systems in GaAs was studied. We explicitly show that the metal-insulator transition, observed in these systems, is characterized by a well-defined critical density, p0 c . We also observe that the low-temperature conductivity of these systems depends linearly on the hole density, over a wide density range. The ...

Fourier’s law is the relation between the heat flux J and the temperature gradient as J = −λ∇T where λ and T are the heat conductivity and the temperature, respectively. Although it is widely believed that the Fourier’s law is realized in many situations, recent numerical results suggest that the heat conductivity diverges in low-dimensional systems in the thermodynamic limit, while it is conve...

The paper deals with some extensions of the Keller-Dykhne duality relations arising in the classical homogenization of two-dimensional uniformly bounded conductivities, to the case of highcontrast conductivities. Only assuming a L-bound on the conductivity we prove that the conductivity and its dual converge respectively, in a suitable sense, to the homogenized conductivity and its dual. In the...

A model for percolative vortex motion in inhomogeneous superconductors is introduced. Near the percolation threshold the linear, frequency-dependent electronic conductivity is found to obey scaling laws. The percolation model for vortex motion provides an alternative explanation to the experimental finding of scaling in the electronic conductivity that is conventionally attributed to a vortex g...