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The duality and other symmetry properties of the effective conductivity sigma_e of the classical two-dimensional isotropic randomly inhomogeneous heterophase systems at arbitrary number of phases N are discussed. A new approach for a…

无序系统与神经网络 · 物理学 2007-05-23 S. A. Bulgadaev

The possible functional forms of the effective conductivity sigma_{eff} of the randomly inhomogeneous two-phase system at arbitrary values of concentrations are discussed. A new functional equation, generalizing the duality relation, is…

凝聚态物理 · 物理学 2009-11-07 S. A. Bulgadaev

Consider a 2D composites with non-overlapping equal inclusions imbedded in a host material of the normalized unit conductivity. The conductivity of inclusions takes two values $\sigma_1$ and $\sigma_2$ with the probabilities $p$ and $1-p$,…

数学物理 · 物理学 2017-12-18 Vladimir Mityushev

The heterogeneity of composite leads to the extra charge concentration at the boundaries of different phases that results essentially nonzero effective electric susceptability. The relation between tensors of effective electric…

材料科学 · 物理学 2009-11-07 Leonid G. Fel , Ilia V. Kaganov

In the work, a modified effective medium theory is constructed for calculating the effective properties of thermoelectric composites with different values of percolation thresholds. It is shown that even at concentrations beyond the…

材料科学 · 物理学 2020-06-23 Snarskii Andrei , Yuskevich Pavel

A method is presented for approximating the effective conductivity of composite media with thin interphase regions, which is exact to first order in the interphase thickness. The approximations are computationally efficient in the sense the…

偏微分方程分析 · 数学 2015-06-15 Bacim Alali , Graeme W. Milton

We present numerical results of electric conductivity $\sigma_{el}$ of a fluid obtained solving the Relativistic Transport Boltzmann equation in a box with periodic boundary conditions. We compute $\sigma_{el}$ using two methods: the…

高能物理 - 唯象学 · 物理学 2014-12-10 A. Puglisi , S. Plumari , V. Greco

We report electrical conductivity $\sigma$ measurements on a range of two-dimensional electron gases (2DEGs) of varying linear extent. Intriguingly, at low temperatures ($T$) and low carrier density ($n_{\mathrm{s}}$) we find the behavior…

介观与纳米尺度物理 · 物理学 2016-05-25 Dirk Backes , Richard Hall , Michael Pepper , Harvey Beere , David Ritchie , Vijay Narayan

We compute the electrical conductivity ($ \sigma_{el} $) in the presence of constant and homogeneous external electromagnetic field for the static quark-gluon plasma (QGP) medium, which is among the important transport coefficients of QGP.…

高能物理 - 唯象学 · 物理学 2019-10-29 Lata Thakur , P. K. Srivastava

The possible functional forms of the effective conductivity sigma_e of the randomly inhomogeneous two-phase systems at arbitrary values of concentrations are discussed. Two explicit approximate expressions for effective conductivity are…

无序系统与神经网络 · 物理学 2007-05-23 S. A. Bulgadaev

We present new data for the electrical conductivity of foams in which the liquid fraction ranges from two to eighty percent. We compare with a comprehensive collection of prior data, and we model all results with simple empirical formul\ae.…

软凝聚态物质 · 物理学 2007-05-23 K. Feitosa , S. Marze , A. Saint-Jalmes , D. J. Durian

A composite conductive material, which consists of fibers of a high conductivity in a matrix of low conductivity, is discussed. The effective conductivity of the system considered is calculated in Clausius-Mossotti approximation. Obtained…

材料科学 · 物理学 2011-03-01 Yuri Kornyushin

An approximate equation for the effective conductivity sigma_eff of systems with a finite maximal scale of inhomogeneities is deduced. An exact solution of this equation is found and its physical meaning is discussed. A two-phase randomly…

无序系统与神经网络 · 物理学 2007-05-23 S. A. Bulgadaev

In the framework of the perturbation theory an expression suitable for calculation of the effective conductivity of 3-D inhomogeneous metals is derived. Formally, the final expression is an exact result, however, a function written as a…

无序系统与神经网络 · 物理学 2007-05-23 Inna M. Kaganova

The electric conductivity, $\sigma_{\rm el}$, is a fundamental transport coefficient of QCD matter that can be related to the zero-energy limit of the electromagnetic (EM) spectral function at vanishing 3-momentum in the medium. The EM…

高能物理 - 唯象学 · 物理学 2024-06-24 Ralf Rapp

We study the low-temperature low-frequency conductivity sigma of an interacting one dimensional electron system in the presence of a periodic potential. The conductivity is strongly influenced by conservation laws, which, we argue, need be…

强关联电子 · 物理学 2009-10-31 A. Rosch , N. Andrei

We determine the effective conductivity of a two-dimensional composite consisting of a doubly periodic array of identical circular cylinders within a homogeneous matrix. We obtain an exact analytic expression for the effective conductivity…

材料科学 · 物理学 2019-05-30 Yuri A. Godin

Using the linear fractional transformation, connecting effective conductivities sigma_{e} of isotropic two-phase systems with and without magnetic field, explicit approximate expressions for sigma_{e} in a magnetic field are obtained. They…

无序系统与神经网络 · 物理学 2009-11-10 S. A. Bulgadaev , F. V. Kusmartsev

The quanta of electrical conductance is derived for a one-dimensional electron gas both by making use of the quasi-classical motion of a quantum fluid and by using arguments related to the uncertainty principle. The result is extended to a…

介观与纳米尺度物理 · 物理学 2009-11-13 M. Apostol

The optical conductivity for the surface excitations for a Topological Insulator as a function of the chemical potential and disorder is considered. Due to the time reversal symmetry the chiral metallic surface states are protected against…

介观与纳米尺度物理 · 物理学 2013-02-19 D. Schmeltzer , K. Ziegler
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