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Iterative Fast Fourier Transform methods are useful for calculating the fields in composite materials and their macroscopic response. By iterating back and forth until convergence, the differential constraints are satisfied in Fourier…

Numerical Analysis · Mathematics 2018-01-25 Hervé Moulinec , Pierre Suquet , Graeme W. Milton

We introduce an algorithmic model of heat conduction, the thermodynamic graph. The thermodynamic graph is analogous to meshes in the finite difference method in the sense that the calculation of temperature is carried out at the vertices of…

Computational Engineering, Finance, and Science · Computer Science 2018-02-02 O. Kurganskyy , A. J. Maksimova

This paper explores the electrical and thermal conductivity of complex contact spots on the surface of a half-space. Employing an in-house Fast Boundary Element Method implementation, various complex geometries were studied. Our…

Classical Physics · Physics 2024-08-27 Paul Beguin , Vladislav A. Yastrebov

We validate the application of our recent orbital-free density functional theory (DFT) approach, [Phys. Rev. Lett. 113, 155006 (2014)], for the calculation of ionic and electronic transport properties of dense plasmas. To this end, we…

Plasma Physics · Physics 2015-12-16 Travis Sjostrom , Jérôme Daligault

In this paper, we are concerned with the effective elastic property of a two-phase high-contrast periodic composite with densely packed inclusions. The equations of linear elasticity are assumed. We first give a novel proof of the…

Analysis of PDEs · Mathematics 2020-04-30 Haigang Li , Yan Li

Conductivity models for warm dense matter inform simulations of planetary structure and fusion experiments. State-of-the-art conductivity calculations based on density functional theory approximate many-body physics and neglect…

The electric field grading of dielectric permittivity gradient devices is an effective way of enhancing their insulation properties. The in-situ electric field-driven assembly is an advanced method for the fabrication of insulation devices…

Materials Science · Physics 2020-09-25 Zikui Shen , Zhenyu Xin , Xilin Wang , Xinyu Wei , Zhidong Jia

We express the link between conductivity and coefficients of Seebeck, Nernst-Ettingshausen, Peltier, and Thompson and Reghi-Leduc via the temperature derivative of the chemical potential of a system. These general expressions are applied to…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Andrey Varlamov , Alexey Kavokin

With the rapid advance of high-performance computing and electronic technologies, understanding thermal conductivity in materials has become increasingly important. This study presents a novel method: the Site-projected Thermal Conductivity…

Materials Science · Physics 2024-11-22 A. Gautam , Y. G. Lee , C. Ugwumadu , K. Nepal , S. Nakhmanson , D. A. Drabold

This lecture gives an introduction to the basic physics of the electrical conductivity of metals, its temperature dependence and its limiting factors. We will then introduce the concept of surface resistance, of high relevance in…

Accelerator Physics · Physics 2020-06-05 Sergio Calatroni

The Hubbard model at temperatures above the N\'{e}el transition, despite being a paramagnet, can exhibit rich physics due to the interplay of Fermi surface, on-site interaction $U$ and thermal fluctuations. Nevertheless, the understanding…

Strongly Correlated Electrons · Physics 2025-01-23 Yu-Feng Song , Youjin Deng , Yuan-Yao He

We have designed and developed a new experimental setup, based on the 3-omega method, to measure thermal conductivity, heat capacity and electrical resistivity of a variety of samples in a broad temperature range (2-550 K) and under…

Instrumentation and Detectors · Physics 2018-04-17 K. Shrestha , K. Gofryk

A conducting two-dimensional periodic composite of two anisotropic phases with anisotropic, not necessarily symmetric, conductivity tensors is considered. By finding approximate representations for the relevant operators, an approximation…

Mathematical Physics · Physics 2018-03-06 Graeme W. Milton

We study charge transport across the metal-insulator crossover in the half-filled two-dimensional Hubbard model, with particular emphasis on precision control. The dynamic current-current correlation function is obtained directly in the…

Strongly Correlated Electrons · Physics 2025-09-03 Youngmin Eom , Igor S. Tupitsyn , Nikolay V. Prokof'ev , Boris Svistunov , Evgeny Kozik , Aaram J. Kim

Spatial mapping of thermal properties is critical for unveiling the structure-property relation of materials, heterogeneous interfaces, and devices. These property images can also serve as datasets for training artificial intelligence…

Applied Physics · Physics 2025-07-18 Haobo Yang , Zhenguo Zhu , Zhongnan Xie , Jinhong Du , Shuo Bai , Hong Guo , Te-Huan Liu , Ronggui Yang , Xin Qian

Thermal conductivity is a fundamental material property that plays an essential role in technology, but its accurate evaluation presents a challenge for theory. In this work, we demonstrate the application of $E(3)$-equivariant neutral…

Materials Science · Physics 2024-03-18 Sung-Ho Lee , Jing Li , Valerio Olevano , Benoit Sklénard

A theoretical model of electromigrative, diffusive and convectivetransport polymer-gel composites is presented. Bulk properties are derived from the standard electrokinetic model with an impenetrable charged sphere embedded in an…

Soft Condensed Matter · Physics 2007-05-23 Reghan J. Hill

In this study, we illustrate the effective medium theories in the designs of three-dimensional composite metametails of both negative permittivity and permeability. The proposed metamaterials consist of coated spheres embedded in a…

Materials Science · Physics 2008-02-13 Jiaguang Han , Sher-Yi Chiam , Ee Jin Teo , Andrew A. Bettiol , Weili Zhang

The effective medium approximation (EMA) method is commonly used to estimate the effective conductivity development in composites containing two types of materials: conductors and insulators. The effective conductivity is a global parameter…

General Economics · Economics 2022-09-28 Mikrajuddin Abdullah

An integral equation based scheme is presented for the fast and accurate computation of effective conductivities of two-component checkerboard-like composites with complicated unit cells at very high contrast ratios. The scheme extends…

Computational Physics · Physics 2015-05-28 Johan Helsing