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We investigate quantitative estimates in periodic homogenization of second-order elliptic systems of elasticity with singular fourth-order perturbations. The convergence rates, which depend on the scale $\kappa$ that represents the strength…

Analysis of PDEs · Mathematics 2020-05-27 Weisheng Niu , Zhongwei Shen

We present a new method for predicting effective thermal conductivity ($\kappa_{\textrm{eff}}$) in materials, informed by ${ab\,initio}$ material property simulations. Using the Boltzmann transport equation in a Self-Adjoint Angular Flux…

Materials Science · Physics 2019-08-22 Jackson R. Harter , Aria Hosseini , Todd. S. Palmer , P. Alex Greaney

Simulation results of the thermal conductivity ${\cal L}$ of Dissipative Particle Dynamics model with Energy Conservation (DPDE) are reported. We also present an analysis of the transport equations and the transport coefficients for DPDE…

Statistical Mechanics · Physics 2015-06-24 Josep Bonet Avalos , Allan D. Mackie

Transport coefficients in Lorentz plasma with the power-law kappa-distribution are studied by means of using the transport equation and macroscopic laws of Lorentz plasma without magnetic field. Expressions of electric conductivity,…

Plasma Physics · Physics 2013-09-10 Jiulin Du

We calculate numerically the electrical conductivity $\sigma$, heat conductivity $\kappa$ and shear viscosity $\eta$ of the hot plasma present in the early universe for the temperature interval $1\MeV\lsim T\lsim 10\GeV$. We use the…

High Energy Physics - Phenomenology · Physics 2016-08-25 Jarkko Ahonen

In this paper, we study the heat equation with an irregular spatially dependent thermal conductivity coefficient. We prove that it has a solution in an appropriate very weak sense. Moreover, the uniqueness result and consistency with the…

Analysis of PDEs · Mathematics 2023-02-21 Michael Ruzhansky , Mohammed Elamine Sebih , Niyaz Tokmagambetov

We study thermal conductivity for one-dimensional electronic fluid. The many-body Hilbert space is partitioned into bosonic and fermionic sectors that carry the thermal current in parallel. For times shorter than bosonic Umklapp time, the…

Strongly Correlated Electrons · Physics 2019-05-23 R. Samanta , I. V. Protopopov , A. D. Mirlin , D. B. Gutman

Understanding the thermal conductivity of polymers under high-pressure conditions is essential for a range of applications, from aerospace and deep-sea engineering to common lubricants. However, the complex relationship between pressure,…

Soft Condensed Matter · Physics 2026-01-12 Otavio Higino Moura de Alencar , James Mu , Marcus Müller , Debashish Mukherji

Heat propagation in quasi-one dimensional materials (Q1DMs) often appears paradoxical. While an isolated Q1DM, such as a nanowire, carbon nanotube, or polymer, can exhibit a high thermal conductivity \k{appa}, forests of the same materials…

Mesoscale and Nanoscale Physics · Physics 2021-01-15 Aashish Bhardwaj , A. Srikantha Phani , Alireza Nojeh , Debashish Mukherji

The paper revisits recent counterintuitive results on divergence of heat conduction coefficient in two-dimensional lattices. It was reported that in certain lattices with on-site potential, for which one-dimensional chain has convergent…

Statistical Mechanics · Physics 2016-03-23 A. V. Savin , V. Zolotarevskiy , O. V. Gendelman

Developing high power density electronics requires effective and highly reliable cooling techniques with low thermal resistance and high heat removal capacity. Loop heat pipes (LHPs) are one kind of two-phase heat transfer device which can…

Fluid Dynamics · Physics 2025-09-03 Xu Huang , Geert Buckinx , Maria Rosaria Vetrano , Martine Baelmans

We consider a chain of coupled and strongly pinned anharmonic oscillators subject to a non-equilibrium random forcing. Assuming that the stationary state is approximately Gaussian, we first derive a stationary Boltzmann equation. By…

Statistical Mechanics · Physics 2009-11-11 R. Lefevere , A. Schenkel

In a quasi-one-dimensional system the particles remain ordered from left to right allowing the association of a volume element to the particle which on average resides there. Thus the properties of that single particle can give the local…

Statistical Mechanics · Physics 2014-09-12 Gary Morriss

Thermal transport in highly anharmonic, amorphous, or alloyed materials often deviates from the predictions of conventional phonon-based models. First-principles approaches have introduced a coherent contribution to account for these…

Materials Science · Physics 2025-11-26 Đorđe Dangić

Theoretical prediction of the thermal conductivity $\kappa$ of metal-like electron-ion systems would be greatly simplified if a convenient generalization of the Lorentz number $L_N$ for arbitrary temperatures ($T$) and densities were…

Materials Science · Physics 2024-05-01 M. W. C. Dharma-wardana

The accurate determination of thermal conductivity $\kappa(T)$ in bulk materials at room temperature and above is crucial for evaluating their compatibility for specific applications. The 3$\omega$ technique is an established methodology…

We propose a first-principles model of minimum lattice thermal conductivity ($\kappa_{\rm L}^{\rm min}$) based on a unified theoretical treatment of thermal transport in crystals and glasses. We apply this model to thousands of inorganic…

The in medium dynamics of heavy particles are governed by transport coefficients. The heavy quark momentum diffusion coefficient, $\kappa$, is an object of special interest in the literature, but one which has proven notoriously difficult…

High Energy Physics - Phenomenology · Physics 2019-09-25 Nora Brambilla , Miguel A. Escobedo , Antonio Vairo , Peter Vander Griend

We investigate the thermal conductivity ($\kappa$) of the quark matter at finite quark chemical potential $(\mu)$ and temperature $(T)$, employing the Green-Kubo formula, for the SU(2) light-flavor sector with the finite current-quark mass…

High Energy Physics - Phenomenology · Physics 2015-03-05 Seung-il Nam

We numerically study thermodynamic and structural properties of the one-component Gaussian core model (GCM) at very high densities. The solid-fluid phase boundary is carefully determined. We find that the density dependence of both the…

Soft Condensed Matter · Physics 2015-05-27 Atsushi Ikeda , Kunimasa Miyazaki