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Measuring the thermal conductivity ($\kappa$) of water at extreme conditions is a challenging task and few experimental data are available. We predict $\kappa$ for temperatures and pressures relevant to the conditions of the Earth mantle,…

Materials Science · Physics 2023-05-10 Cunzhi Zhang , Marcello Puligheddu , Linfeng Zhang , Roberto Car , Giulia Galli

We study the electronic thermal conductivity $\kappa_\textrm{el}$ and the thermal diffusion constant $D_\textrm{Q,el}$ in the square lattice Hubbard model using the finite-temperature Lanczos method. We exploit the Nernst-Einstein relation…

Strongly Correlated Electrons · Physics 2022-12-28 Martin Ulaga , Jernej Mravlje , Peter Prelovšek , Jure Kokalj

We consider heat transport in one-dimensional harmonic chains attached at its ends to Langevin heat baths. The harmonic chain has mass impurities where the separation $d$ between any two successive impurities is randomly distributed…

Disordered Systems and Neural Networks · Physics 2019-11-05 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

We present a theoretical study of the compressibility, $\kappa$, in a Fermi gas with attractive contact interactions, providing predictions for the strongly-attractive regime and the superfluid phase. Our work emphasizes the compressibility…

Quantum Gases · Physics 2015-06-16 Hao Guo , Yan He , Chih-Chun Chien , K. Levin

We establish a connection between anomalous heat conduction and anomalous diffusion in one dimensional systems. It is shown that if the mean square of the displacement of the particle is $<\Delta x^2> =2Dt^{\alpha} (0<\alpha\le 2)$, then…

Statistical Mechanics · Physics 2009-11-10 Baowen Li , Jiao Wang

Reliable evaluation of the lattice thermal conductivity is of importance for optimizing the figure-of-merit of thermoelectric materials. Traditionally, when deriving the phonon mediated thermal conductivity $\kappa_{ph} = \kappa -…

Materials Science · Physics 2014-08-15 M. X. Chen , R. Podloucky

We study the thermal transport properties of three CaF$_{2}$ polymorphs up to a pressure of 30 GPa using first-principle calculations and an interatomic potential based on machine learning. The lattice thermal conductivity $\kappa$ is…

Materials Science · Physics 2022-01-02 Somayeh Faraji , S. Mehdi Vaez Allaei , Maximilian Amsler

Thermal transport properties of the FPU $\beta$ model with a quadratic pinning term are investigated for various couplings and temperatures. In particular, the size dependence of the thermal conductivity, $\kappa\propto L^\alpha$, is…

Chaotic Dynamics · Physics 2009-11-13 Kenichiro Aoki

Precise modeling and understanding of heat transport in the superionic phase are of great interest. Although simulations combining Green-Kubo (GK) molecular dynamics with machine-learned potentials (MLPs) stand as a promising approach,…

Materials Science · Physics 2026-03-31 Wenjiang Zhou , Benrui Tang , Zheyong Fan , Federico Grasselli , Stefano Baroni , Bai Song

We investigate the physical property of the kappa parameter and the kappa-distribution in the kappa-deformed statistics, based on Kaniadakis entropy, for a relativistic gas in an electromagnetic field. We derive two relations for the…

Statistical Mechanics · Physics 2015-05-13 Guo Lina , Du Jiulin , Liu Zhipeng

The lattice thermal conductivity ($\kappa_{\rm L}$) of PbTiO$_3$ (PTO) is estimated using a combination of {\em ab initio} calculations and semiclassical Boltzmann transport equation. The computed $\kappa_{\rm L}$ is remarkably low, nearly…

Materials Science · Physics 2016-03-23 Anindya Roy

We investigate thermal transport in square ice, a two-dimensional analogue of spin ice, exploring the role played by emergent magnetic monopoles in transporting energy. Using kinetic Monte Carlo simulations based on energy preserving…

Strongly Correlated Electrons · Physics 2022-03-14 Ruairidh Sutcliffe , Jeffrey G. Rau

Transport properties provide important information about the mobility, elastic and inelastic of scattering of excitations in solids. Heat transport is well understood for phonons and electrons, but little is known about heat transport by…

Strongly Correlated Electrons · Physics 2008-04-11 C. Hess

The quark gluon plasma produced in heavy ion collisions behaves like an almost ideal fluid described by viscous hydrodynamics with a number of transport coefficients. The second order coefficient $\kappa$ is related to a Euclidean…

High Energy Physics - Lattice · Physics 2015-06-18 Owe Philipsen , Christian Schäfer

Using molecular dynamics we study heat conduction and diffusion of hard disks in one dimensional narrow channels. When collisions preserve momentum the heat conduction $\kappa$ diverges with the number of disks $N$ as $\kappa\sim N^\alpha$…

Statistical Mechanics · Physics 2007-06-12 Adam Lipowski , Dorota Lipowska

Heat conduction in 1-dimensional anharmonic systems is anomalous in the sense that the conductivity \kappa scales with a positive power of the system size, \kappa ~ L^\alpha. In two dimensions, previous simulations and theoretical arguments…

Statistical Mechanics · Physics 2007-05-23 P. Grassberger , L. Yang

Let $\Omega\subset\R^n$, $n\ge 3$, be a smooth bounded domain and consider a coupled system in $\Omega$ consisting of a conductivity equation $\nabla \cdot \gamma(x) \nabla u(t,x)=0$ and an anisotropic heat equation…

Analysis of PDEs · Mathematics 2010-12-15 Katsiaryna Krupchyk , Matti Lassas , Samuli Siltanen

Transient processes generally constitute part of energy-system cycles. If skillfully manipulated, they actually are capable of assisting systems to behave beneficially to suit designers' needs. In the present study, behaviors related to…

Computational Physics · Physics 2014-10-22 Z. J. Gao , T. M. Shih , H. Merlitz , P. J. Pagni , Z. Chen

We derive the expression for the thermal conductivity \kappa in the low-temperature limit T \to 0 in d-wave superconductors, taking into account the presence of competing orders such as spin-density wave, is-pairing, etc.. The expression is…

Strongly Correlated Electrons · Physics 2015-06-24 V. P. Gusynin , V. A. Miransky

In this work, we study the effect of $\kappa$-deformed space on the thermodynamic quantities, this are find through the holographic renormalization that provide the free energy, which is fundamental to derive the another thermodynamic…

High Energy Physics - Theory · Physics 2022-11-28 Fabiano F. Santos , Bruno G. da Costa , Ignacio S. Gomez