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Motivated by recent experimental observations, we consider a steady-state Prandtl-Blasius boundary layer flow with polymers above a slightly heated horizontal plate and study how the heat transport might be affected by the polymers. We…

Chaotic Dynamics · Physics 2015-05-27 Roberto Benzi , Emily S. C. Ching. , Vivien W. S. Chu

Ultrawide-bandgap rutile GeO2 is emerging as a promising semiconductor for power electronics, where efficient heat dissipation is essential to suppress self-heating and ensure device reliability. However, the temperature dependence and…

The electron-phonon coupling in ultrafast heating systems is studied within the framework of Boltzmann transport equation (BTE) with coupled electron and phonon transport. A discrete unified gas kinetic scheme is developed to solve the BTE,…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Chuang Zhang , Rulei Guo , Meng Lian , Junichiro Shiomi

Motivated by recent experiments on electric transport through single molecules and quantum dots, we investigate a model for transport that allows for significant coupling between the electrons and a boson mode isolated on the molecule or…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Urban Lundin , Ross H. McKenzie

Semiconductor alloys exhibit a strong dependence of effective thermal conductivity on measurement frequency. So far this quasi-ballistic behaviour has only been interpreted phenomenologically, providing limited insight into the underlying…

Materials Science · Physics 2015-02-13 Bjorn Vermeersch , Jesus Carrete , Natalio Mingo , Ali Shakouri

In low-dimensional systems, the combination of reduced dimensionality, strong interactions, and topology has led to a growing number of many-body quantum phenomena. Thermal transport, which is sensitive to all energy-carrying degrees of…

Despite the ubiquity of applications of heat transport across nanoscale interfaces, including integrated circuits, thermoelectrics, and nanotheranostics, an accurate description of phonon transport in these systems remains elusive. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Prineha Narang

In this paper, a multiple-relaxation-time lattice Boltzmann model with an off-diagonal collision matrix was adopted to predict the effective thermal conductivities of the anisotropic heterogeneous materials whose components are also…

Computational Physics · Physics 2015-03-31 Wen-Zhen Fang , Jian-Jun Gou , Hu Zhang , Li Chen , Wen-Quan Tao

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

Statistical Mechanics · Physics 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

We propose a Fokker-Planck equation (FPE) theory to describe stochastic fluctuation and relaxation processes of lattice vibration at a wide range of conditions, including those beyond the phonon gas (PG) limit. Using the time-dependent,…

Statistical Mechanics · Physics 2019-01-30 Yi Zeng , Jianjun Dong

The transport equations for polarized radiation transfer in non-Riemannian, Weyl-Cartan type space-times are derived, with the effects of both torsion and non-metricity included. To obtain the basic propagation equations we use the tangent…

General Relativity and Quantum Cosmology · Physics 2009-11-11 K. S. Cheng , T. Harko , X. Y. Wang

We study the thermoelectric effect of two-dimensional metals on a square lattice within semiclassical Boltzmann transport theory with particular focus on electron-electron scattering. We compute the electrical conductivity and the Seebeck…

Strongly Correlated Electrons · Physics 2013-09-17 Jonathan M. Buhmann , Manfred Sigrist

The purpose of this note is to clarify the solution of the non-local Peierls Boltzmann equation found by Hua and Lindsay (Phys. Rev. B 102, 104310 (2020)). They used methods of Cepellotti and Marzari. The response function "thermal…

Other Condensed Matter · Physics 2021-10-05 Philip B. Allen

We consider the non-classical heat conduction equation, in the domain $D=\br^{n-1}\times\br^{+}$, for which the internal energy supply depends on an integral function in the time variable of % $(y , t)\mapsto \int_{0}^{t} u_{x}(0 , y , s)…

Analysis of PDEs · Mathematics 2016-10-07 Mahdi Boukrouche , Domingo A. Tarzia

In non-perturbative non-Markovian open quantum systems, reaching either low temperatures with the hierarchical equations of motion (HEOM) or high temperatures with the Thermalized Time Evolving Density Operator with Orthogonal Polynomials…

Quantum Physics · Physics 2025-03-05 Brieuc Le Dé , Amine Jaouadi , Etienne Mangaud , Alex W. Chin , Michèle Desouter-Lecomte

By means of Metropolis Monte Carlo simulations of a coarse-grained model for flexible polymers, we investigate how the integrated autocorrelation times of different energetic and structural quantities depend on the temperature. We show…

Computational Physics · Physics 2014-08-19 Kai Qi , Michael Bachmann

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

Based on the phonon Boltzmann transport equation under the relaxation time approximation, analytical expressions for the temperature profiles of both steady state and modulated heat conduction inside a thin film deposited on a substrate are…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Jose Ordonez-Miranda , Ronggui Yang , Sebastian Volz , J. J. Alvarado-Gil

Lead chalcogenides such as PbS, PbSe, and PbTe are of interest for their exceptional thermoelectric properties and strongly anharmonic lattice dynamics. Although PbTe has received the most attention, PbSe has a lower thermal conductivity…

Materials Science · Physics 2017-01-11 Nina Shulumba , Olle Hellman , Austin J. Minnich

Thermal transport coefficients are independent of the specific microscopic expression for the energy density and current from which they can be derived through the Green-Kubo formula. We discuss this independence in terms of a kind of gauge…

Statistical Mechanics · Physics 2017-06-09 Loris Ercole , Aris Marcolongo , Paolo Umari , Stefano Baroni
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