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The lattice thermal conductivity of graphene is evaluated using a microscopic model that takes into account the lattice's discrete nature and the phonon dispersion relation within the Brillouin zone. The Boltzmann transport equation is…

Soft Condensed Matter · Physics 2024-01-18 J. Chen , Y. Liu

We present an analysis of acoustic phonon propagation through long, free-standing, insulating wires with rough surfaces. Due to a crossover from ballistic propagation of the lowest-frequency phonon mode at $\omega <\omega _{1}=\pi c/W$ to a…

Condensed Matter · Physics 2009-10-31 A. Kambili , G. Fagas , Vladimir I. Fal'ko , C. J. Lambert

The phonon thermal conductivity of semiconducting periodic solids can be obtained using the lattice dynamics calculations along with the Boltzmann transport equation and with input from density functional theory calculations. These…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Ankit Jain , Yagyank Srivastava , Amey G. Gokhale , Nidheesh Virakante , Hardik L. Kagdada

By way of the nonequilibrium Green's function simulations and first principles calculations, we report that borophene, a single layer of boron atoms that was fabricated recently, possesses an extraordinarily high lattice thermal conductance…

Materials Science · Physics 2017-05-31 Hangbo Zhou , Yongqing Cai , Gang Zhang , Yong-Wei Zhang

It is known that one-dimensional anomalous heat propagation is usually characterized by a L\'{e}vy walk superdiffusive spreading function with two side peaks located on the fronts due to the finite velocity of acoustic phonons, and in the…

Statistical Mechanics · Physics 2018-07-25 Daxing Xiong , Yong Zhang

We studied the phononic heat transfer through an atomic dielectric wire with both infinite and finite lengths by using a model Hamiltonian approach. At low temperature under ballistic transport, the thermal conductance contributed by each…

Condensed Matter · Physics 2009-10-31 A. Buldum , S. Ciraci , C. Y. Fong

Boundary scattering in hierarchically disordered nanomaterials is an effective way to reduce the thermal conductivity of thermoelectric materials and increase their performance. In this work we investigate thermal transport in silicon based…

Materials Science · Physics 2019-02-27 Dhritiman Chakraborty , Laura de Sousa Oliveira , Neophytos Neophytou

A new equation, rooted in the theory of Brownian motion, is proposed for describing heat conduction by phonons. Though a finite speed of propagation is a built-in feature of the equation, it does not give rise to an inauthentic wave front…

Other Condensed Matter · Physics 2013-05-29 K. Razi Naqvi , S. Waldenstroem

Understanding the ideal limit of interfacial thermal conductance (ITC) across semiconductor heterointerfaces is crucial for optimizing heat dissipation in practical applications. By employing a highly accurate and efficient machine-learned…

Materials Science · Physics 2025-04-28 Xiaonan Wang , Xin Wu , Penghua Ying , Zheyong Fan , Huarui Sun

The breakdown of translational symmetry at heterointerfaces leads to the emergence of new phonon modes localized near the interface. These interface phonons play an essential role in thermal/electrical transport properties in devices…

Materials Science · Physics 2022-01-05 Ruishi Qi , Ruochen Shi , Yuanwei Sun , Yuehui Li , Mei Wu , Ning Li , Jinlong Du , Kaihui Liu , Chunlin Chen , Dapeng Yu , En-Ge Wang , Peng Gao

Heat transport can be modelled with a variety of approaches in real space (using molecular dynamics) or in reciprocal space (using the Boltzmann transport equation). Employing two conceptually different approaches of each type, we study…

Materials Science · Physics 2025-03-19 Lukas Reicht , Lukas Legenstein , Sandro Wieser , Egbert Zojer

Quasiballistic heat conduction, in which some phonons propagate ballistically over a thermal gradient, has recently become of intense interest. Most works report that the thermal resistance associated with nanoscale heat sources is far…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Chengyun Hua , Austin J. Minnich

Two-dimensional transition metal dichalcogenides (TMDCs) are finding promising electronic and optical applications due to their unique properties. In this letter, we systematically study the phonon transport and thermal conductivity of…

Materials Science · Physics 2014-09-30 Xiaokun Gu , Ronggui Yang

A wide range of natural and industrial processes involve heat and mass transport in porous media. In some important cases the transported substance may undergo phase change, e.g. from liquid to solid and vice versa in the case of freezing…

Applied Physics · Physics 2026-05-22 Petr Nikolaev , Majid Sedighi , Andrey P Jivkov , Lee Margetts

We investigate thermoelectric transport in monolayer graphene across a finite complex barrier within a Landauer scattering framework. Solving the Dirac-Weyl problem exactly, we show that the imaginary part of the barrier renders the…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Daniel A. Bonilla , Juan A. Cañas , J. C. Pérez-Pedraza , A. Martín-Ruiz

We calculate the frequency-dependent mesoscopic acoustic phonon transmission probability through the abrupt junction between a semi-infinite, one-dimensional cylindrical quantum wire and a three-dimensional bulk insulator, using a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Chun-Min Chang , Michael R. Geller

We calculate the effect of a heat current on transporting $^3$He dissolved in superfluid $^4$He at ultralow concentration, as will be utilized in a proposed experimental search for the electric dipole moment of the neutron (nEDM). In this…

Other Condensed Matter · Physics 2015-05-07 Gordon Baym , D. H. Beck , C. J. Pethick

We study heat conduction in a one-dimensional {finite}, unpinned chain of atoms perturbed by stochastic momentum exchange and coupled to Langevin heat baths at {possibly} distinct temperatures placed at the endpoints of the chain. While…

Mathematical Physics · Physics 2025-12-05 Tomasz Komorowski , Stefano Olla

In this paper, we study the 1D steady Boltzmann flow in a channel. The walls of the channel are assumed to have vanishing velocity and given temperatures $\theta_0$ and $\theta_1$. This problem was studied by Esposito et al [13,14] where…

Analysis of PDEs · Mathematics 2023-06-02 Renjun Duan , Shuangqian Liu , Tong Yang , Zhu Zhang

In this work we consider the hydrodynamic behavior of a coupled electron-phonon fluid, focusing on electronic transport under the conditions of strong phonon drag. This regime occurs when the rate of phonon equilibration due to e.g. umklapp…

Mesoscale and Nanoscale Physics · Physics 2020-06-15 Alex Levchenko , Jörg Schmalian