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Achieving low thermal conductivity and good electrical properties is a crucial condition for thermal energy harvesting materials. Nanostructuring offers a very powerful tool to address both requirements: in nanostructured materials,…

Mesoscale and Nanoscale Physics · Physics 2018-09-14 Giuseppe Romano , Jesús Carrete , Alexie M. Kolpak , David Broido

Coherent thermal transport in nanopatterned structures is a topic of considerable interest, but whether it occurs in certain structures remains unclear due to poor understanding of which phonons conduct heat. Here, we perform the first…

Materials Science · Physics 2020-06-26 Navaneetha K. Ravichandran , Austin J. Minnich

We develop a molecular dynamics framework to compute the mode-resolved phonon spectral density from classical correlations of an annihilation-like phonon variable. For harmonic oscillators, classical molecular dynamics exactly reproduces…

Materials Science · Physics 2026-04-22 Zezhu Zeng , Michele Simoncelli , David E. Manolopoulos

Phonon size effects induce ballistic transport in nanomaterials, challenging Fourier's law. Nondiffusive heat transport is captured by the Peierls-Boltzmann transport equation (BTE), commonly solved under the relaxation time approximation…

Mesoscale and Nanoscale Physics · Physics 2020-03-10 Giuseppe Romano

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

The temperature-dependent phonons are a generalization of interatomic force constants varying in T, which as found widespread use in computing the thermal transport of materials. A formal justification for using this combination to access…

Materials Science · Physics 2025-01-31 Aloïs Castellano , J. P. Alvarinhas Batista , Olle Hellman , Matthieu J. Verstraete

Non-equilibrium transport and phonon branch-resolved size effects in single-layer graphene materials are studied under a multi-temperature kinetic model, which is developed for capturing the branch-dependent electron-phonon coupling.…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 Chuang Zhang , Houssem Rezgui , Meng Lian , Hong Liang

The phonon Boltzmann transport equation (BTE) is widely utilized to study non-diffusive thermal transport. We find a solution of the BTE in the thin film transient thermal grating (TTG) experimental geometry by using a recently developed…

Mesoscale and Nanoscale Physics · Physics 2016-07-15 Vazrik Chiloyan , Lingping Zeng , Samuel Huberman , Alexei A. Maznev , Keith A. Nelson , Gang Chen

Nanostructured materials exhibit low thermal conductivity because of the additional scattering due to phonon-boundary interactions. As these interactions are highly sensitive to the mean free path (MFP) of a given phonon mode, MFP…

Materials Science · Physics 2016-01-13 Giuseppe Romano , Keivan Esfarjani , David A. Strubbe , David Broido , Alexie M. Kolpak

Although the Boltzmann transport equation (BTE) has been exploited to investigate non-diffusive phonon transport for decades, due to the challenges of solving this integro-differential equation, most standard techniques for thermal…

Materials Science · Physics 2024-08-13 Tao Li , Bo Jiang , Zhen Chen

Starting from the quantum Liouville equation for the density operator and applying the Weyl quantization, Wigner equations for the longitudinal and transversal optical and acoustic phonons are deduced. The equations are valid for any solid,…

Mathematical Physics · Physics 2023-01-03 Vito Dario Camiola , Giorgia Vitanza , Vittorio Romano

Boundary-engineering in nanostructures has the potential to dramatically impact the development of materials for high-efficiency conversion of thermal energy directly into electricity. In particular, nanostructuring of semiconductors can…

Materials Science · Physics 2016-10-04 Giuseppe Romano , Alexie M. Kolpak

Silicon carbide (SiC) is a wide band gap semiconductor with a variety of industrial applications. Among its many useful properties is its high thermal conductivity, which makes it advantageous for thermal management applications. In this…

Materials Science · Physics 2017-05-25 Nakib Haider Protik , Ankita Katre , Lucas Lindsay , Jesús Carrete , Natalio Mingo , David Broido

Phonon heat transport in mesoscopic systems is investigated using methods analogous to the Landauer description of electrical conductance. A "universal heat conductance" expression that depends on the properties of the conducting pathway…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. E. Angelescu , M. C. Cross , M. L. Roukes

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

Tuning thermal transport in nanostructured materials is a powerful approach to develop high-efficiency thermoelectric materials. Using a recently developed approach based on the phonon mean free path dependent Boltzmann transport equation,…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Giuseppe Romano , Jeffrey C. Grossman

We have combined the Boltzmann transport equation with an {\it ab initio} approach to compute the thermoelectric coefficients of semiconductors. Electron-phonon, ionized impurity, and electron-plasmon scattering rates have been taken into…

Materials Science · Physics 2018-10-26 Z. Wang , S. Wang , S. Obukhov , N. Vast , J. Sjakste , V. Tyuterev , N. Mingo

Non-diffusive thermal transport has gained extensive research interest recently due to its important implications on fundamental understanding of material phonon mean free path distributions and many nanoscale energy applications. In this…

Computational Physics · Physics 2017-01-03 Lei Ma , Riguo Mei , Mengmeng Liu , Xuxin Zhao , Qixing Wu , Hongyuan Sun

Phonon heat conduction over length scales comparable to their mean free paths is a topic of considerable interest for basic science and thermal management technologies. Although the failure of Fourier's law beyond the diffusive regime is…

Materials Science · Physics 2019-08-28 Chengyun Hua , Lucas Lindsay , Xiangwen Chen , Austin Minnich

Ultrafast thermal transport in low-dimensional materials challenges traditional diffusive models due to reduced scattering, strong electron-phonon coupling, and pronounced non-equilibrium effects. To address these complexities, we extend…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Houssem Rezgui , Chuang Zhang , Clivia Sotomayor-Torres