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We describe nonlinear phonon-thermoelectric devices where charge current and electronic and phononic heat currents are coupled, driven by voltage and temperature biases, when phonon-assisted inelastic processes dominate the transport. Our…

Mesoscale and Nanoscale Physics · Physics 2015-07-31 Jian-Hua Jiang , Manas Kulkarni , Dvira Segal , Yoseph Imry

Measurements of thermal diffusivity in several insulators have been shown to reach a Planckian bound on thermal transport that can be thought of as the limit of validity of semiclassical phonon scattering. Beyond this regime, the heat…

Materials Science · Physics 2021-05-19 Huan-Kuang Wu , Jay Sau

At low temperatures, phonon scattering can become so weak that phonon transport becomes ballistic. We calculate the ballistic phonon conductance G for membranes using elasticity theory, considering the transition from three to two…

Mesoscale and Nanoscale Physics · Physics 2008-11-10 T. Kühn , I. J. Maasilta

We consider unsteady ballistic heat transport in a semi-infinite Hooke chain with a free end and an arbitrary heat source. An analytical description of the evolution of the kinetic temperature is proposed in both discrete (exact) and…

Statistical Mechanics · Physics 2025-10-21 Sergei D. Liazhkov

Photons and electrons transmit information to form complex systems and networks. Phonons on the other hand, the quanta of mechanical motion, are often considered only as carriers of thermal energy. Nonetheless, their flow can also be molded…

In d-dimensional lattices of coupled quantum harmonic oscillators, we analyze the heat current caused by two thermal baths of different temperature, which are coupled to opposite ends of the lattice, with focus on the validity of Fourier's…

Quantum Physics · Physics 2013-05-14 A. Asadian , D. Manzano , M. Tiersch , H. J. Briegel

This paper is devoted to the derivation of a macroscopic fractional diffusion equation describing heat transport in an anharmonic chain. More precisely, we study here the so-called FPU-$\beta$ chain, which is a very simple model for a…

Analysis of PDEs · Mathematics 2015-05-05 Antoine Mellet , Sara Merino-Aceituno

We investigate the second-order nonlinear electronic thermal transport induced by temperature gradient. We develop the quantum kinetic theory framework to describe thermal transport in presence of a temperature gradient. Using this, we…

Mesoscale and Nanoscale Physics · Physics 2023-07-05 Harsh Varshney , Kamal Das , Pankaj Bhalla , Amit Agarwal

Phonon engineering technology has opened up the functional thermal management of semiconductor-based classical and quantum electronics at the micro- and nanoscales. However, challenges have remained in designing accurate thermal…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Keita Funayama , Yuki Akura , Hiroya Tanaka , Jun Hirotani

We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium…

Statistical Mechanics · Physics 2021-12-22 Junaid Bhat , Gaëtan Cane , Cédric Bernardin , Abhishek Dhar

The realization of single-molecule thermal conductance measurements has driven the need for theoretical tools to describe conduction processes that occur over atomistic length scales. In macroscale systems, the principle that is typically…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Galen T. Craven , Abraham Nitzan

We investigate the anharmonic phonon scattering across a weakly interacting interface by developing a quantum mechanics-based theory. We find that the contribution from anharmonic three-phonon scatterings to interfacial thermal conductance…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Hangbo Zhou , Gang Zhang , Jian-Sheng Wang , Yong-Wei Zhang

We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jun-Wen Mao , You-Quan Li

We consider coherent radiative thermal conductance of a multilayer photonic crystal. The crystal consists of alternating layers of lossless dielectric slabs and vacuum, where heat is conducted only through photons. We show that such a…

Materials Science · Physics 2009-11-13 Wah Tung Lau , Jung-Tsung Shen , Georgios Veronis , Paul Braun , Shanhui Fan

We compute the transient dynamics of phonons in contact with high energy "hot" charge carriers in 12 polar and non-polar semiconductors, using a first-principles Boltzmann transport framework. For most materials, we find that the decay in…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Sridhar Sadasivam , Maria K. Y. Chan , Pierre Darancet

We demonstrate tuning of the phononic thermal conductance in single molecules with carbon-chain backbones through modifications of terminal groups and halogen substitution of hydrogen atoms. Our simulations focus on intrinsic molecular…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Jonathan J. Wang , Dvira Segal

The phonon thermal transport properties of eight ternary intermetallic semiconductors are investigated by accounting for higher-order four-phonon scattering, phonon renormalization, and multi-channel thermal transport. The commonly used…

Materials Science · Physics 2022-08-17 Ankit Jain

To develop effective thermal management strategies for GaN transistors, it is essential to accurately predict the device junction temperature. Since the width of the heat generation in the devices is comparable to phonon mean free paths of…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Zhi-Ke Liu , Yang Shen , Han-Ling Li , Bing-Yang Cao

We consider thermal conduction across a general nonlinear phononic junction. Based on two-time observation protocol and the field theoretical/algebraic method, the cumulants of the heat transferred in both transient and steady-state regimes…

Statistical Mechanics · Physics 2016-09-09 Huanan Li , Bijay Kumar Agarwalla , Baowen Li , Jian-Sheng Wang

Charge transfer is a fundamental process that underlies a multitude of phenomena in chemistry and biology. Recent advances in observing and manipulating charge and heat transport at the nanoscale, and recently developed techniques for…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Galen T. Craven , Abraham Nitzan