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Recent results on theoretical studies of heat conduction in low-dimensional systems are presented. These studies are on simple, yet nontrivial, models. Most of these are classical systems, but some quantum-mechanical work is also reported.…

Statistical Mechanics · Physics 2009-11-13 Abhishek Dhar

Structural defects in one-dimensional heat conductors couple longitudinal (stretching) and transverse (bending) vibrations. This coupling results in the scattering of longitudinal phonons to transverse phonons and backwards. We show that…

Chemical Physics · Physics 2025-05-27 Alexander L. Burin

Controlling heat flow by phononic nanodevices has received significant attention recently because of its fundamental and practical implications. Elementary phononic devices such as thermal rectifiers, transistors, and logic gates are…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 Jie Ren , Jian-Xin Zhu

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

Engineering phonon transport in physical systems is a subject of interest in the study of materials and plays a crucial role in controlling energy and heat transfer. Of particular interest are non-reciprocal phononic systems, which in…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 Alireza Seif , Wade DeGottardi , Keivan Esfarjani , Mohammad Hafezi

Relaxation dynamics of embedded metal nanoparticles after ultrafast laser pulse excitation is driven by thermal phenomena of different origins the accurate description of which is crucial for interpreting experimental results: hot electron…

Materials Science · Physics 2009-11-13 Majid Rashidi-Huyeh , Sebastian Volz , Bruno Palpant

Transient cooling phenomenon in two-dimensional materials is studied based on the phonon Boltzmann transport equation (BTE). Using a heating laser pulse to heat the two-dimensional disk geometry under the environment temperature, after the…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Chuang Zhang , Lei Wu

Molecular dynamics simulations and nonequilibrium importance sampling are used to study the heat transport of low dimensional carbon lattices. For both carbon nanotubes and graphene sheets heat transport is found to be anomalous, violating…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Ushnish Ray , David T. Limmer

We develop a general dynamical theory for studying a single photon transport in a one-dimensional (1D) waveguide coupled to multiple emitters which can be either identical or non-identical. In this theory, both the effects of the waveguide…

Quantum Physics · Physics 2016-11-30 Zeyang Liao , Hyunchul Nha , M. Suhail Zubairy

Departures in phonon heat conduction from diffusion have been extensively observed in nanostructures through their thermal conductivity reduction and largely explained with classical size effects neglecting phonon's wave nature. Here, we…

The properties of an unconventional, single mode phonon bath coupled to a quantum dot, are investigated within the rotating wave approximation. The electron current through the dot induces an out of equilibrium bath, with a phonon…

Mesoscale and Nanoscale Physics · Physics 2011-10-10 F. Cavaliere , G. Piovano , E. Paladino , M. Sassetti

We develop a unified theory for the second sound in two dimensional materials. Previously studied drifting and driftless second sound are two limiting cases of the theory, corresponding to the drift and diffusive part of the energy flux,…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Man-Yu Shang , Wen-Hao Mao , Nuo Yang , Baowen Li , Jing-Tao Lü

In this work, the heat vortexes in two-dimensional porous or ribbon structures are investigated based on the phonon Boltzmann transport equation (BTE) under the Callaway model. First, the separate thermal effects of normal (N) scattering…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 Chuang Zhang , Songze Chen , Zhaoli Guo

We consider the deformation potential mechanism of the electron-phonon coupling in metal films and investigate the intensity of the associated heat transfer between the electron and phonon subsystems. The focus is on the temperature region…

Mesoscale and Nanoscale Physics · Physics 2016-03-31 S. Cojocaru , D. V. Anghel

We first propose fundamental solutions of wave propagation in one-dimensional dispersive chain subject to a localized initial perturbation in the displacement. Analytical solutions are obtained for both second order nonlinear dispersive…

Statistical Mechanics · Physics 2018-08-31 Zhijie Xu

In this paper we give a brief review of the relation between microscopic dynamical properties and the Fourier law of heat conduction as well as the connection between anomalous conduction and anomalous diffusion. We then discuss the…

Materials Science · Physics 2015-06-25 Giulio Casati , Baowen LI

The untapped potential of thermal metamaterials requires the simultaneous observation of both diffusive and wave-like heat propagation across multiple length scales that can only be realised through theories beyond Fourier. Here, we…

Materials Science · Physics 2025-08-06 Harry Mclean , Francis Huw Davies , Ned Thaddeus Taylor , Steven Paul Hepplestone

Heat conduction at low temperatures show various effects that cannot be described by the Fourier law, like the second sound and ballistic propagation. In this paper the performance of various theories is compared in case of ballistic and…

Statistical Mechanics · Physics 2017-04-11 R. Kovács , P. Ván

We investigate the dynamics of an electron coupled to dispersionless optical phonons in the Holstein model, at high temperatures. The dynamics is conventionally believed to be diffusive, as the electron is repeatedly scattered by optical…

Strongly Correlated Electrons · Physics 2020-07-03 Chen-Yen Lai , S. A. Trugman

The class of layered 3D-topological insulators have shown intriguingly anomalous temperature dependence in their thermal expansion coefficients. It was proposed that stacking faults are the origin of the observed anomalous thermal…

Materials Science · Physics 2020-01-08 Gyan Prakash , Koushik Pal , U. V. Waghmare , A. K. Sood
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