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We study thermal transport through Pt nanowires that bridge planar contacts as a function of wire length and vibrational frequency of the contacts. When phonons in the contacts have lower average frequencies than those in the wires thermal…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Ya Zhou , Alejandro Strachan

We study the quantum thermal transport of elastic excitations through a two-dimensional elastic waveguide between two thermal reservoirs. We solve the classical Kirchhoff-Love equation for rectangular wires and explore the dispersion…

The occurrence of thermal transport phenomena is widespread, exerting a pivotal influence on the functionality of diverse electronic and thermo-electric energy-conversion devices. The traditional first-principles theory governing the…

Materials Science · Physics 2026-05-20 Soham Mandal , Manish Jain , Prabal K. Maiti

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 study ballistic interfacial thermal transport across atomic junctions. Exact expressions for phonon transmission coefficients are derived for thermal transport in one-junction and two-junction chains, and verified by numerical…

Materials Science · Physics 2011-03-02 Lifa Zhang , Pawel Keblinski , Jian-Sheng Wang , Baowen Li

We propose an ensemble theory for the non-equilibrium statistics to study the thermal transport in anharmonic crystals. In the theory, lattice vibrations of the crystals are quantized by local Bosons(LBs), instead of Phonons as usually used…

Statistical Mechanics · Physics 2023-12-15 Li Wan

A canonical quantization procedure is applied to the interaction of elastic waves --phonons-- with infinitely long dislocations that can oscillate about an equilibrium, straight line, configuration. The interaction is implemented through…

Materials Science · Physics 2021-02-26 Fernando Lund , Bruno Scheihing Hitschfeld

We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerically observed for particular coupling parameters before, and…

Statistical Mechanics · Physics 2007-05-23 Kenichiro Aoki , Jani Lukkarinen , Herbert Spohn

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

Wavepacket transport across a nonlinear region is studied numerically at zero and finite temperatures. In contrary to the zero temperature case which demonstrates ballistic transport, finite temperature lattice vibrations suppresses the…

Mesoscale and Nanoscale Physics · Physics 2019-02-14 Sima Pouyandeh , Hadi Zahir Olyaei

Thermal conductivity of aligned polymer molecules can be exceptionally high along the alignment direction due to energy transport through strong covalent bonds. At the same time, it is highly sensitive to molecular conformation, varying by…

Chemical Physics · Physics 2026-04-29 Igor V. Parshin , Igor V. Rubtsov , Alexander L. Burin

We propose a feasible and effective approach to study quantum thermal transport through anharmonic systems. The main idea is to obtain an {\it effective} harmonic Hamiltonian for the anharmonic system by applying the self-consistent phonon…

Statistical Mechanics · Physics 2016-10-19 Dahai He , Juzar Thingna , Jian-Sheng Wang , Baowen Li

Problems of heat transport are ubiquitous to various technologies such as power generation, cooling, electronics, and thermoelectrics. In this paper we advocate for the application of the quantum self-consistent reservoir method, which is…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Roya Moghaddasi Fereidani , Dvira Segal

After reviewing the main features of anomalous energy transport in 1D systems, we report simulations performed with chains of noisy anharmonic oscillators. The stochastic terms are added in such a way to conserve total energy and momentum,…

Statistical Mechanics · Physics 2008-01-25 G. Basile , L. Delfini , S. Lepri , R. Livi , S. Olla , A. Politi

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

Inspired by some recent molecular dynamics (MD) simulations and experiments on suspended graphene nanoribbons, we study a simplified model where the atoms are disposed in a rectangular lattice coupled by nearest neighbor interactions which…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 R. Barreto , M. F. Carusela , A. Mancardo Viotti , A. G. Monastra

One-dimensional particle chains are fundamental models to explain anomalous thermal conduction in low-dimensional solids like nanotubes and nanowires. In these systems the thermal energy is carried by phonons, i.e. propagating lattice…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Francesco De Vita , Giovanni Dematteis , Raffaele Mazzilli , Davide Proment , Yuri V. Lvov , Miguel Onorato

We consider transport through a vibrating molecular quantum dot contacted to macroscopic leads acting as charge reservoirs. In the equilibrium and nonequilibrium regime, we study the formation of a polaron-like transient state at the…

Strongly Correlated Electrons · Physics 2015-06-04 T. Koch , H. Fehske , J. Loos

SrTiO$_3$ has been extensively investigated owing to its abundant degrees of freedom for modulation. However, the microscopic mechanism of thermal transport especially the relationship between phonon scattering and lattice distortion during…

Materials Science · Physics 2023-03-15 Jian Han , Changpeng Lin , Ce-wen Nan , Yuan-hua Lin , Ben Xu

We study non-equilibrium properties of a chain of $N$ oscillators with both long-ranged harmonic interactions and long-range conservative noise that exchange momenta of particle pairs. We derive exact expressions for the (deterministic)…

Statistical Mechanics · Physics 2025-01-14 Francesco Andreucci , Stefano Lepri , Carlos Mejía-Monasterio , Stefano Ruffo
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