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Problems of heat transport are ubiquitous to various technologies such as power generation, cooling, electronics, and thermoelectrics. Within this context it is natural that external heat flux control on nanoscale devices became an…

Statistical Mechanics · Physics 2023-01-02 M. Romero-Bastida , Ana Gabriela Martínez-Rosas

We establish an approach to compute linear-response functions to elucidate heat waves and non-local thermal transport. The theory is able to describe the response of a system to external heat sources that are nonuniform in space and time.…

Mesoscale and Nanoscale Physics · Physics 2021-11-04 Kevin Fernando , Patrick K. Schelling

The divergence of the thermal conductivity in the thermodynamic limit is thoroughly investigated. The divergence law is consistently determined with two different numerical approaches based on equilibrium and non-equilibrium simulations. A…

Statistical Mechanics · Physics 2009-10-31 Stefano Lepri , Roberto Livi , Antonio Politi

We analyze quantum transport of charged fermionic particles in the tight-binding lattice connecting two particle reservoirs (the leads). If the lead chemical potentials are different they create an electric field which tilts the lattice. We…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Andrey R. Kolovsky

We study the thermal conductivity of the one-dimensional Fermi-Hubbard model at finite temperature using a density matrix renormalization group approach. The integrability of this model gives rise to ballistic thermal transport. We…

Strongly Correlated Electrons · Physics 2016-09-14 C. Karrasch , D. M. Kennes , F. Heidrich-Meisner

We investigate nonequilibrium steady states in a class of one-dimensional diffusive systems that can attain negative absolute temperatures. The cases of a paramagnetic spin system, a Hamiltonian rotator chain and a one-dimensional discrete…

Statistical Mechanics · Physics 2021-05-26 Marco Baldovin , Stefano Iubini

High-temperature bad-metal transport has been recently studied both theoretically and in experiments as one of the key signatures of strong electronic correlations. Here we use the dynamical mean field theory (DMFT) and its cluster…

Strongly Correlated Electrons · Physics 2020-09-23 A. Vranic , J. Vucicevic , J. Kokalj , J. Skolimowski , R. Zitko , J. Mravlje , D. Tanaskovic

There has been much interest in semiconductor superlattices because of showing very low thermal conductivities. This makes them especially suitable for applications in a variety of devices for thermoelectric generation of energy, heat…

Statistical Mechanics · Physics 2020-02-06 Federico Vázquez , Péter Ván , Róbert Kovács

We study the thermal transport properties of the one dimensional Fermi-Pasta-Ulam model ($\beta$-type) with long-range interactions. The strength of the long-range interaction decreases with the (shortest) distance between the lattice sites…

Statistical Mechanics · Physics 2017-03-06 Debarshee Bagchi

We work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic systems. Our approach is to write quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Abhishek Dhar , Dibyendu Roy

In contrary to other 1D momentum-conserving lattices such as the Fermi-Pasta-Ulam $\beta$ (FPU-$\beta$) lattice, the 1D coupled rotator lattice is a notable exception which conserves total momentum while exhibits normal heat conduction…

Statistical Mechanics · Physics 2015-07-20 Yunyun Li , Nianbei Li , Baowen Li

When coupling thermal baths at different temperatures, negative differential thermal conductivity is typically attributed to nonlinear interactions in the connecting medium. In this work, we demonstrate that such an effect can arise purely…

Statistical Mechanics · Physics 2026-05-13 Simon Krekels , Christian Maes , Ion Santra , Ruoxun Zhai

We investigate finite temperature corrections to the Landauer formula due to electron-electron interaction within the quantum point contact. When the Fermi level is close to the barrier height, the interaction is strongly enhanced due to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Sloggett , A. I. Milstein , O. P. Sushkov

The study of heat transport in low-dimensional oscillator lattices presents a formidable challenge. Theoretical efforts have been made trying to reveal the underlying mechanism of diversified heat transport behaviors. In lack of a unified…

Statistical Mechanics · Physics 2016-05-05 Lei Wang , Nianbei Li , Peter Hanggi

We investigate the temperature dependence of the conductivity in ballistic graphene using Landauer transport theory. We obtain results which are qualitatively in agreement with many features recently observed in transport measurements on…

Mesoscale and Nanoscale Physics · Physics 2009-11-12 Markus Mueller , Matthias Braeuninger , Bjoern Trauzettel

Heat flux ($J$) generally increases with temperature difference in a material. A differential coefficient of $J$ against temperature ($T$) is called differential thermal conductance ($k$), and an inverse of $k$ is differential thermal…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Wataru Kobayashi

Radiative heat-transport mediated by near-field interactions is known to be superdiffusive in dilute, many-body systems. In this Letter we use a generalized Landauer theory of radiative heat transfer in many-body planar systems to…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Ivan Latella , Svend-Age Biehs , Riccardo Messina , Alejandro W. Rodriguez , Philippe Ben-Abdallah

We study thermal processes in infinite harmonic crystals having a unit cell with arbitrary number of particles. Initially particles have zero displacements and random velocities, corresponding to some initial temperature profile. Our main…

Statistical Mechanics · Physics 2019-06-24 Vitaly A. Kuzkin

A clear understanding and proper control of interfacial thermal transport is important in nanoscale device. In this review, we first discuss the theoretical methods to handle the interfacial thermal transport problem, such as the…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Hangbo Zhou , Gang Zhang

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