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Related papers: Thermal rectification in anharmonic chains under a…

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We consider the detailed structure of correlations in harmonic chains with pinning and a bulk velocity flip noise during the heat relaxation phase which occurs on diffusive time scales, for $t=O(L^2)$ where $L$ is the chain length. It has…

Mathematical Physics · Physics 2018-01-30 Jani Lukkarinen , Matteo Marcozzi , Alessia Nota

We demonstrate that a three-terminal harmonic symmetric chain in the presence of a Coriolis force, produced by a rotating platform which is used to place the chain, can produce thermal rectification. The direction of heat flow is…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Suwun Suwunnarat , Huanan Li , Ragnar Fleischmann , Tsampikos Kottos

We discuss the problem of heat conduction in classical and quantum low dimensional systems from a microscopic point of view. At the classical level we provide convincing numerical evidence for the validity of Fourier law of heat conduction…

Statistical Mechanics · Physics 2008-07-15 Giulio Casati , Carlos Mejia-Monasterio

The radial thermal rectification in the concentric silicon ring from ballistic to diffusive regime is investigated based on the phonon Boltzmann transport equation. In the ballistic and diffusive limits, the analytical solutions prove that…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 Chuang Zhang , Songze Chen , Zhaoli Guo

In this work we perform a systematic analysis of various structural parameters that have influence on the thermal rectification effect, i.e. asymmetrical heat flow, and the negative differential thermal resistance -- reduction of the heat…

Statistical Mechanics · Physics 2023-10-12 M Romero-Bastida , Brandon Armando Martínez-Torres

The understanding of the underlying dynamical mechanisms which determine the macroscopic laws of heat conduction is a long standing task of non-equilibrium statistical mechanics. A better understanding of the mechanism of heat conduction…

Statistical Mechanics · Physics 2011-09-08 Giulio Casati , Carlos Mejia-Monasterio

In order to identify the basic conditions for thermal rectification we investigate a simple model with non-uniform, graded mass distribution. The existence of thermal rectification is theoretically predicted and numerically confirmed,…

Statistical Mechanics · Physics 2012-07-06 Jiao Wang , Emmanuel Pereira , Giulio Casati

We prove the hydrodynamic limit for a one-dimensional harmonic chain of interacting atoms with a random flip of the momentum sign. The system is open: at the left boundary it is attached to a heat bath at temperature $T_-$, while at the…

Probability · Mathematics 2025-04-18 Tomasz Komorowski , Stefano Olla , Marielle Simon

We present a theoretical study of radiative heat transport in nonlinear solid-state quantum circuits. We give a detailed account of heat rectification effects, i.e. the asymmetry of heat current with respect to a reversal of the thermal…

Mesoscale and Nanoscale Physics · Physics 2009-04-28 Tomi Ruokola , Teemu Ojanen , Antti-Pekka Jauho

We address a keystone problem for the progress of phononics: the proposal of efficient thermal diodes. Aiming the disclosure of an easy itinerary for the building of a heat rectifier, we investigate unsophisticated systems linked to simple…

Quantum Physics · Physics 2019-03-27 Emmanuel Pereira

We consider $d$-dimensional chains of (an)harmonic oscillators we perturb by a noise conserving energy or energy and momentum. We review the thermal conduction properties we obtained for these systems and conclude by several open questions.

Statistical Mechanics · Physics 2009-06-22 Cedric Bernardin

The effects of quantum and thermal corrections on the dynamics of a damped nonlinearly kicked harmonic oscillator are studied. This is done via the Quantum Langevin Equation formalism working on a truncated moment expansion of the density…

Quantum Physics · Physics 2007-05-23 M. Rodriguez-Achach , G. Perez , H. Cerdeira

In this work we study the asymmetric heat flow, i.e., thermal rectification, of a one-dimensional, mass-graded system consisting of acoupled harmonic oscillator lattice (ballistic spacer) and two diffusive leads attached to the boundaries…

Statistical Mechanics · Physics 2021-03-03 M. Romero-Bastida , Jeanette-Ivonne Amaya-Durán

Recent works proved a hydrodynamic limit for periodically forced atom chains with harmonic interaction and pinning, together with momentum flip. When energy is the only conserved quantity, one would expect similar results in the anharmonic…

Statistical Mechanics · Physics 2026-02-10 Shiva Darshan , Alessandra Iacobucci , Stefano Olla , Gabriel Stoltz

We study the energy diffusion in a chain of anharmonic oscillators where the Hamiltonian dynamics is perturbed by a local energy conserving noise. We prove that under diffusive rescaling of space-time, energy fluctuations diffuse and evolve…

Mathematical Physics · Physics 2017-05-01 Stefano Olla , Makiko Sasada

By coupling the asymmetric three-terminal mesoscopic dielectric system with a temperature probe, at low temperature, the ballistic heat flux flow through the other two asymmetric terminals in the nonlinear response regime is studied based…

Mesoscale and Nanoscale Physics · Physics 2010-10-27 Yi Ming , Zhe Xian Wang , Ze Jun Ding , Hui Min Li

We study the thermal properties of a pinned disordered harmonic chain weakly perturbed by a noise and an anharmonic potential. The noise is controlled by a parameter $\lambda \rightarrow 0$, and the anharmonicity by a parameter $\lambda'…

Mathematical Physics · Physics 2013-10-08 Cédric Bernardin , François Huveneers

We consider a system consisting of two interacting classical particles, each one subject to an on-site potential and to a Langevin thermal bath. We analytically calculate the heat current that can be established through the system when the…

Statistical Mechanics · Physics 2021-07-14 Lucianno Defaveri , Celia Anteneodo

We summarize and extend some of the results obtained recently for the microscopic and macroscopic behavior of a pinned harmonic chain, with random velocity flips at Poissonian times, acted on by a periodic force {at one end} and in contact…

Statistical Mechanics · Physics 2023-05-17 Tomasz Komorowski , Joel Lebowitz , Stefano Olla , Marielle Simon

We study heat rectification in a minimalistic model composed of two masses subjected to on-site and coupling linear forces in contact with effective Langevin baths induced by laser interactions. Analytic expressions of the heat currents in…

Statistical Mechanics · Physics 2021-02-03 M. A. Simón , A. Alaña , M. Pons , A. Ruiz-García , J. G. Muga