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We consider two optimization problems in thermal insulation: in both cases the goal is to find a thin layer around the boundary of the thermal body which gives the best insulation. The total mass of the insulating material is prescribed..…

Optimization and Control · Mathematics 2017-08-29 Dorin Bucur , Giuseppe Buttazzo , Carlo Nitsch

Negative thermal expansion materials are important and desirable in science and engineering applications. However, natural materials with isotropic negative thermal expansion are rare and usually unsatisfied in performance. Here, we propose…

Materials Science · Physics 2015-09-29 Lingling Wu , Bo Li , Ji Zhou

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

We study the refrigerator working between a finite-sized cold heat bath and an infinite-sized hot heat bath (environment) in the nonlinear response regime. We assume that the initial temperature $T_i$ of the finite-sized cold heat bath…

Statistical Mechanics · Physics 2025-09-01 I. Iyyappan , Yuki Izumida , Sibasish Ghosh

In order to better understand the minimal ingredients for thermal rectification, we perform a detailed investigation of a simple spin chain, namely, the open XX model with a Lindblad dynamics involving global dissipators. We use a…

Quantum Physics · Physics 2021-01-04 Saulo H. S. Silva , Gabriel T. Landi , Raphael C. Drumond , Emmanuel Pereira

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

Through quantum mechanical considerations, we optimize the material response factor $|\chi|^2/\text{Im}\left[\chi \right]$, which plays a pivotal role in the fundamental limits of near-field radiative heat transfer (RHT). A comparison of…

Optics · Physics 2020-02-14 Ethan L. Crowell , Mark G. Kuzyk

We show that for one dimensional systems with momentum conservation, the thermal conductivity $\kappa$ generically diverges with system size as $L^{1/3}.$

Statistical Mechanics · Physics 2009-11-07 Onuttom Narayan , Sriram Ramaswamy

We have determined the thermal conductance of a system consisting of a two-level atom coupled to two quantum harmonic oscillators in contact with heat reservoirs at distinct temperatures. The calculation of the heat flux as well as the…

Statistical Mechanics · Physics 2017-04-07 Pedro H. Guimarães , Gabriel T. Landi , Mário J. de Oliveira

We show in this article that phase change materials (PCM) exhibiting a phase transition between a dielectric state and a metallic state are good candidates to perform modulation as well as amplification of radiative thermal flux. We propose…

Materials Science · Physics 2015-06-24 Karl Joulain , Younès Ezzahri , Jérémie Drevillon , Philippe Ben-Abdallah

We propose an efficient method of heat rectification in a simple system consisting of a quantum dot asymmetrically coupled to four mutually perpendicular electrodes. In such a device the Hall-like charge and heat currents appear in response…

Mesoscale and Nanoscale Physics · Physics 2023-04-19 Karol I. Wysokiński

Thermal transistor is an efficient heat control device which can act as a heat switch as well as a heat modulator. In this paper, we study systematically one-dimensional and two-dimensional thermal transistors. In particular, we show how to…

Statistical Mechanics · Physics 2008-03-21 Wei Chung Lo , Lei Wang , Baowen Li

We derive the expression for the thermal conductivity \kappa in the low-temperature limit T \to 0 in d-wave superconductors, taking into account the presence of competing orders such as spin-density wave, is-pairing, etc.. The expression is…

Strongly Correlated Electrons · Physics 2015-06-24 V. P. Gusynin , V. A. Miransky

We provide convincing empirical evidence that long range interactions strongly enhance the rectification effect which takes place in mass graded systems. Even more importantly the rectification does not decrease with the increase of the…

Statistical Mechanics · Physics 2015-08-27 Shunda Chen , Emmanuel Pereira , Giulio Casati

We investigate the possibility to obtain a thermal diode with functionally graded Si-Ge alloys. A wire with variable section is considered. After the introduction of a formula giving the thermal conductivity of the wire as a function of the…

Other Condensed Matter · Physics 2023-05-01 Sandra Carillo , Maria Grazia Naso , Elena Vuk , Federico Zullo

An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of…

Analysis of PDEs · Mathematics 2021-05-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

The response of electric devices to an applied thermal gradient has, so far, been studied almost exclusively in two-terminal devices. Here we present measurements of the response to a thermal bias of a four-terminal, quasi-ballistic…

Mesoscale and Nanoscale Physics · Physics 2012-06-15 Jason Matthews , David Sánchez , Marcus Larsson , Heiner Linke

Hyperbolic metamaterials (HMMs) support propagating waves with arbitrarily large wavevectors over broad spectral ranges, and are uniquely valuable for engineering radiative thermal transport in the near field. Here, by employing a rational…

Optics · Physics 2022-02-04 Qizhang Li , Haiyu He , Qun Chen , Bai Song

We present a new method for predicting effective thermal conductivity ($\kappa_{\textrm{eff}}$) in materials, informed by ${ab\,initio}$ material property simulations. Using the Boltzmann transport equation in a Self-Adjoint Angular Flux…

Materials Science · Physics 2019-08-22 Jackson R. Harter , Aria Hosseini , Todd. S. Palmer , P. Alex Greaney

The figure of merit for refrigerators performing finite-time Carnot-like cycles between two reservoirs at temperature $T_h$ and $T_c$ ($<T_h$) is optimized. It is found that the coefficient of performance at maximum figure of merit is…

Statistical Mechanics · Physics 2012-07-26 Yang Wang , Mingxing Li , Z. C. Tu , A. Calvo Hernández , J. M. M. Roco