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We obtain explicit expressions for one unknown thermal coefficient (among the conductivity, mass density, specific heat and latent heat of fusion) of a semi-infinite material through the one-phase fractional Lam\'e-Clapeyron-Stefan problem…

Analysis of PDEs · Mathematics 2015-09-15 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

In this paper, we study an insulation problem that seeks to determine the optimal distribution of a given amount $m>0$ of insulating material coating an insulated boundary part $\Gamma_I\subseteq \partial\Omega$ of a thermally conducting…

Analysis of PDEs · Mathematics 2025-12-16 Harbir Antil , Alex Kaltenbach , Keegan L. A. Kirk

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

Statistical Mechanics · Physics 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

Translation-invariant low-dimensional systems are known to exhibit anomalous heat transport. However, there are systems, such as the coupled-rotor chain, where translation invariance is satisfied, yet transport remains diffusive. It has…

Statistical Mechanics · Physics 2023-07-12 Piero Olla

Thermal conductivity and interfacial thermal conductance play crucial roles in the design of engineering systems where temperature and thermal stress are of concerns. To date, a variety of measurement techniques are available for both bulk…

Materials Science · Physics 2016-12-09 Dongliang Zhao , Xin Qian , Xiaokun Gu , Saad Ayub Jajja , Ronggui Yang

Thermal properties of a two-layered composite conductor are modified in case the interface is damaged. The present paper deals with nondestructive evaluation of perturbations of interface thermal conductance due to the presence of defects.…

Mathematical Physics · Physics 2026-05-13 Gabriele Inglese , Raffaele Inglese

We establish the nonequilibrium thermal phases of a voltage driven antiferromagnetic Mott insulator in three dimensions, realised at steady state under a voltage bias. Starting from the Keldysh action for the half filled Hubbard model we…

Strongly Correlated Electrons · Physics 2022-03-01 Arijit Dutta , Pinaki Majumdar

Structural system identification in the presence of thermal loads is challenging, as unmeasured or poorly modeled thermal effects can mask or mimic damage, leading to unreliable conclusions. This work presents an optimization-driven,…

Optimization and Control · Mathematics 2026-03-11 Talhah Shamshad Ali Ansari , Suneth Warnakulasuriya , Ihar Antonau , Harbir Antil , Rainald Löhner , Roland Wüchner

A photoionized gas under constant pressure can display a thermal instability, with three or more solutions for possible thermal equilibrium. A unique solution of the structure of the irradiated medium is obtained only if electron conduction…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 B. Czerny , L. Chevallier , A. C. Goncalves , A. Rozanska , A. -M. Dumont

Thermal balances and complete investigation of air flow along a uniformly heated vertical black thick steel plate (1000 to 8000 W/m\^2) have been obtained by means of a thermoanemometric method and infrared pyrometry. Several physical…

Classical Physics · Physics 2009-03-05 Thierry De Larochelambert

Heat management is crucial in the design of nanoscale devices as the operating temperature determines their efficiency and lifetime. Past experimental and theoretical works exploring nanoscale heat transport in semiconductors addressed…

A fast inverse heat conduction model (IHCM) is developed for estimating unknown properties of multi-layer composites considering internal heat generation. This work builds on the validated analytical forward models presented in Part I.…

Applied Physics · Physics 2025-07-10 Gan Fu , Mitrofan Curti , Calina Ciuhu , Elena A. Lomonova

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

In this article, we are proposing a thorough analysis of the cross, and the in-plane thermal conductivity of thin-film materials based on the 3$\omega$ method. The analysis accommodates a 2D mathematical heat transfer model of a…

Applied Physics · Physics 2020-07-02 Daxi Zhang , Amir Behbahanian , Nicholas A. Roberts

A non-Fourier thermal transport regime characterizes the heat conduction in solids with internal structure. Several thermodynamic theories attempt to explain the separation from the Fourier regime in such kind of systems. Here we develop a…

Classical Physics · Physics 2021-06-03 R. E. Gonzalez-Narvaez , M. López de Haro , F. Vázquez

This paper investigates shape optimization problems in the context of heat transfer, with a focus on the stability and non-optimality of round domains under Robin boundary conditions. Using the flow approach and Steklov eigenvalue…

Analysis of PDEs · Mathematics 2025-07-09 Qinfeng Li , Hang Yang

A paradigm for isothermal, mechanical rectification of stochastic fluctuations is introduced in this paper. The central idea is to transform energy injected by random perturbations into rigid-body rotational kinetic energy. The prototype…

Probability · Mathematics 2007-10-18 Nawaf Bou-Rabee , Houman Owhadi

In recent prior work, the author derived interfacial mass and heat flux conditions for phase-change processes. The mass flux condition is identical to the Schrage equation, but the additional heat flux expression enables one to couple the…

Applied Physics · Physics 2025-01-29 Gang Chen

Anisotropic thermal properties are of both fundamental and practical interests, but remain challenging to characterize using conventional methods. In this work, a new metrology based on asymmetric beam time-domain thermoreflectance…

Instrumentation and Detectors · Physics 2018-09-28 Man Li , Joon Sang Kang , Yongjie Hu
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