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We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact to two or more reservoirs with a temperature bias during all the cycle. We show that the…

量子物理 · 物理学 2022-03-29 Pablo Terren Alonso , Paolo Abiuso , Marti Perarnau-Llobet , Liliana Arrachea

The vertical heated-pipe is widely used in thermal engineering applications, as buoyancy can help drive a flow, but several flow regimes are possible: shear-driven turbulence, laminarised flow, and convective turbulence. Steady velocity…

流体动力学 · 物理学 2025-09-24 Shijun Chu , Elena Marensi , Ashley P. Willis

It has recently been shown theoretically that the time-dependent heat conduction equation is form-invariant under curvilinear coordinate transformations. Thus, in analogy to transformation optics, fictitious transformed space can be mapped…

材料科学 · 物理学 2013-05-14 Robert Schittny , Muamer Kadic , Sebastien Guenneau , Martin Wegener

This work is aimed at the study and analysis of the heat transport on a metal bar of length $L$ with a solid-solid interface. The process is assumed to be developed along one direction, across two homogeneous and isotropic materials.…

偏微分方程分析 · 数学 2021-10-28 Diana Rubio , Domingo A. Tarzia , Guillermo F. Umbricht

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…

偏微分方程分析 · 数学 2021-05-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

We extend our statistical mechanical theory of the glass transition from examples consisting of point particles to molecular liquids with internal degrees of freedom. As before, the fundamental assertion is that super-cooled liquids are…

统计力学 · 物理学 2012-07-31 Laurent Boué , H. G. E. Hentschel , Valery Ilyin , Itamar Procaccia

In this article we deal with one-dimensional inverse problems concerning the Burgers equation and some related nonlinear systems (involving heat effects and/or variable density). In these problems, the goal is to find the size of the…

偏微分方程分析 · 数学 2022-01-05 J. Apraiz , A. Doubova , E. Fernández-Cara , M. Yamamoto

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…

偏微分方程分析 · 数学 2025-12-16 Harbir Antil , Alex Kaltenbach , Keegan L. A. Kirk

The recently proposed strategy for studying the equilibrium thermodynamics of the glass phase using a molecular liquid is reviewed and tested in details on the solvable case of the $p$-spin model. We derive the general phase diagram, and…

凝聚态物理 · 物理学 2015-06-25 Marc Mezard

We are investigating the effective heat transfer in complex systems involving porous media and surrounding fluid layers in the context of mathematical homogenization. We differentiate between two fundamentally different cases: Case (a),…

偏微分方程分析 · 数学 2024-05-01 Michael Eden , Tom Freudenberg

Efficiently enhancing heat conduction through optimized distribution of a limited quantity of high thermal conductivity material is paramount in cooling electronic devices and numerous other applications. This paper introduces a…

计算工程、金融与科学 · 计算机科学 2024-05-24 Bo Zhang , Chi Zhang , Xiangyu Hu

A numerical analysis of heat conduction through the cover plate of a heat pipe is carried out to determine the temperature of the working substance, average temperature of heating and cooling surfaces, heat spread in the transmitter, and…

流体动力学 · 物理学 2017-02-20 Ramachandran. R , S. Anil Lal

Experimental results for condensation in compact heat exchangers show that the heat transfer due to condensation is significantly better compared to classical heat exchangers, especially when using R134a instead of water as the refrigerant.…

流体动力学 · 物理学 2015-03-18 Andrea Dziubek

Tackling the low-temperature fate of supercooled liquids is challenging due to the immense timescales involved, which prevent equilibration and lead to the operational glass transition. Relating glassy behaviour to an underlying,…

统计力学 · 物理学 2017-08-16 Francesco Turci , C. Patrick Royall , Thomas Speck

We use computer simulations to study the cooling rate dependence of the stability and energetics of model glasses created at constant pressure conditions and compare the results with glasses formed at constant volume conditions. To examine…

软凝聚态物质 · 物理学 2016-12-21 Hannah Staley , Elijah Flenner , Grzegorz Szamel

We propose a numerical technique to compute the equilibrium free energy of glasses that cannot be prepared quasi-reversibly. For such systems, standard techniques for estimating the free energy by extrapolation, cannot be used. Instead, we…

统计力学 · 物理学 2021-01-04 H. A. Vinutha , Daan Frenkel

In this paper we consider a shape optimization problem for the minimization of the erosion, that is caused by the impact of inert particles onto the walls of a bended pipe. Using the continuous adjoint approach, we formally compute the…

最优化与控制 · 数学 2019-08-14 Raphael Hohmann , Christian Leithäuser

This paper describes an inverse shape design method for thermoelastic bodies. With a known equilibrium shape as input, the focus of this paper is the determination of the corresponding initial shape of a body undergoing thermal expansion or…

数值分析 · 数学 2019-08-26 Florian Zwicke , Stefanie Elgeti

This paper proposes an inverse design scheme for resistive heaters. By adjusting the spatial distribution of a binary electrical resistivity map, the scheme enables objective-driven optimization of heaters to achieve pre-defined…

应用物理 · 物理学 2024-09-05 Khoi Phuong Dao , Juejun Hu

We use computer simulations to study the glass transition of dense fluids made of polydisperse, repulsive spheres. For hard particles, we vary the volume fraction, phi, and use compressible particles to explore finite temperatures, T>0. In…

统计力学 · 物理学 2009-08-25 Ludovic Berthier , Thomas A. Witten