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This article presents a reformulation of the Theory of Functional Connections: a general methodology for functional interpolation that can embed a set of user-specified linear constraints. The reformulation presented in this paper exploits…

Numerical Analysis · Mathematics 2020-08-07 Carl Leake , Hunter Johnston , Daniele Mortari

We discuss what kind of quantum channels can enable thermalization processes. We show that in order to determine a system's temperature, a thermometer needs to dynamically gain information about the system's local Hamiltonian and not just…

Quantum Physics · Physics 2021-11-09 Daniel Grimmer , Robert B. Mann , Eduardo Martin-Martinez

The thermal response function given to a unit-step dissipation accurately characterizes the thermal system. Instead of the thermal response function the so-called structure function describing three-dimensional as the equivalent model of…

Materials Science · Physics 2007-09-13 E. Kollár , V. Szekely

A classification of the tasks of human thermoregulation is proposed, which allows combining various scientific studies into one system, which takes into account environmental factors, biological feedback in the body and different properties…

Medical Physics · Physics 2021-11-08 Dmitry Simankov

A microscopic formalism to calculate thermal transport coefficients is presented based on a thermal vector potential, whose time-derivative is related to a thermal force. The formalism is free from unphysical divergences reported to arise…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Gen Tatara

We initiate an approach to constraining conformal field theory (CFT) data at finite temperature using methods inspired by the conformal bootstrap for vacuum correlation functions. We focus on thermal one- and two-point functions of local…

High Energy Physics - Theory · Physics 2018-11-14 Luca Iliesiu , Murat Koloğlu , Raghu Mahajan , Eric Perlmutter , David Simmons-Duffin

Varying temperatures influence the figure errors of freeform metal mirrors by thermal expansion. Furthermore, different materials lead to thermo-elastic bending effects. The article presents a derivation of a compensation approach for…

Applied Physics · Physics 2018-06-06 Johannes Hartung , Henrik von Lukowicz , Jan Kinast

In this paper new characterization equipment for thermal interface materials is presented. Thermal management of electronic products relies on the effec-tive dissipation of heat. This can be achieved by the optimization of the system design…

Materials Science · Physics 2007-09-13 R. Schacht , D. May , B. Wunderle , O. Wittler , A. Gollhardt , B. Michel , H. Reichl

The standard formula that describes the thermal expansion of a solid creates several puzzles for discerning students. Three puzzles are reviewed, and their common resolution discussed both conceptually and quantitatively.

Physics Education · Physics 2007-05-23 Rajesh R. Parwani

The minimax theory for estimating linear functionals is extended to the case of a finite union of convex parameter spaces. Upper and lower bounds for the minimax risk can still be described in terms of a modulus of continuity. However in…

Statistics Theory · Mathematics 2007-06-13 T. Tony Cai , Mark G. Low

Infrared thermography faces persistent challenges in temperature accuracy due to material emissivity variations, where existing methods often neglect the joint optimization of radiometric calibration and image degradation. This study…

Image and Video Processing · Electrical Eng. & Systems 2025-06-23 Ning Chu , Siya Zheng , Shanqing Zhang , Li Li , Caifang Cai , Ali Mohammad-Djafari , Feng Zhao , Yuanbo Song

We considered the thermodynamics in spaces with deformed commutation relation leading to existence of the minimal length. We developed a classical method of the partition function evaluation. We calculated the partition function and heat…

Quantum Physics · Physics 2009-11-13 Taras Fityo

We show the existence and optimal regularity of the optimal temperature configuration in a problem in heat conduction with minimal temperature constraint, interior heating and exterior insulation. Regularity of the two free boundaries is…

Analysis of PDEs · Mathematics 2016-04-29 Hui Yu

In the study of thermalization in finite isolated quantum systems, an inescapable issue is the definition of temperature. We examine and compare different possible ways of assigning temperatures to energies or equivalently to eigenstates in…

Statistical Mechanics · Physics 2023-02-03 Phillip C. Burke , Goran Nakerst , Masudul Haque

The energy calibration of calorimeters at collider experiments, such as the ones at the CERN Large Hadron Collider, is crucial for achieving the experiments physics objectives. Standard calibration approaches have limitations that become…

Primary power standards in the microwave domain are realized using a calorimetric technique, usually identified with the used measurement system, i.e., the microcalorimeter. It is adjusted for measurement of power ratios with a relative…

Instrumentation and Detectors · Physics 2021-03-09 L. Brunetti , L. Oberto

Topological Insulators are the best thermoelectric materials involving a sophisticated physics beyond their solid state and electronic structure. We show that exists a topological contribution to the thermoelectric effect that arise between…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Daniel Baldomir , Daniel Faílde

We present the details of a recently discovered representation of conformal four-point ladder integrals as thermal one-point functions in scalar field theories. We show that the conformal ladder integrals can be constructed from the…

High Energy Physics - Theory · Physics 2025-10-17 Manthos Karydas , Songyuan Li , Anastasios C. Petkou , Matthieu Vilatte

This note relates the calibration of models to the consistent loss functions for the target functional of the model. We demonstrate that a model is calibrated if and only if there is a parameter value that is optimal under all consistent…

Statistics Theory · Mathematics 2025-02-18 Anja Mühlemann , Johanna Ziegel

A neurophysiological thesis is proposed for thermal sensitivity that accounts for the disorder in physical processes that is fundamental to temperature. There is likely some form of thermal equilibrium rapidly established between…

General Physics · Physics 2007-05-23 D. M. Snyder
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