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This paper proposes a unique optimization approach for estimating the minimax rational approximation and its application for evaluating matrix functions. Our method enables the extension to generalized rational approximations and has the…

Numerical Analysis · Mathematics 2025-04-03 Nir Sharon , Vinesha Peiris , Nadia Sukhorukova , Julien Ugon

Self-similar approximation theory allows for defining effective sums of asymptotic series. The method of self-similar factor approximants is applied for calculating the critical temperature and critical exponents of the $O(N)$-symmetric…

Statistical Mechanics · Physics 2022-05-12 V. I. Yukalov , E. P. Yukalova

In this paper, an elegant mathematical approach is introduced to solve the equations of warm inflationary model without using extra approximations other than slow-roll. This important inflationary method known as Hamilton-Jacobian…

General Relativity and Quantum Cosmology · Physics 2020-04-08 R. Saleem , M. Zubair

In this work, the Theory of Porous Media (TPM) is employed to model percutaneous vertebroplasty, a medical procedure in which acrylic cement is injected into cancellous vertebral bone. Previously, isothermal macroscale models have been…

Fluid Dynamics · Physics 2026-03-10 Jan-Sören L. Völter , Zubin Trivedi , Andreas Boger , Tim Ricken , Oliver Röhrle

The paper describes a method for measuring the thermal diffusivity of materials having a high thermal conductivity. The apparatus is rather simple and low-cost, being therefore suitable in a laboratory for undergraduate students of…

Physics Education · Physics 2014-01-15 Amelia Carolina Sparavigna

Heating and cooling load calculation based on dynamic models is widely used in simulation software and it is the method recommended by ASHRAE and CEN. The principle is to make the heat balance for the air volume of a room space considered…

Systems and Control · Electrical Eng. & Systems 2022-03-18 Christian Ghiaus

We introduce a class of thermal operations based on the collision model, where the system sequentially interacts with uncorrelated bath molecules via energy-preserving unitaries. To ensure finite complexity, each molecule is constrained to…

Quantum Physics · Physics 2025-12-11 Xueyuan Hu , Valerio Scarani

The optimized linear $\delta$-expansion is applied to the $\lambda \phi^4$ theory at high temperature. Using the imaginary time formalism the thermal mass is evaluated perturbatively up to order $\delta^2$. A variational procedure…

High Energy Physics - Phenomenology · Physics 2014-11-17 Marcus B. Pinto , Rudnei O. Ramos

Colloidal probes are often used in force microscopy when the geometry of the tip-sample interaction should be well controlled. Their calibration requires the understanding of their mechanical response, which is very sensitive to the details…

Instrumentation and Detectors · Physics 2024-03-08 Aubin Archambault , Caroline Crauste-Thibierge , Ludovic Bellon

The calculation of one loop integrals at finite temperature requires the evaluation of certain series, which converge very slowly or can even be divergent. Here we review a new method, recently devised by the author, for obtaining…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Amore

Tuning interfacial thermal conductance has been a key task for the thermal management of nanoelectronic devices. Here, it is studied how the interfacial thermal conductance is great influenced by modulating the mass distribution of the…

Materials Science · Physics 2021-05-05 Lina Yang , Xiao Wan , Dengke Ma , Yi Jiang , Nuo Yang

Thermal tomography is an imaging technique for deducing information about the internal structure of a physical body from temperature measurements on its boundary. This work considers time-dependent thermal tomography modeled by a parabolic…

Numerical Analysis · Mathematics 2017-07-25 Nuutti Hyvönen , Lauri Mustonen

This review article summarizes the requirement of low temperature conditions in existing experimental approaches to quantum computation and quantum simulation.

Quantum Physics · Physics 2021-03-01 Hailong Fu , Pengjie Wang , Zhenhai Hu , Yifan Li , Xi Lin

We explore the dynamics and observational predictions of the Warm Little Inflaton scenario, presently the simplest realization of warm inflation within a concrete quantum field theory construction. We consider three distinct types of scalar…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-10 Mar Bastero-Gil , Arjun Berera , Rafael Hernandez-Jimenez , Joao G. Rosa

This paper gives a short overview of the calculation of thermal properties of materials from first principles, using the Quasi-Harmonic Approximation (QHA). We first introduce some of the thermal properties of interest and describe how they…

Materials Science · Physics 2011-12-22 Stefano Baroni , Paolo Giannozzi , Eyvaz Isaev

We consider finite temperature dynamical correlation functions in the interacting delta-function Bose gas. In the low-temperature limit the asymptotic behaviour of correlation functions can be determined from conformal field theory. In the…

Statistical Mechanics · Physics 2009-10-31 Fabian H. L. Essler , Vladimir E. Korepin , Franck T. Latremoliere

We study the tiling of a two-dimensional region of the plane by $K$-cell one-dimensional tiles, or $K$-mers. Unlike previous studies, which typically allowed for one single value of $K$ or sometimes a small assortment of fixed values, here…

Statistical Mechanics · Physics 2026-02-25 Eduardo J. Aguilar , Valmir C. Barbosa , Raul Donangelo , Welles A. M. Morgado , Sergio R. Souza

In the context of computer models, calibration is the process of estimating unknown simulator parameters from observational data. Calibration is variously referred to as model fitting, parameter estimation/inference, an inverse problem, and…

Methodology · Statistics 2023-10-16 Richard D. Wilkinson , Christopher W. Lanyon

In this work we briefly present a thermomechanical model that could serve as starting point for industrial applications. We address the non-linearity due to temperature dependence of material properties and heterogeneity due to presence of…

Numerical Analysis · Mathematics 2022-08-25 Nirav Vasant Shah , Michele Girfoglio , Gianluigi Rozza

A method is described that allows calibration and assessment of the linearity of response of an array of photomultiplier tubes. The method does not require knowledge of the photomultiplier single photoelectron response model and uses…

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