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In this paper we propose a subgradient algorithm for solving the equilibrium problem where the bifunction may be quasiconvex with respect to the second variable. The convergence of the algorithm is investigated. A numerical example for a…

Optimization and Control · Mathematics 2019-11-04 Le Hai Yen , Le Dung Muu

Considering high-temperature heating, the equations of transient heat conduction model require an adaptation, i.e. the dependence of thermophysical parameters of the model on the temperature is to be identified for each specific material to…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Zhukov Petr , Glushchenko Anton , Fomin Andrey

Within the model of self-consistent connection of quasi-Rayleigh wave with adsorbed atoms, a method of constructing a new class of radiometric sensors of the temperature and concentration of adsorbed atoms on the surface acoustic waves is…

Soft Condensed Matter · Physics 2021-03-30 M. Ya. Seneta , R. M. Peleshchak , A. I. Nesterivskyi , N. I. Lazurchak , S. K. Guba

From the final and interior temperature measurements identifying the source term with initial temperature simultaneously is an inverse heat conduction problem which is a kind of ill-posed. The optimal control framework has been found to be…

Analysis of PDEs · Mathematics 2020-06-16 Arzu Erdem Coşkun

An intriguing phenomenon in non-equilibrium quantum thermodynamics is the asymmetry of thermal processes. Relaxation to thermal equilibrium is the most important dissipative process, being a key concept for the design of heat engines and…

Quantum Physics · Physics 2025-04-09 Álvaro Tejero , Rafael Sánchez , Laiachi El Kaoutit , Daniel Manzano , Antonio Lasanta

In this paper an asymptotic homogenization method for the analysis of composite materials with periodic microstructure in presence of thermodiffusion is described. Appropriate down-scaling relations correlating the microscopic fields to the…

Mathematical Physics · Physics 2015-12-31 A. Bacigalupo , L. Morini , A. Piccolroaz

Simple data correlation of flashpoint data of binary mixture has been developed on a basic of rational reciprocal function. The new approximation requires has only two coefficients and needs the flashpoint temperature of the pure flammable…

Chemical Physics · Physics 2011-07-28 Mariana Hristova , Dimitar Damgaliev , Jordan Hristov

Bayesian methods feature useful properties for solving inverse problems, such as tomographic reconstruction. The prior distribution introduces regularization, which helps solving the ill-posed problem and reduces overfitting. In practice,…

Image and Video Processing · Electrical Eng. & Systems 2021-12-02 Max-Heinrich Laves , Malte Tölle , Alexander Schlaefer , Sandy Engelhardt

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

Statistical Mechanics · Physics 2024-07-03 Jean-Luc Garden

Using only the assumption that all interactions between particles in an accretion flow are electromagnetically mediated, it is shown that the time to establish equipartition between ions and electrons is shorter than the characteristic…

Astrophysics · Physics 2007-05-23 James Binney

We propose a method, Temperature Integration, which allows an efficient calculation of free energy differences between two systems of interest, with the same degrees of freedom, which may have rough energy landscapes. The method is based on…

Statistical Mechanics · Physics 2015-06-12 Asaf Farhi , Guy Hed , Michael Bon , Nestor Caticha , Chi H Mak , Eytan Domany

Accurate description of finite-temperature vibrational dynamics is indispensable in the computation of two-dimensional electronic spectra. Such simulations are often based on the density matrix evolution, statistical averaging of initial…

Chemical Physics · Physics 2024-09-26 Tomislav Begušić , Jiří Vaníček

Thermal operations are an operational model of non-equilibrium quantum thermodynamics. In the absence of coherence between energy levels, exact state transition conditions under thermal operations are known in terms of a mathematical…

Quantum Physics · Physics 2015-08-11 Varun Narasimhachar , Gilad Gour

It has been argued by Grigoriev and Rubakov that one can simulate real time processes involving baryon number non-conservation at high temperature using real time evolution of classical equations, and summing over initial conditions with a…

High Energy Physics - Theory · Physics 2008-11-26 Dietrich Bödeker , Larry McLerran , Andrei Smilga

The quasi-harmonic Debye approximation has been implemented within the AFLOW and Materials Project frameworks for high-throughput computational science (Automatic Gibbs Library, AGL), in order to calculate thermal properties such as the…

This paper studies a class of simple bilevel optimization problems where we minimize a composite convex function at the upper-level subject to a composite convex lower-level problem. Existing methods either provide asymptotic guarantees for…

Optimization and Control · Mathematics 2024-03-06 Jiulin Wang , Xu Shi , Rujun Jiang

The renormalization of electronic eigenenergies due to electron-phonon coupling is sizable in many materials with light atoms. This effect, often neglected in ab-initio calculations, can be computed using the perturbation-based…

The non-uniform surface temperature distribution of rotating active stars is routinely mapped with the Doppler Imaging technique. Inhomogeneities in the surface produce features in high-resolution spectroscopic observations that shift in…

Instrumentation and Methods for Astrophysics · Physics 2022-02-23 A. Asensio Ramos , C. Diaz Baso , O. Kochukhov

Correlated systems at both zero and nonzero temperature are treated here from a novel angle using a functional method. This functional method is an extension of the usual effective potential method. Here, however the effective action is…

Condensed Matter · Physics 2007-05-23 A. Rebei , W. N. G. Hitchon

This work investigates the two-dimensional thermal behavior of a bilayer medium subject to both internal and external heat sources. The model incorporates diffusion, advection, and temperature-dependent volumetric heat generation or…

Fluid Dynamics · Physics 2025-11-12 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia