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In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well-posedness of this inverse problem by reducing the…

Analysis of PDEs · Mathematics 2023-06-09 Daurenbek Serikbaev , Michael Ruzhansky , Niyaz Tokmagambetov

We show that, in general, any complex weakly nonlinear highly multimode system can reach thermodynamic equilibrium that is characterized by a unique temperature and chemical potential. The conditions leading to either positive or negative…

This paper introduces a multi-frequency factorization method for imaging a time-dependent source, specifically to recover its spatial support and the associated excitation instants. Using far-field data from two opposite directions, we…

Numerical Analysis · Mathematics 2026-04-28 Guanqiu Ma , Hongxia Guo , Guanghui Hu

This paper concerns time-harmonic inverse source problems with a single far-field pattern in two dimensions, where the source term is compactly supported in an a priori given inhomogeneous background medium. For convex-polygonal source…

Analysis of PDEs · Mathematics 2020-03-13 Guanghui Hu , Jingzhi Li

Intracavity squeezing is a promising technique that may improve the sensitivity of gravitational wave detectors and cool optomechanical oscillators to the ground state. However, the photothermal effect may modify the occurrence of…

Quantum Physics · Physics 2022-11-07 Sotatsu Otabe , Kentaro Komori , Ken-ichi Harada , Kaido Suzuki , Yuta Michimura , Kentaro Somiya

The problem of holographic thermalization in the framework of Einstein gravity coupled to Born-Infeld nonlinear electrodynamics is investigated. We use equal time two-point correlation functions and expectation values of Wilson loop…

High Energy Physics - Theory · Physics 2015-02-24 Giancarlo Camilo , Bertha Cuadros-Melgar , Elcio Abdalla

In this paper, a new inverse identification method is developed from full kinematic and thermal field measurements. It consists in reconstructing the heat source from two approaches, a first one that requires the measurement of the…

Classical Physics · Physics 2019-07-08 S. Charlès , Jean-Benoit Le Cam

The zero temperature core-level photoemission spectrum is studied across the metal to Mott insulator transition using dynamical mean-field theory and Wilson's numerical renormalization group. An asymmetric power-law divergence is obtained…

Strongly Correlated Electrons · Physics 2007-05-23 P. S. Cornaglia , A. Georges

In this paper we analyze the thermodynamic properties of a photon gas under the influence of a background electromagnetic field in the context of any nonlinear electrodynamics. Neglecting the self-interaction of photons, we obtain a general…

High Energy Physics - Phenomenology · Physics 2015-06-17 P. Niau Akmansoy , L. G. Medeiros

Thermodynamics is accepted as a universal truth, encompassing all macroscopic objects. Therefore, it is surprising to find that, within our current understanding, the photovoltaic effect has so far eluded the first and second laws of…

Statistical Mechanics · Physics 2020-12-22 Ido Frenkel , Avi Niv

This paper addresses a factorization method for imaging the support of a wave-number-dependent source function from multi-frequency data measured at a finite pair of symmetric receivers in opposite directions. The source function is given…

Numerical Analysis · Mathematics 2024-01-17 Hongxia Guo , Guanghui Hu , Guanqiu Ma

Inverse problems of recovering heat transfer coefficient from integral measurements are considered. The heat transfer coefficient occurs in the transmission conditions of imperfect contact type or the Robin type boundary conditions. It is…

Analysis of PDEs · Mathematics 2024-01-04 Sergey Grigorievich Pyatkov

An entangled photon experiment has been performed with a large variation of the temperature of the non-linear crystal generating the entangled pair by spontaneous downconversion. The photon pairs are separated by a nonpolarizing…

Quantum Physics · Physics 2019-09-04 Joakim Bergli , Guillaume Adenier , Andreas P. Thörn , Arnt Inge Vistnes

We discuss the inverse uniqueness problem in phaseless scattering by counting the zeros of its modulus of the scattering amplitude. The phase linearization of scattered wave field disturbs the originally uniform distribution of the zero…

Spectral Theory · Mathematics 2016-06-06 Lung-Hui Chen

This paper is concerned with uniqueness, phase retrieval and shape reconstruction methods for inverse elastic scattering problems with phaseless far field data. Systematically, we study two basic models, i.e., inverse scattering of plane…

Analysis of PDEs · Mathematics 2020-01-08 Xia Ji , Xiaodong Liu

This paper is concerned with the uniqueness in inverse acoustic scattering problems with the modulus of the far-field patterns co-produced by the obstacle (resp. medium) and the point sources. Based on the superposition of point sources as…

Analysis of PDEs · Mathematics 2020-01-08 Fenglin Sun , Deyue Zhang , Yukun Guo

Thermal (or pseudo-thermal) radiation has been recently proposed for imaging and interference types of experiments to simulate entangled states. We report an experimental study on the momentum correlation properties of a pseudo-thermal…

Quantum Physics · Physics 2009-11-10 Giuliano Scarcelli , Alejandra Valencia , Yanhua Shih

This article presents a theoretical analysis of a one-dimensional heat transfer problem in two layers involving diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, and heat generation due…

Fluid Dynamics · Physics 2024-10-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

Calculations of the heat flux carried by plasma to the wall of a magnetic fusion machine often assume that power flows only along the field lines, but this cannot be true in general. Instead, we treat the plasma as an anisotropic non-linear…

Plasma Physics · Physics 2017-02-07 M Kovari

Strong coupling between plasmons and excitons gives rise to new hybrid polariton states with various fields of potential applications. Despite a plethora of research on plasmon--exciton systems, their transient behaviour is not yet fully…

Optics · Physics 2023-06-13 Felix Stete , Matias Bargheer , Wouter Koopman