Simulation of emission spectra of transition-metal dichalcogenide monolayers with the multimode Brownian oscillator model

The multimode Brownian oscillator model is employed to simulate the emission spectra of transition metal dichalcogenide monolayers. Good agreement is obtained between measured and simulated photoluminescence spectra of WSe2, WS2, MoSe2 and MoS2 at various temperatures. The Huang-Rhys factor extracted from the model can be associated with that from the modified semi-empirical Varshni equation at high temperatures. Individual mechanisms leading to the unique temperature-dependent emission spectra of those TMDs are validated by the MBO fitting, while it is in turn confirmed that the MBO analysis is an effective method for studying the optical properties of TMD monolayers. Parameters extractd from the MBO fitting can be used to explore exciton-photon-phonon dynamics of TMDs in a more comprehensive model

In-Domain Control of Partial Differential Equations

RÉSUMÉ Cette thèse porte sur la commande des systèmes à dimension infinie décrit par les équa-tions aux dérivées partielles (EDP). La commande d’EDP peut être divisée approximative-ment en deux catégories en fonction de l’emplacement des actionneurs: la commande à la frontière, où les actionnements sont appliqués à la frontière des systèmes d’EDP, et la com-mande dans le domaine, où les actionneurs pénètrent à l’intérieur du domaine des systèmes d’EDP. Dans cette thèse, nous étudierons la commande dans le domaine de l’équation d’Euler-Bernoulli, de l’équation de Fisher, l’équation de Chafee-Infante et de l’équation de Burgers. L’équation d’Euler-Bernoulli est un modèle classique d’EDP linéaire décrivant la flexion pure des structures flexibles. L’équation de Fisher et l’équation de Chafee-Infante sont des EDP paraboliques semi-linéaires, qui peuvent être utilisées pour modéliser certains phénomènes physiques, chimiques ou biologiques. L’équation de Burgers peut être considérée comme une simplification d’équations de Navier-Stokes en mécanique des fluides, en dynamique des gaz, en fluidité de la circulation, etc. Ces systèmes jouent des rôles très importants en mathéma-tiques, en physique et dans d’autres domaines. Dans cette thèse, de nouvelles méthodes qui se basent sur la dynamique des zéros et le compensateur dynamique ont été développées pour la conception et l’implémentation de lois de commande pour la commande des EDP avec des actionnements dans le domaine. Tout d’abord, nous étudions le contrôle de l’équation d’Euler-Bernoulli avec plusieurs actionneurs internes. L’inverse de la dynamique des zéros a été utilisé dans la conception de la loi de commande, ce qui permet de suivre la trajectoire prescrit souhaitée. Afin de concevoir la trajectoire souhaitée, la fonction de Green est utilisée pour déterminer la commande sta-tique. La planification de mouvement est générée par des contrôleurs dynamiques basés sur la méthode de platitude di˙érentielle. Pour les équations paraboliques non linéaires, la dy-namique des zéros est régie par une EDP non linéaire. Par conséquent, nous avons recours à la méthode de décomposition d’Adomian (ADM) pour générer la commande dynamique afin de suivre les références désirées. Dans le cas de l’équation de Burgers, un compensateur dynamique a été utilisé. Pour obtenir la stabilité globale de l’équation de Burgers contrôlée, une rétroaction non linéaire a été appliquée à la frontière. La méthode d’ADM et la platitude ont été utilisées dans l’implémentation du compensateur dynamique.----------ABSTRACT This thesis addresses in-domain control of partial di˙erential equation (PDE) systems. PDE control can in general be classified into two categories according to the location of the ac-tuators: boundary control, where the actuators are assigned to the boundary of the PDE systems, and in-domain control, where the actuation penetrates inside the domain of the PDE systems. This thesis investigates the in-domain control of some well-known PDEs, including the Euler-Bernoulli equation, the Fisher’s equation, the Chafee-Infante equation, and Burgers’ equation. Euler-Bernoulli equation is a classical linear PDE used to describe the pure bending of flexible structures. Fisher’s equation and the Chafee-Infante equation are semi-linear parabolic PDEs that can be used to model physical, chemical, and biolog-ical phenomena. Burgers’ equation can be viewed as simplified Navier-Stokes equations in lower dimensions in applied mathematics, and it has been widely adopted in fluid mechan-ics, gas dynamics, traÿc flow modeling, etc. These PDE systems play important roles in mathematics, physics, and other fields. In this work, in-domain control of linear and semi-linear parabolic equations are treated based on dynamic compensators. First, we consider the in-domain control of an Euler-Bernoulli equation with multiple internal actuators. The method of zero dynamics inverse is adopted to derive the in-domain control to allow an asymptotic tracking of the prescribed desired outputs. A linear proportional boundary feedback control is employed to stabilize the Euler-Bernoulli equation around its zero dynamics. To design the desired trajectory, the Green’s function is employed to determine the static control, and then motion planning is generated by dynamic control based on di˙erential flatness. For the semi-linear parabolic equations, zero dynamics are governed by nonlinear PDEs. Therefore, the implementation of the in-domain control of linear PDEs cannot be directly applied. We resort then to the Adomian decomposition method (ADM) to implement the dynamic control in order to track the desired set-points. Finally, the in-domain control of a Burgers’ equation is addressed based on dynamic compensator. A nonlinear boundary feedback control is used to achieve the global stability of the controlled Burgers’ equation, and the ADM as well as the flatness are used in the implementation of the proposed in-domain control scheme

Multifocal micronodular pneumocyte hyperplasia with a novel mutation in TSC1: a case report

We report on a 34-year-old woman diagnosed with tuberous sclerosis complex. The patient was admitted for respiratory manifestations, while multi-organ involvement made the diagnostic process challenging. Genetic testing revealed a novel mutation TSC1 c.2094_2110del (p.His699Ter), which expands the disease-causing variant spectrum. Our results may facilitate the disease diagnostics and help to devise genetic counseling and targeted gene therapy

Exciton Dynamics and Time-Resolved Fluorescence in Nanocavity-Integrated Monolayers of Transition-Metal Dichalcogenides

We have developed an ab-initio-based fully-quantum numerically-accurate methodology for the simulation of the exciton dynamics and time- and frequency-resolved fluorescence spectra of the cavity-controlled two-dimensional materials at finite temperature and applied this methodology to the single-layer WSe2 system. This allowed us to establish dynamical and spectroscopic signatures of the polaronic and polaritonic effects as well as uncover their characteristic timescales in the relevant range of temperatures

Knee loading inhibits osteoclast lineage in a mouse model of osteoarthritis

Osteoarthritis (OA) is a whole joint disorder that involves cartilage degradation and periarticular bone response. Changes of cartilage and subchondral bone are associated with development and activity of osteoclasts from subchondral bone. Knee loading promotes bone formation, but its effects on OA have not been well investigated. Here, we hypothesized that knee loading regulates subchondral bone remodeling by suppressing osteoclast development, and prevents degradation of cartilage through crosstalk of bone-cartilage in osteoarthritic mice. Surgery-induced mouse model of OA was used. Two weeks application of daily dynamic knee loading significantly reduced OARSI scores and CC/TAC (calcified cartilage to total articular cartilage), but increased SBP (subchondral bone plate) and B.Ar/T.Ar (trabecular bone area to total tissue area). Bone resorption of osteoclasts from subchondral bone and the differentiation of osteoclasts from bone marrow-derived cells were completely suppressed by knee loading. The osteoclast activity was positively correlated with OARSI scores and negatively correlated with SBP and B.Ar/T.Ar. Furthermore, knee loading exerted protective effects by suppressing osteoclastogenesis through Wnt signaling. Overall, osteoclast lineage is the hyper responsiveness of knee loading in osteoarthritic mice. Mechanical stimulation prevents OA-induced cartilage degeneration through crosstalk with subchondral bone. Knee loading might be a new potential therapy for osteoarthritis patients

A DAQM-Based Load Balancing Scheme for High Performance Computing Platforms

This paper addresses the load balancing problem, which is one of the key issues in high-performance computing (HPC) platforms. A novel method, called decentralized active queue management (DAQM), is proposed to provide a fair task distribution in a heterogeneous computing environment for HPC platforms. An implementation of the DAQM is presented, which consists of an ON-OFF queue control and a utility maximization-based coordination scheme. The stability of the queue control scheme and the convergence of the algorithm for utility maximization have been assessed by rigorous analysis. To demonstrate the performance of the developed queueing control system, numerical simulations are carried out and the obtained results confirm the efficiency and viability of the developed scheme

Striking Isotopologue-Dependent Photodissociation Dynamics of Water Molecules:The Signature of an Accidental Resonance

Investigations of the photofragmentation patterns of both light and heavy water at the state-to-state level are a prerequisite for any thorough understanding of chemical processing and isotope heterogeneity in the interstellar medium. Here we reveal dynamical features of the dissociation of water molecules following excitation to the (C) over tilde (010) state using a tunable vacuum ultraviolet source in combination with the high-resolution H(D)-atom Rydberg tagging time-of-flight technique. The action spectra for forming H(D) atoms and the OH(OD) product state distributions resulting from excitation to the (C) over tilde (010) states of H2O and D2O both show striking differences, which are attributable to the effects of an isotopologue-specific accidental resonance. Such accidental-resonance-induced state mixing may contribute to the D/H isotope heterogeneity in the solar system. The present study provides an excellent example of competitive state-to-state nonadiabatic decay pathways involving at least five electronic states