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On the determination of particle impact breakage in selection function

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Particuology 2022年第6期20卷 117-132页

作者： Li ge wang Ruihuan ge Xizhong Chen Process Systems Enterprise HammersmithLondonUK Department of Chemical and Biological Engineering University of SheffieldUK Process and Chemical Engineering School of EngineeringUniversity College CorkIreland

This paper presents a thorough study of particle impact breakage in selection function with a unified breakage *** impact mode and breakage pattern for particulate materials are classified based on a significant review of well-established impact *** was found that the lack of a unified breakage criterion to determine the breakage probability disables a direct comparison of particle breakage propensity from different impact loading *** literature breakage models to describe the breakage probability are reviewed where the advantage and drawback of these models are *** sourced literature breakage models are compared with the zeolite breakage datasets in a unified breakage criterion to evaluate the model performance.A novel computational modelling workflow for a milling process is proposed to provide a guidance in implementing the digital twin in milling process *** breakage probability models,*** selection functions are comprehensively assessed in population balance model to examine the model *** model simplicity and fidelity in the model assessment are specifically discussed and the value of digital twin in substantially reducing the experimental trials is highlighted.

关键词： Impact breakage Breakage criteria Breakage model assessment Selection function Population balance model Digital twin

Positive definiteness of fourth-order partially symmetric tensors

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Applied Mathematics(A Journal of Chinese Universities) 2023年第4期38卷 581-590页

作者： wang Hua-ge School of Mathematics and Information Science Henan Normal UniversityXinxiang 453007China Engineering Technology Research Center of Neurosense and Control of Henan Province Xinxiang Medical UniversityXinxiang 453003China

In this paper,we consider the positive definiteness of fourth-order partially symmetric ***,two analytically sufficient and necessary conditions of positive definiteness are provided for fourth-order two dimensional partially symmetric ***,we obtain several sufficient conditions for rank-one positive definiteness of fourth-order three dimensional partially symmetric tensors.

关键词： partially symmetric tensor positive de niteness rank-one positive de nite

BIOLUMINESCENCE TOMOGRAPHY:BIOMEDICAL BACKGROUND,MATHEMATICAL THEORY,AND NUMERICAL APPROXIMATION

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Journal of Computational Mathematics 2008年第3期26卷 324-335页

作者： Weimin Han ge wang Department of Mathematics University of Iowa Iowa City IA 52242 USA Division of Biomedical Imaging Virginia Tech-Wake Forest University School of Biomedical Engineering and Sciences Virginia Polytechnic Institute and State University Blacksburg Virginia 24061 USA

Over the last couple of years molecular imaging has been rapidly developed to study physiological and pathological processes in vivo at the cellular and molecular levels. Among molecular imaging modalities, optical imaging stands out for its unique advantages, especially performance and cost-effectiveness. Bioluminescence tomography （BLT） is an emerging optical imaging mode with promising biomedical advantages. In this survey paper, we explain the biomedical significance of BLT, summarize theoretical results on the analysis and numerical solution of a diffusion based BLT model, and comment on a few extensions for the study of BLT.

关键词： Biomedical imaging Bioluminescence tomography (BLT) Inverse problem,Regularization Numerical approximation Error analysis

general Frequency-Intensity Cooperation in Stable Multimode Lasers

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Chinese Physics Letters 1999年第7期16卷 510-512页

作者： wang Kai-ge Department of Physics Beijing Normal UniversityBeijing 100875

In a homogeneously broadened laser models we find a simple and general law for stable multimode operatioiij which shows a nonlinear cooperative relationship between the frequencies and intensities of laser modes.

关键词： laser Lasers Intensity

Approximate Scaling Behaviour of Local Spectral Density of States at Relatively Weak Perturbation: a Schematic Shell Model

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Chinese Physics Letters 2001年第6期18卷 731-733页

作者： wang Wen-ge Department of Physics South-east UniversityNanjing 210096 International Center for the Study of Dynamical Systems 22100 ComoItaly Centre for Nonlinear StudiesHong Kong Baptist UniversityHong KongChina

For a schematic shell model,we show numerically that,contrary to the behaviour of eigenfunctions,the shapes of the so-called local spectral density of states become close to their forms at extremely strong perturbation(after rescaling)even when the perturbation is relatively *** same phenomenon is also found for the random version of the schematic shell *** suggest that this property of the local spectral density of states may be common to models in which the Hamiltonian matrices in independent particle states have a banded and regular structure.

关键词： structure perturbation states

A Renormalized-Hamiltonian-Flow Approach to Eigenenergies and Eigenfunctions

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Communications in Theoretical Physics 2019年第7期71卷 861-868页

作者： Wen-ge wang Department of Modern Physics University of Science and Technology of China

We introduce a decimation scheme of constructing renormalized Hamiltonian flows,which is useful in the study of properties of energy eigenfunctions,such as localization,as well as in approximate calculation of *** method is based on a generalized Brillouin-Wigner perturbation *** flow is specific for a given energy and,at each step of the flow,a finite subspace of the Hilbert space is decimated in order to obtain a renormalized Hamiltonian for the next *** of the original Hamiltonian appear as unstable fixed points of renormalized *** illustration of the method is given in the Wigner-band random-matrix model.

关键词： generalized Brillouin-Wigner perturbation theory Hamiltonian flow eigenfunction structure eigenvalue

Numerical study on shock-accelerated heavy gas cylinderswith diffusive interfaces

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Acta Mechanica Sinica 2019年第4期35卷 750-762页

作者： Dongdong Li Ben Guan ge wang College of Aerospace and Civil Engineering Harbin Engineering University Harbin 150001 China

Interactions of shock wave and heavy gas cylinders with different diffusive interfaces are numerically investigated. Comparisons among these interfaces are made in terms of cylinder morphology, wave system evolution, fluids mixing, and circulation generation. Navier-Stokes equations are solved in the present work to simulate the complex multi-fluid flow. The fifth-order weighted essentially non-oscillatory scheme is used to compute the numerical flux. The influence of interface diffusion is revealed by the numerical results. The cylinders with similar geometric scale but different diffusion interface have great similarities in the hydrodynamic characteristics, including the interface morphology, shock focusing and molecular mixing, as well as circulation deposition. For the cases with more serious interface diffusion, the cylinder develops into more regular vortex pairs. The diffusive interface greatly mitigates the strength of the reflected shock wave and weakens the shock focusing capability. Some interface structural features are also recorded and analyzed. The diffusive interface brings about slower molecular mixing and less circulation generation. The circulation deposition on different interfaces is quantitatively investigated and compared with the theoretical models. The theoretical models are found to be applicable to the scenarios of diffusive interfaces.

关键词： Shock bubble interaction Interfacial instability Diffusive interface Circulation model

Steady-state relation of a two-level system strongly coupled to a many-body quantum chaotic environment

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Communications in Theoretical Physics 2023年第2期75卷 56-59页

作者： Hua Yan Jiaozi wang Wen-ge wang Department of Modern Physics University of Science and Technology of ChinaHefei 230026China CAS Key Laboratory of Microscale Magnetic Resonance University of Science and Technology of ChinaHefei 230026China Department of Physics University of OsnabrückD-49076 OsnabrückGermany

We study the long-time average of the reduced density matrix(RDM)of a two-level system as the central system,which is locally coupled to a many-body quantum chaotic system as the environment,under an overall Schr?dinger evolution.A phenomenological relation among elements of the RDM is proposed for a dissipative interaction in the strong coupling regime and is tested numerically with the environment as a defect Ising chain,as well as a mixed-field Ising chain.

关键词： steady-state relations eigenstate thermalization hypothesis quantum chaos two-level system

Superiority of quadratic over conventional neural networks for classification of gaussian mixture data

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Visual Computing for Industry,Biomedicine,and Art 2022年第1期5卷 279-289页

作者： Tianrui Qi ge wang Department of Computer Science Rensselaer Polytechnic InstituteNY 12180TroyUSA

To enrich the diversity of artificial neurons,a type of quadratic neurons was proposed previously,where the inner product of inputs and weights is replaced by a quadratic *** this paper,we demonstrate the superiority of such quadratic neurons over conventional *** this purpose,we train such quadratic neural networks using an adapted backpropagation algorithm and perform a systematic comparison between quadratic and conventional neural networks for classificaiton of Gaussian mixture data,which is one of the most important machine learning *** results show that quadratic neural networks enjoy remarkably better efficacy and efficiency than conventional neural networks in this context,and potentially extendable to other relevant applications.

关键词： Artificial neural networks Quadratic neurons Quadratic neural networks Backpropagation Classification Gaussian mixture models