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Anti-parity-time symmetric phase transition in diffusive systems

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Chinese Physics B 2021年第3期30卷 9-16页

作者： Pei-Chao Cao xue-Feng zhu School of Physics and Innovation Institute Huazhong University of Science and TechnologyWuhan 430074China

Parity-time (PT) symmetry/anti-parity-time (APT) symmetry in non-Hermitian systems reveal profound physics andspawn intriguing effects. Recently, it has been introduced into diffusive systems together with the concept of exceptionalpoints (EPs) from quantum mechanics and the wave systems. With the aid of convection, we can generate complex thermalconductivity and imitate various wavelike dynamics in heat transfer, where heat flow can be “stopped” or moving against thebackground motion. Non-Hermitian diffusive systems offer us a new platform to investigate the heat wave *** this review, we first introduce the construction of APT symmetry in a simple double-channel toy model. Then we showthe phase transition around the EP. Finally, we extend the double-channel model to the four-channel one for showing thehigh-order EP and the associated phase transition. In a general conclusion, the phase difference of adjacent channels isalways static in the APT symmetric phase, while it dynamically evolves or oscillates when the APT symmetry is broken.

关键词： anti-parity-time symmetry phase transition exceptional point heat transfer

Viability Property of Jump Diffusion Processes on Manifolds

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Acta Mathematicae Applicatae Sinica 2016年第2期32卷 349-354页

作者： xue-hong zhu Guang-zu LIU School of Science Nanjing University of Aeronautics and Astronautics School of Electronic and Optical Engineering Nanjing University of Science and Technology

In this note, we give a necessary and sufficient condition for viability property of diffusion processes with jumps on closed submanifolds of Rm. Our result is the system is viable in a closed submanifold K iff the coefficients are tangent to K along K if the equation is in the sense of stratonovich integral and the solution jumps from K to K.

关键词： viability property viscosity solution manifold

Comparison of Grain Size in Plain Carbon Hot-Rolled Sheets Manufactured by CSP and Conventional Rolling Processing

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Journal of Iron and Steel Research International 2012年第1期19卷 17-22页

作者： zhu xue-song zhu Guo-hui MAO Wei-min School of Materials Science and Engineering University of Science and Technology Beijing Beijing 100083 China School of Materials Science and Engineering Anhui University of Technology Ma＇anshan 243002 Anhui China

Average grain size and grain size distribution in as hot-rolled SPHC, SPHD, and SPHE sheets manufac- tured by compact strip production （CSP） processing and traditional continuous casting and rolling （CCR） processing respectively were investigated by quantitative metallographic method. The results show that the average grain size and distribution width of grain size in sheets manufactured by CSP processing was obviously larger than that by CCR processing. It was analyzed that multi-phase transformation and high reduction ratio in CCR processing resulted in refining grain size, which would be dominant reason for controlling grain size. In plain carbon steels such as SPHC, SPHD and SPHE, the effect of fine precipitation in CSP on behavior of deformation and recrystallization of austenite during roiling, and consequent refinement of grain size seem not to be as important as the effect of reheating and roughing in CCR processing. Homogenizing in reheating and refining grain size in roughing in CCR processing would refine final grain size and also make grain size homogenized, Very coarse grain size would result in mixed grain size, large distribution width of grain size due to interaction of static and dynamic recrystallization in CSP processing

关键词： CSP CCR hot-rolled plate grain size

The Viability Property of Controlled Jump Diffusion Processes

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Acta Mathematica Sinica,English Series 2008年第8期24卷 1351-1368页

作者： Shi Ge PENG xue Hong zhu Institute of Mathematics Shandong University Ji'nan 250100 P. R. China School of Science Nanjing University of Aeronautics and Astronautics Nanjing 210016 P. R. China

In this paper, we first give a comparison theorem of viscosity solution to some nonlinear second order integrodifferential equation. And then using the comparison theorem, we obtain a necessary and sufficient condition for the viability property of some controlled jump diffusion processes which can keep the solution within a constraint K.

关键词： viability integrodifferential equation viscosity solution

Numerical study on the strain capacity of girth-welded X80 grade pipes

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Petroleum Science 2022年第5期19卷 2399-2412页

作者： Xu Wang Jian Shuai Sheng-zhu Zhang Wei Ren xue-Ming zhu College of Safety and Ocean Engineering China University of PetroleumBeijing102249China Department of Structural Engineering Norwegian University of Science and Technology(NTNU)Trondheim7491Norway China Academy of Safety Science and Technology Beijing100012China

Strain capacity is an important performance indicator for designing and evaluating high-grade steel *** to the inhomogeneity of material properties in welded structures,girth welds are one of the main factors that restrict the strain capacity of *** this paper,girth-welded pipes with cracks in the inner surface of the weld have been studied,and the ductile crack initiation and propagation behavior have been simulated using the Gurson *** corresponding nominal strain at the onset of crack initiation was defined as the characteristic value of strain *** influencing factors on the strain concentration area,strain concentration factor,and strain capacity of girth-welded pipes were quantitatively analyzed.A semiempirical calculation formula for the strain capacity of typical girthwelded X80 grade pipes has been proposed as a function of the crack size,mismatch coefficient of the weld,and softening degree of the heat affected zone(HAZ).This study can facilitate the defect assessment of girth-welded pipes.

关键词： Strain capacity Girth-welded X80 grade pipes Mismatch and softening

Clinical characteristics on manifestation and gene mutation of a transient neonatal cyanosis: A case report

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World Journal of Clinical Cases 2020年第1期8卷 217-221页

作者： Jing Yuan xue-Ping zhu Department of Neonatology Children’s Hospital of Soochow University

BACKGROUND We analyzed the main features of an infant diagnosed with temporary neonatal cyanosis in order to strengthen our understanding of the *** SUMMARY We report a patient diagnosed with temporary neonatal *** main clinical characteristics,gene mutation and treatment are discussed and a review of related literature was *** neonate aged 1 d and 5 h was admitted to hospital due to cyanosis after *** main clinical manifestation was cyanosis,which was not improved by auxiliary ventilation and the patient showed no obvious shortness of breath or *** mutation analysis showed a heterozygous c.190C>T mutation in the HBG2 gene associated with transient neonatal cyanosis,which was derived from his *** supportive treatment was given for 2 *** neonate was discharged and gradually improved with oral administration of vitamin C and vitamin B2 for 2 *** There is no special treatment for temporary neonatal cyanosis caused by heterozygous mutation of the HBG2 gene.

关键词： Temporary neonatal cyanosis HBG2 Genetic mutation Methemoglobinemia Cyanosis Case report

Synthesis and characterization of macrocyclic compounds with a hydroxyl functional group

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Chinese Chemical Letters 2013年第10期24卷 869-872页

作者： Min Ou Chun zhu Qi-Long Zhang Bi-xue zhu Key Laboratory of Macrocyclic and Supramolecular Chemistry Guizhou University Department of Chemistry Guiyang Medical College

A novel [1＋1] Schiff-base macrocyclic compound 3 has been synthesized from precursor 1, 1,3-bis（2＇- formylphenoxy）-2-propanol, and precursor 2, resorcinol-bis（4-aminophenyl）ether, via condensation and cyclizaction using Ba2＋ as template. The macrocycle 3 was further reduced giving saturated macrocycle 4. The structures of 3 and 4 were characterized by elemental analysis, ~H NMR, IR, and MS spectra, and their structures were determined via single crystal X-ray diffraction studies. X-ray diffraction analysis revealed that the macrocyclic compound 3 has a folded conformation, and the corresponding reduced product 4 adopts a twisted and folded conformation due to its flexible nature. ~ 2013 Bi-xue zhu. Published by Elsevier B.V. on behalf of Chinese Chemical Society. All rights reserved.

关键词： Schiff base Macrocyclic compound Synthesis Structure

Mapping the Information Trace in Local Field Potentials by a Computational Method of Two-Dimensional Time-Shifting Synchronization Likelihood Based on Graphic Processing Unit Acceleration

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Neuroscience Bulletin 2017年第6期33卷 653-663页

作者： Zi-Fang Zhao xue-zhu Li You Wan Neuroscience Research Institute Peking UniversityBeijing 100191China Department of Neurobiology School of Basic Medical SciencesPeking UniversityBeijing 100191China Key Laboratory for Neuroscience Ministry of Education/National Health and Family Planning CommissionPeking UniversityBeijing 100191China

The local field potential（LFP） is a signal reflecting the electrical activity of neurons surrounding the electrode tip. Synchronization between LFP signals provides important details about how neural networks are organized. Synchronization between two distant brain regions is hard to detect using linear synchronization algorithms like correlation and coherence. Synchronization likelihood（SL） is a non-linear synchronization-detecting algorithm widely used in studies of neural signals from two distant brain areas. One drawback of non-linear algorithms is the heavy computational burden. In the present study, we proposed a graphic processing unit（GPU）-accelerated implementation of an SL algorithm with optional 2-dimensional time-shifting. We tested the algorithm with both artificial data and raw LFP data. The results showed that this method revealed detailed information from original data with the synchronization values of two temporal axes,delay time and onset time, and thus can be used to reconstruct the temporal structure of a neural network. Our results suggest that this GPU-accelerated method can be extended to other algorithms for processing time-series signals（like EEG and f MRI） using similar recording techniques.

关键词： Local field potential Synchronization Temporal Time-shifting Parallel computing

Syntheses and Crystal Structures of Sm(OAr)+2(THF)+3·THF and Sm(OAr)_2(DME)_2 (Ar =C_6H_2-tert-Bu_3-2,4,6)

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Chinese Journal of Structural Chemistry 2005年第10期24卷 1152-1156页

作者： YUAN Fu-Gen zhu xue-Hua WENG Lin-Hong Department of Chemistry University of Science and Technology ofSuzhou Suzhou 215009 China Department of Chemistry Fudan University Shanghai 200433 China

Reaction of SmI2（THF）x with 2 equivalents of NaOAr （Ar = C6H2-tert-Bu3-2,4,6） in THF affords a divalent complex of Sm（OAr）2（THF）yTHF 1 in 90.8% yield. Treatment of 1 with 1,2-dimethoxyethane （DME） leads to the ligand-exchange reaction, and a DME-solvated complex of Sm（OAr）2（DME）2 2 was obtained. Complex 1 crystallizes in monoclinic, space group P21/c with a = 10.366（5）, b = 33.024（15）, c = 16.123（7） A, β = 93.197（8）°, V = 5511 （4） A^3, Z = 4, C52H90O6Sm, Mr = 961.59, Dc = 1.159 g/cm^3, F（000） = 2048,μ（MoKα） = 1.107 mm^-1, R = 0.0844 and wR = 0.1401 for 4694 observed reflections. Complex 2 crystallizes in monoclinic, space group C2/c with a = 27.222（5）, b = 10.6140（19）, c = 17.398（4） A, β = 110.245（3）°, V = 4716.4（16） A^3, Z = 4, C44H78O6Sm, Mr = 853.41, Dc = 1.202 g/cm^3, F（000） = 1808,μ（MoKα） = 1.285 mm^-1, R = 0.0361 and wR = 0.0830 for 5210 observed reflections.

关键词： divalent samarium aryloxide azobenzene