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Effects of sawtooth heat pulses on edge flows and turbulence in a tokamak plasma
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作者 赵开君 Yoshihiko NAGASHIMA +22 位作者 郭志彬 Patrick H DIAMOND 董家齐 严龙文 Kimitaka ITOH Sanae-I ITOH 李晓博 李继全 Akihide FUJISAWA Shigeru INAGAKI 程钧 许健强 Yusuke KOSUGA Makoto SASAKI 王正汹 张怀强 陈俞钱 曹小岗 余德良 刘仪 宋显明 夏凡 王硕 《Plasma Science and Technology》 SCIE EI CAS CSCD 2023年第1期1-9,共9页
Enhancements of edge zonal flows,radial electric fields,and turbulence are observed in electron cyclotron resonance heating-heated plasmas(Zhao et al 2013 Nucl.Fusion 53083011).In this paper,the effects of sawtooth he... Enhancements of edge zonal flows,radial electric fields,and turbulence are observed in electron cyclotron resonance heating-heated plasmas(Zhao et al 2013 Nucl.Fusion 53083011).In this paper,the effects of sawtooth heat pulses on flows and turbulence are presented.These experiments are performed using multiple Langmuir probe arrays in the edge plasmas of the HL-2A tokamak.The edge zonal flows,radial electric fields,and turbulence are all enhanced by sawteeth.Propagation of the zonal flow and turbulence intensities is also observed.The delay time of the maximal intensity of the electric fields,zonal flows,and turbulence with respect to the sawtooth crashes is estimated as~1 ms and comparable to that of the sawtooth-triggered intermediate phases.Not only the zonal flows but also the radial electric fields lag behind the turbulence.Furthermore,the intensities of both the zonal flows and electric fields nearly linearly increase/decrease with the increase/decrease of the turbulence intensity.A double-source predator-prey model analysis suggests that a relatively strong turbulence source may contribute to the dominant zonal flow formation during sawtooth cycles. 展开更多
关键词 TOKAMAK Langmuir probe arrays edge flows and turbulence sawtooth heat pulses
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Influence of Perpendicular Magnetic Field on Apparent Density and Microstructure of Magnetic Fluid 被引量:6
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作者 李艳琴 李学慧 《Chinese Physics Letters》 SCIE CAS CSCD 2012年第10期204-208,共5页
The formula for a magnetic fluid's apparent density is derived based on Bernoulli's equation of magnetic fluid,and the distribution of the magnetic fluid's apparent density is measured by the intelligent a... The formula for a magnetic fluid's apparent density is derived based on Bernoulli's equation of magnetic fluid,and the distribution of the magnetic fluid's apparent density is measured by the intelligent apparatus of measuring a magnetic fluid's apparent density in an applied perpendicular magnetic field.Magnetic particle chain-like alignments are observed by a transmission electron microscope(TEM).Without an applied magnetic field,the magnetic fluid's density is equal everywhere and the distribution of magnetic particles is homogeneous and unordered.When magnetic induction and magnetic induction gradient gather strength in an applied perpendicular magnetic field,the magnetic fluid's apparent density increases gradually,and more chain-like structures are formed and aligned with the direction of the magnetic field.The results of magnetic particle alignments are correspondent with the distribution of the magnetic fluid's apparent density.Both of them result from particle-particle interactions and particle-carrier liquid interactions,which are eventually controlled by the applied magnetic induction and magnetic induction gradient distribution. 展开更多
关键词 MICROSTRUCTURE APPARENT MAGNETIC
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Sudden Transition between Quantum Correlation and Classical Correlation: the Effect of Interaction between Subsystems 被引量:2
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作者 闫俊彦 王林成 衣学喜 《Chinese Physics Letters》 SCIE CAS CSCD 2011年第6期32-35,共4页
We study the quantum discord dynamics of a bipartite composite system in the presence of a dissipative environment and investigate the effect of the interaction between the two subsystems.The results show that the int... We study the quantum discord dynamics of a bipartite composite system in the presence of a dissipative environment and investigate the effect of the interaction between the two subsystems.The results show that the interaction can influence the sudden transition between the quantum correlation and the classical correlation and for the maximally mixed marginals initial states,the sudden transition regime will always exist.The entanglements are also discussed in comparison to the quantum discord in describing the quantum correlations. 展开更多
关键词 QUANTUM TRANSITION INTERACTION
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Deposition and properties of highly c-oriented of InN films on sapphire substrates with ECR-plasma-enhanced MOCVD 被引量:2
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作者 Qin, Fuwen Zhang, Dong +5 位作者 Bai, Yizhen Ju, Zhenhe Li, Shuangmei Li, Yucai Pang, Jiaqi Bian, Jiming 《Rare Metals》 SCIE EI CAS CSCD 2012年第2期150-153,共4页
关键词 InN films ECR-PEMOCVD sapphire substrates semiconductor devices
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Preparation and Characteristics of GaN Films on Freestanding CVD Thick Diamond Films 被引量:1
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作者 张东 白亦真 +5 位作者 秦福文 边继明 贾福超 吴占玲 赵纪军 姜辛 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第1期260-263,共4页
比较喜欢面向、精细多晶轧了电影被血浆准备提高的金属独立厚钻石电影的成核表面上的器官的化学蒸汽免职。特征轧了电影被 X 光衍射描绘,思考高度精力电子衍射和原子力量显微镜学。结果显示这些电影的结构和形态学强烈依赖于免职温度... 比较喜欢面向、精细多晶轧了电影被血浆准备提高的金属独立厚钻石电影的成核表面上的器官的化学蒸汽免职。特征轧了电影被 X 光衍射描绘,思考高度精力电子衍射和原子力量显微镜学。结果显示这些电影的结构和形态学强烈依赖于免职温度。在词法、结构的性质的最重要的改进轧了电影在 400degC 的合适的免职温度下面被获得。[从作者抽象] 展开更多
关键词 化学气相沉积法 氮化镓薄膜 金刚石薄膜 薄膜制备 反射高能电子衍射 膜厚 立式 特性
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Observation of Periodic Multiplication and Chaotic Phenomena in Atmospheric Cold Plasma Jets 被引量:1
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作者 齐冰 黄建军 +1 位作者 张哲皇 王德真 《Chinese Physics Letters》 SCIE CAS CSCD 2008年第9期3323-3325,共3页
我们从交流调查当前的脉搏的时间的进化他在气压并且与在范围 14.76-15.30 kHz 驾驶频率的冷血浆喷气。当血浆系统在有电流在搏动的进化的类比的分叉参数经历增加和混乱,开车频率被使用。如此的时间域非线性为在大气的发光分泌物控制... 我们从交流调查当前的脉搏的时间的进化他在气压并且与在范围 14.76-15.30 kHz 驾驶频率的冷血浆喷气。当血浆系统在有电流在搏动的进化的类比的分叉参数经历增加和混乱,开车频率被使用。如此的时间域非线性为在大气的发光分泌物控制不稳定性是重要的。另外,观察能提供一些数据支持结果以前报导了的模拟[Appl。Phys。Lett。90 (2007 ) 071501 ] 。[从作者抽象] 展开更多
关键词 大气科学 低温等离子流 混沌现象 周期增加
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Numerical study on the discharge characteristics and nonlinear behaviors of atmospheric pressure coaxial electrode dielectric barrier discharges 被引量:1
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作者 张定宗 王艳辉 王德真 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第6期259-265,共7页
The discharge characteristics and temporal nonlinear behaviors of the atmospheric pressure coaxial electrode dielectric barrier discharges are studied by using a one-dimensional fluid model. It is shown that the disch... The discharge characteristics and temporal nonlinear behaviors of the atmospheric pressure coaxial electrode dielectric barrier discharges are studied by using a one-dimensional fluid model. It is shown that the discharge is always asymmetrical between the positive pulses and negative pulses. The gas gap severely affects this asymmetry. But it is hard to acquire a symmetrical discharge by changing the gas gap. This asymmetry is proportional to the asymmetric extent of electrode structure, namely the ratio of the outer electrode radius to the inner electrode radius. When this ratio is close to unity, a symmetrical discharge can be obtained. With the increase of frequency, the discharge can exhibit a series of nonlinear behaviors such as period-doubling bifurcation, secondary bifurcation and chaotic phenomena. In the period-doubling bifurcation sequence the period-n discharge becomes more and more unstable with the increase of n. The period-doubling bifurcation can also be obtained by altering the discharge gas gap. The mechanisms of two bifurcations are further studied.It is found that the residual quasineutral plasma from the previous discharges and corresponding electric field distribution can weaken the subsequent discharge, and leads to the occurrence of bifurcation. 展开更多
关键词 atmospheric dielectric-barrier discharge numerical simulation nonlinear behaviors
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New crystal structure and physical properties of TcB from first-principles calculations 被引量:1
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作者 张刚台 白婷婷 +1 位作者 闫海燕 赵亚儒 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第10期366-372,共7页
By combining first-principles calculations with the particle swarm optimization algorithm, we predicted a hexagonal Pˉ3m1 structure for Tc B, which is energetically more favorable than the previously reported WC-type... By combining first-principles calculations with the particle swarm optimization algorithm, we predicted a hexagonal Pˉ3m1 structure for Tc B, which is energetically more favorable than the previously reported WC-type and Cmcm structures.The new phase is mechanically and dynamically stable, as confirmed by its phonon and elastic constants calculations.The calculated mechanical properties show that it is an ultra-incompressible and hard material. Meanwhile, the elastic anisotropy is investigated by the shear anisotropic factors and ratio of the directional bulk modulus. Density of states analysis reveals that the strong covalent bonding between Tc and B atoms plays a leading role in forming a hard material. Additionally, the compressibility, bulk modulus, Debye temperature, Gruneisen parameter, specific heat, and thermal expansion coefficient of Tc B are also successfully obtained by using the quasi-harmonic Debye model. 展开更多
关键词 TcB structure prediction ultra-incompressible material thermodynamic properities
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Review of stopping power and Coulomb explosion for molecular ion in plasmas 被引量:1
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作者 Guiqiu Wang He Yi +8 位作者 Yujiao Li Yaochuan Wang Dajun Liu Fei Gao Wei Liu Jieru Ren Xing Wang Yongtao Zhao Younian Wang 《Matter and Radiation at Extremes》 SCIE EI CAS 2018年第2期67-77,共11页
We summarize our theoretical studies for stopping power of energetic heavy ion,diatomic molecular ions and small clusters penetrating through plasmas.As a relevant research field for the heavy ion inertial confinement... We summarize our theoretical studies for stopping power of energetic heavy ion,diatomic molecular ions and small clusters penetrating through plasmas.As a relevant research field for the heavy ion inertial confinement fusion(HICF),we lay the emphasis on the dynamic po-larization and correlation effects of the constituent ion within the molecular ion and cluster for stopping power in order to disclose the role of the vicinage effect on the Coulomb explosion and energy deposition of molecules and clusters in plasma.On the other hand,as a promising scheme for ICF,both a strong laser field and an intense ion beam are used to irradiate a plasma target.So the influence of a strong laser field on stopping power is significant.We discussed a large range of laser and plasma parameters on the coulomb explosion and stopping power for correlated-ion cluster and C 60 cluster.Furthermore,in order to indicate the effects of different cluster types and sizes on the stopping power,a comparison is made for hydrogen and carbon clusters.In addition,the deflection of molecular axis for diatomic molecules during the Coulomb explosion is also given for the cases both in the presence of a laser field and laser free.Finally,a future experimental scheme is put forward to measure molecular ion stopping power in plasmas in Xi’an Jiaotong University of China. 展开更多
关键词 MOLECULES Stopping power Coulomb explosion Vicinage effect LASER
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A Computational Study of Radio Frequency Atmospheric Pressure Discharge in Nitrogen and Oxygen Mixture Gases 被引量:1
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作者 王一男 刘悦 林国强 《Chinese Physics Letters》 SCIE CAS CSCD 2013年第3期100-103,共4页
The characteristics of radio frequency atmospheric pressure discharge in nitrogen and oxygen mixture gases are investigated by using a one-dimensional fluid model.The model consists of equations of particle continuity... The characteristics of radio frequency atmospheric pressure discharge in nitrogen and oxygen mixture gases are investigated by using a one-dimensional fluid model.The model consists of equations of particle continuity,Poisson's equation,and the electron energy equation.The effect of the concentrations of O_(2) in N_(2) on the discharge characteristics is analyzed.The results show that when the concentration of O_(2) in N_(2) is less than 12%,as the amount of O_(2) grows,the electron density and the N4+ion density decrease;the main negative particles are electrons.When the concentration of O_(2) in N_(2) is greater than 12%,the electron density and the N_(4)^(+) ion density increase with the increasing admixture of oxygen;the main negative particle is the O^(-) ion.Moreover,the O^(-) ion density,the O_(2)^(+) ion density,the electron temperature and the mixture gases electronegativity increase with growth of O_(2) in the range from 4%to 20%and with density of O_(2) in N_(2). 展开更多
关键词 equation. GASES OXYGEN
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Coulomb Explosion and Energy Loss of Energetic C20 Clusters in Dense Plasmas 被引量:1
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作者 王桂秋 李文坤 王友年 《Chinese Physics Letters》 SCIE CAS CSCD 2009年第12期175-178,共4页
The molecular dynamics (MD) method is used to simulate the interactions of energetic C20 clusters with the dense plasma targets within the framework of the linear Vlasov-Poisson theory. The influences of various clu... The molecular dynamics (MD) method is used to simulate the interactions of energetic C20 clusters with the dense plasma targets within the framework of the linear Vlasov-Poisson theory. The influences of various clusters (H2, N2, C20 and C60 respectively) on stopping power are discussed. The simulation results show that the vicinage effects in the Coulomb explosion dynamics and the stopping power are strongly affected by the variations in the cluster speed and the plasma parameters. Coulomb explosions are found to proceed faster for higher speeds, lower plasma densities and higher electron temperatures. In addition, the cluster stopping power is strongly enhanced in the early stages of Coulomb explosions due to the vicinage effect, but this enhancement eventually diminishes, after the cluster constituent ions are sufficiently separated. For the large and heavy clusters, the stopping power ratio reaches much higher values in the early stage of Coulomb explosion owing to the constructive interferences in the vicinage effect. 展开更多
关键词 Atomic and molecular physics Plasma physics
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Interferometry analyses of pion and kaon for the granular sources for Au+Au collisions at (~SNN)^(1/2)=200 GeV
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作者 Jing Yang Wei-Ning Zhang 《Nuclear Science and Techniques》 SCIE CAS CSCD 2016年第6期38-42,共5页
We examine the interferometry results of identical pion and kaon for the granular sources of quark-gluon plasma droplets for the Au + Au collisions at S_(NN)^(1/2) = 200 GeV.The effects of particle absorptions of pion... We examine the interferometry results of identical pion and kaon for the granular sources of quark-gluon plasma droplets for the Au + Au collisions at S_(NN)^(1/2) = 200 GeV.The effects of particle absorptions of pion and kaon on the results are investigated.We find that the absorptions lead to the decrease of the interferometry radii.After considering the absorptions,the interferometry radii of pion and kaon of the granular sources are in better agreement with the experimental data of the Au + Au collisions. 展开更多
关键词 干涉分析 K介子 Π介子 颗粒 碰撞 夸克胶子等离子体 测定结果 实验数据
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Effects of Tailed Pulse-Bias on Ion Energy Distributions and Charging Effects on Insulating Substrates
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作者 刘增 戴忠玲 +1 位作者 贺才强 王友年 《Plasma Science and Technology》 SCIE EI CAS CSCD 2015年第7期560-566,共7页
Abstract A hybrid sheath model, including a fluid model and a Monte Carlo (MC) method, is proposed to study ion energy distributions (IEDs) driven by a radiofrequency (RF) with a tailed pulse-bias on an insulati... Abstract A hybrid sheath model, including a fluid model and a Monte Carlo (MC) method, is proposed to study ion energy distributions (IEDs) driven by a radiofrequency (RF) with a tailed pulse-bias on an insulating substrate, where a charging effect is obviously caused by the ions accumulated. This surface charging effect will significantly affect the IEDs on the insulating substrate. In this paper, a voltage compensation method is employed to eliminate the charging effect by making the pulse-bias waveform have a certain gradient. Furthermore, we investigate the IEDs under the condition of different pulse-bias duty ratios, waveforms, amplitudes, and cycle proportions. It is found that the parameters of the pulsed source can effectively modulate the IEDs on the insulating substrate and the charging effect, and more desired IEDs are obtained by using the voltage compensation method with modulations of pulse parameters. 展开更多
关键词 SHEATH IEDs tailed pulse-bias waveform hybrid model charging effect
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Comparison of 2D Hybrid Simulational and Experimental Results for Dual-Frequency Capacitively Coupled Argon Plasmas
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作者 毕振华 徐翔 +3 位作者 刘永新 蒋相占 陆文琪 王友年 《Plasma Science and Technology》 SCIE EI CAS CSCD 2011年第2期181-187,共7页
A two-dimensional hybrid simulation scheme is proposed to study the characteristics of dual-frequency (DF) capacitively coupled plasma (CCP) discharge based on the geometry of real device. Given the experimental p... A two-dimensional hybrid simulation scheme is proposed to study the characteristics of dual-frequency (DF) capacitively coupled plasma (CCP) discharge based on the geometry of real device. Given the experimental parameters for argon plasma, the output from the fluid module such as ion density, number flux, electron temperature and the Monte-Carlo collision (MCC) results of ion energy distribution function (IEDF) as well as electron energy distribution function (EEDF) are obtained and discussed in detail. A novel complete floating double probe is designed to measure both density and temperature of electron and a quadrupole mass spectrometer is also equipped for IEDF investigations. The measurements on the density of bulk plasma, electron temperature and IEDF agree well, qualitatively, with the simulated results. A comparison with experimental results indicates that, since the structure of real device is taken into account, this model is capable of describing the global dynamic characteristics occurred in DF-CCP and presenting more reliable results than the model with an ideal chamber structure. 展开更多
关键词 DF CCP hybrid model floating double probe IEDF IADF
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Production and detection of ultracold Cs_2 molecules via four-photon adiabatic passage
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作者 李健 刘勇 丛书林 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第1期108-111,共4页
We study theoretically how to produce and detect the ultracold ground-state Cs2 molecule from Feshbach state. Nu- merical calculations are performed by solving the quantum Liouville equation based on multilevel Bloch ... We study theoretically how to produce and detect the ultracold ground-state Cs2 molecule from Feshbach state. Nu- merical calculations are performed by solving the quantum Liouville equation based on multilevel Bloch model. The producing efficiency reaches 55% and the detecting efficiency is 31%. The producing and detecting efficiencies are closely related to the Rabi frequencies of laser pulses. The decay of relevant electronic and vibrational states obviously reduces the producing and detecting efficiencies. 展开更多
关键词 ultracold Cs2molecules Liouville equation density matrix chainwise stimulated Raman adia-batic passage (STIRAP)
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Characteristics of wall sheath and secondary electron emission under different electron temperatures in a Hall thruster
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作者 段萍 覃海娟 +3 位作者 周新维 曹安宁 陈龙 高宏 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第7期510-515,共6页
In this paper, a two-dimensional physical model is established in a Hall thruster sheath region to investigate the influences of the electron temperature and the propellant on the sheath potential drop and the seconda... In this paper, a two-dimensional physical model is established in a Hall thruster sheath region to investigate the influences of the electron temperature and the propellant on the sheath potential drop and the secondary electron emission in the Hall thruster, by the particle-in-cell (PIC) method. The numerical results show that when the electron temperature is relatively low, the change of sheath potential drop is relatively large, the surface potential maintains a stable value and the stability of the sheath is good. When the electron temperature is relatively high, the surface potential maintains a persistent oscillation, and the stability of the sheath reduces. As the electron temperature increases, the secondary electron emission coefficient on the wall increases. For three kinds of propellants (At, Kr, and Xe), as the ion mass increases the sheath potentials and the secondary electron emission coefficients reduce in sequence. 展开更多
关键词 Hall thruster electron temperature SHEATH secondary electron emission
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Fabrication and photoluminescence characteristics of nonuniform Yb-Er codoped films
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作者 李成仁 雷明凯 +2 位作者 李淑凤 刘玉凤 宋昌烈 《Journal of Rare Earths》 SCIE EI CAS CSCD 2008年第1期31-34,共4页
The nonuniform Yb-Er Codoped Al2O3 films were prepared on SiO2/Si substrates using a medium frequency magnetron sputtering system. Two asymmetry targets in the system were introduced to realize the nonuniform dopant. ... The nonuniform Yb-Er Codoped Al2O3 films were prepared on SiO2/Si substrates using a medium frequency magnetron sputtering system. Two asymmetry targets in the system were introduced to realize the nonuniform dopant. Some curves of Photoluminescence (PL) peak intensity were obtained by adjusting the deposition parameters, such as, the pillar number of erbium and ytterbium in the mixed target and the distance between a sample table and targets. Typically, the curve of PL peak intensity against the offset distance was approximately linear. The ratio of the PL intensity at the two ends of the same sample was 12.6 and the slope was 71.83/mm when the pillar numbers of the erbium and ytterbium in the mixed target are 5 and 60, respectively, and the distance between targets and the sample table is 2.9 cm. 展开更多
关键词 Yb-Er codoped nonuniform films the medium frequency magnetron sputtering system asymmetry targets photoluminescence spectra rare earths
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Discontinuity of mode transition and hysteresis in hydrogen inductively coupled plasma via a fluid model
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作者 徐会静 赵书霞 +3 位作者 高飞 张钰如 李雪春 王友年 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第11期296-302,共7页
A new type of two-dimensional self-consistent fluid model that couples an equivalent circuit module is used to in- vestigate the mode transition characteristics and hysteresis in hydrogen inductively coupled plasmas a... A new type of two-dimensional self-consistent fluid model that couples an equivalent circuit module is used to in- vestigate the mode transition characteristics and hysteresis in hydrogen inductively coupled plasmas at different pressures, by varying the series capacitance of the matching box. The variations of the electron density, temperature, and the circuit electrical properties are presented. As cycling the matching capacitance, at high pressure both the discontinuity and hysteresis appear for the plasma parameters and the transferred impedances of both the inductive and capacitive discharge components, while at low pressure only the discontinuity is seen. The simulations predict that the sheath plays a determi- native role on the presence of discontinuity and hysteresis at high pressure, by influencing the inductive coupling efficiency of applied power. Moreover, the values of the plasma transferred impedances at different pressures are compared, and the larger plasma inductance at low pressure due to less collision frequency, as analyzed, is the reason why the hysteresis is not seen at low pressure, even with a wider sheath. Besides, the behaviors of the coil voltage and current parameters during the mode transitions are investigated. They both increase (decrease) at the E to H (H to E) mode transition, indicating an improved (worsened) inductive power coupling efficiency. 展开更多
关键词 inductively coupled plasmas mode transition HYSTERESIS fluid simulation
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Study of the Characteristics of DC and ICP Hybrid Discharge Plasmas
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作者 王战 高巍 +2 位作者 张彭 闫慧杰 任春生 《Plasma Science and Technology》 SCIE EI CAS CSCD 2015年第3期191-195,共5页
In this paper, the double-discharge plasma generated by radio frequency (RF) and direct current (DC) has been investigated. In comparison with their single-frequency counterpart, the interaction between the two ex... In this paper, the double-discharge plasma generated by radio frequency (RF) and direct current (DC) has been investigated. In comparison with their single-frequency counterpart, the interaction between the two excitations is significant and beneficial. The results show that the RF discharge can effectively increase the DC discharge current and decrease the DC voltage; meanwhile the DC discharge is favorable to feed abundant high energy seed electrons to the ICP discharge sustaining at 13.56 MHz for the latter to acquire higher plasma density and lower plasma potential by increasing the ionization rate. The innovative design has been demonstrated to facilitate more homogeneous performance with higher plasma density. 展开更多
关键词 ICP DC discharge Langmuir probe plasma characteristic
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Geometric phases and quantum phase transitions in inhomogeneous XY spin-chains:Effect of the Dzyaloshinski-Moriya interaction
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作者 王林成 闫俊彦 衣学喜 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第4期152-158,共7页
We study geometric phases of the ground states of inhomogeneous XY spin chains in transverse fields with Dzyaloshinski--Moriya (DM) interaction, and investigate the effect of the DM interaction on the quantum phase ... We study geometric phases of the ground states of inhomogeneous XY spin chains in transverse fields with Dzyaloshinski--Moriya (DM) interaction, and investigate the effect of the DM interaction on the quantum phase transition (QPT) of such spin chains. The results show that the DM interaction could influence the distribution of the regions of QPTs but could not produce new critical points for the spin-chain. This study extends the relation between geometric phases and QPTs. 展开更多
关键词 geometric phase quantum phase transition the Dzyaloshinski-Moriya interaction
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