Determination of q=1 surface by the variation of pellet ablation rate on the HL-1M

Strong drop of Hα emission has been observed on the HL-1M tokamak by means of a detector array while a pellet crosses the q=1 surface. In this article, the q=1 surface has been determined precisely by the interval and the shape of the Hα emission striations on the pellet trajectory due to the variation of pellet ablation rate. The q-profile and current density distribution at the plasma centre region have been calculated according to the pellet ablation rate and the magnetic shear feature.     

On confinement characteristics of the newly developed sawtooth-free plasmas in KSTAR tokamak

Development of advanced scenarios, an important experimental goal of the Korea superconducting tokamak advanced research (KSTAR) project, has just begun. The safety factor (q) profile is a key to achieve these advanced scenarios. Particularly the hybrid scenario, one of the advanced scenarios, can be established generally with low magnetic shear (s) at the center with central q-value above unity so to avoid sawtooth instability. This q-profile was successfully produced using early divertor formation during a plasma current ramp-up phase in KSTAR. Auxiliary heating was also employed during the current ramp-up phase to delay the inductive current diffusion to the center of the plasma. In addition to the early divertor formation method, the target q-profile was attempted to be achieved by modifying the plasma current waveform using the so-called, ‘current-overshoot’ method and the timing of L-mode to H-mode transition. In this work, the confinement characteristics of these sawtooth-free regimes are investigated. The global energy confinement time is calculated and compared with that of conventional H-modes in KSTAR. The confinement enhancement factor reveals that the newly developed discharges are not improved over H-modes contrary to results of other tokamaks. To investigate the reason, transport modeling is performed self-consistently with an integrated simulation package incorporating plasma equilibrium, transport, and heating and current drive. The current ramp-up phase is simulated and impact of early divertor formation, current-overshoot, and early L–H transition on the target q-profile and s/q profile is addressed. The s/q profile is found to be not improved in these discharges compared with hybrid scenarios reported in other tokamaks. Based on these results, future experimental directions are addressed to access the hybrid regimes in KSTAR.     

HL-2A充气弹丸注入加料的数值模拟研究

为了提高 HL-2A 等离子体中弹丸加料深度和加料效率,研制了新型充气弹丸注入加料方法。忽略 充气弹丸非加料包层的烧蚀过程,在 HL-2A 托卡马克位形下,应用 Trans-neut 程序对沉积在径向归一化磁通ψ=0.9 位置处的充气弹丸输运特性及其与本底等离子体自洽的相互作用过程进行了二维数值模拟研究,给出了加料粒子 和本底等离子体剖面的时空演化。发现氘离子在弹丸加料位置的径向内侧沉积、峰化,在径向扩散作用下,芯部 密度不断增加。在加料期间,加料点的离子温度和电子温度降低的区域不断扩展,电子温度剖面在极向上的演化 过程要快于离子温度剖面的演化过程。弹丸沉积位置的归一化分子数密度和径向分布宽度先减小后增加,与加料 处的分子分解源项(即分子密度损失率)先增加而后减小呈负相关。     

Investigation of current-density modification during magnetic reconnection by analysis of hydrogen-pellet deflection

A pellet penetrating the inner region of a tokamak discharge, where the safety factor drops below unity, triggers an instability analogous to a sawtooth crash. Because of the simultaneity of the crash and pellet crossing, the latter is an appropriate probe for investigating the current distribution during reconnection. In this Letter, pellet deflection is used to characterize the associated electron distribution function. The perturbation compatible with the observed trajectory requires a negative current layer on the q=1 magnetic surface between 3 and 12 times the equilibrium current density and an expulsion of high energy electrons from the plasma core.     

多模叠加态|Ψe4,Ⅲ〉q中广义电场分量的N次方H压缩

利用多模压缩态理论,详细研究了由多模偶相干态和多模虚偶相干态的线性叠加所组成的一种新型的四态叠加多模叠加态光场|Ψ_e⁴,Ⅲ〉_q中广义电场分量的等幂次N次方H压缩特性结果表明:1)在腔模总数q与压缩次数N的乘积q·N=4m(m=1,2,3,…)的条件下,态|Ψ_e⁴,Ⅲ〉_q的广义电场分量可恒处于等幂次NH最小测不准态2)在q·N=4m’+2(m’=0,1,2,…)的条件下,当态间的初始相位差(θ₁-θ₂)、各模的初始相位和 φ_j,以及各模平均光子数之总和 R_j²等分别满足一定的取值条件时,态|Ψ_e⁴,Ⅲ〉_q的广义电场分量总可呈现出周期性变化的偶数次的等幂次N次方H压缩效应.     

托卡马克中宏观束-等离子体扭曲模不稳定性研究

本文主要研究了具有单一高能离子分量的托卡马克等离子体扭曲模宏观不稳定性。它基本上模拟了中性束平行注入经过电离和电荷交换后在本底等离子体中维持一个稳恒等离子体流的物理过程。高能和本底都用无碰撞的Vlasov等离子体,并取了低频、小拉莫尔半径极限。由于主要考虑束-等离子体无耗散宏观不稳定性,故可用能量原理来分析。结果表明,高能离子束对本底等离子体的外部模没有影响,只影响内部扭曲模的增长率和扰动振幅。对适当选择的速度剖面,束能够完全稳定体系n≥2,m=1模,与Dunlap线性理论结果相反而与目前实验观测一致。m/n=1/1内部扭曲模增长率在所取得模型下随注入能量β_b,注入功率P_bw,轴上安全因子q(0)和束速度的径向剖面分布参数S的不同而出现增稳、减稳及完全稳定的行为。适当选择S,在q(0)<0.924时,高能束能够稳定m/n=1/1模。 关键词：     

态|ψ3(3)〉q中广义磁场分量的等幂次高次和压缩

根据量子力学中态的线性叠加原理,构造了由多模复共轭相干态|{Z_j^*〉_q(j=1,2,……q)、多模复共轭虚相干态|{iZ_j^*〉_q和多模真空态|{0_j}〉_q的线性叠加组成的第Ⅲ类三态叠加多模叠加态光场|ψ₃⁽³⁾〉_q.利用多模压缩态理论,研究了态|ψ₃⁽³⁾〉_q广义磁场分量(即第一正交相位分量)的广义非线性等幂次高次和压缩特性结果发现:当腔模总数q与压缩次数N之积qN取偶数时,态|ψ₃⁽³⁾〉_q广义磁场分量在一定条件下可分别呈现出周期性变化的、广义非线性等幂次奇数模—偶数次、偶数模—奇数次或偶数模—偶数次的高次和压缩效应.     

The q-gamma and (q,q)-polygamma functions of Tsallis statistics

An axiomatic definition is given for the q-gamma function of Tsallis (non-extensive) statistical physics, the continuous analogue of the q-factorial of Suyari [H. Suyari, Physica A 368 (1) (2006) 63], and the q-analogue of the gamma function of Euler and Gauss. A working definition in closed form, based on the Hurwitz and Riemann zeta functions (including their analytic continuations), is shown to satisfy this definition. Several relations involving the q-gamma and other functions are obtained. The (q,q)-polygamma functions , defined by successive derivatives of , where ln_qa=(1−q)⁻¹(a^1−q−1),a>0 is the q-logarithmic function, are also reported. The new functions are used to calculate the inferred probabilities and multipliers for Tsallis systems with finite numbers of particles N?∞.     

Ultra lowq a discharge experiments in the SINP tokamak

Operation of most tokamaks in limited byq _a, the edge safety factor, which is usually about 2–3. In the SINP tokamak we have been able to obtain discharges withq _a values as low as 0·8. In this paper we describe our results on the setting up processes and the MHD activity associated with these ultra lowq _a discharges.     

Qq^- Q ^- q＇ States in Chiral SU（3） Quark Model

We study the masses of Qq^- Q ^- q＇ states with J^PC=0^＋＋,1＋＋ and 2^＋＋ in the chiral SU（3）quark model, where Q is the heavy quark （c or b） and q （q＇） is the light quark （u, d or s）. According to our numerical results, it is improbable to make the interpretation of [cn^-C^-n]1＋＋ and [cn^-C^-n]2＋＋ （n = u, d） states as X（3872） and Y（3940）, respectively. However, it is interesting to find the tetraquarks in the bq^-b^-q＇ system.     

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为在更高参数运行的HL-2A装置上实现等离子体芯部加料,设计了一套基于G-M循环制冷机的25管弹丸注入系统。描述了该系统的构成、工程参数,给出了系统的结构设计,并对各组成部件进行热力分析计算。对枪管温度梯度的建立及控制、弹丸注入方式等进行了讨论。     

Disentangling q-Exponentials: A General Approach

We revisit the q-deformed counterpart of the Zassenhaus formula, expressing the Jackson q-exponential of the sum of two non-q-commuting operators as an (in general) infinite product of q-exponential operators involving repeated q-commutators of increasing order, E_q(A+B) = E_q0(A)E_q1 (B) _i=2 E_qi. By systematically transforming the q-exponentials into exponentials of series and using the conventional Baker–Campbell–Hausdorff formula, we prove that one can make any choice for the bases ^qi, i=0, 1, 2, ..., of the q-exponentials in the infinite product. An explicit calculation of the operators C _i in the successive factors, carried out up to sixth order, also shows that the simplest q-Zassenhaus formula is obtained for ₀ = ₁ =1, and ₂ = 2, and ₃ = 3. This confirms and reinforces a result of Sridhar and Jagannathan, on the basis of fourth-order calculations.     

HL-1M装置高气压超声分子束加料效果

超声分子束注入作为一种新的托卡马克加料方法,已成功地开发和应用于环流器新一号(HL1M)和超导托卡马克HT7.近期开展的高气压超声分子束注入实验,在束流中发现了团簇流,其注入等离子体深度超过17cm.电子密度上升率接近于小型冰弹丸加料.多脉冲超声分子束注入形成电子密度阶梯形上升,类似于多弹丸加料效果,电子温度剖面呈中空分布.描述了在HL1M装置同一次欧姆放电等离子体中超声分子束与冰弹丸加料效果的实验比较. 关键词： 超声分子束 托卡马克 团簇 加料     

Energetic-ion excited internal kink modes with weak magnetic shear in q0> 1 tokamak plasmas

The energetic particle driven internal kink mode is investigated in this paper for q0 1 tokamak plasma with weak magnetic shear. With the effect of energetic particles, the m/n = 1/1 internal mode structure in tokamak plasma does not appear as a rigid step-function when safety factor passes through q = 1 rational surface. It is found that even when the rational surface is removed, the mode may be still unstable under the low magnetic shear condition if the energetic particle drive is strong enough; with the low shear region of safety factor profile widening, the mode becomes more unstable with its growth-rate increasing. Furthermore, we find that the existence of the q = 1 rational surface does not have a significant effect on the stability of the plasma if energetic particles are present, which is very different from the scenarios of the ideal-MHD modes.     

Measurement of the τ Polarization Asymmetry in τ→a1 v→π±π0π0v Decay at Z0 Peak

The τ polarization asymmetry in τ→a₁v→π^±π⁰ π⁰v decay at Z⁰ peak is measured using data collected by L3 detector at LEP in 1992 and 1993, A_pol=－0.239±0.126±0.100, where the first error is statistical and the second systematic. And the effective electroweak mixing angle sin²θ_w=0.2197±0.0219 is derived.     

Onset and saturation of the kink instability in a current-carrying line-tied plasma

An internal kink instability is observed to grow and saturate in a line-tied screw pinch plasma. Detailed measurements show that an ideal, line-tied kink mode begins growing when the safety factor q = (4pi2r2B(z))/(mu0I(p)(r)L) drops below 1 inside the plasma; the saturated state corresponds to a rotating helical equilibrium. In addition to the ideal mode, reconnection events are observed to periodically flatten the current profile and change the magnetic topology.     

Measurement and Analysis of Composition and Depth Profile of H in Amorphous Si1-xCx:H Films

Composition in amorphous Si1-xCx：H heteroepitaxial thin films on Si （100） by plasma enhanced chemical vapour deposition （PECVD） is analysed. The unknown x （0.45-3.57） and the depth profile of hydrogen in the thin films are characterized by Rutherford backscattering spectrum （RBS）, resonance-nuclear reaction analysis （R-NRA） and elastic recoil detection （ERD）, respectively. In addition, the depth profile of hydrogen in the unannealed thin films is compared to that of the annealed thin films with rapid thermal annealing （RTA） or laser spike annealing （LSA） in nitrogen atmosphere. The results indicate that the stoichiometric amorphous SiC can be produced by PECVD when the ratio of CH4/SiH4 is approximately equal to 25. The content of hydrogen decreases suddenly from 35% to 1% after 1150℃ annealing. RTA can reduce hydrogen in SiC films effectively than LSA.     

Squeezing Property of the States Generated by the Excitation on the SUq(1,1) Even and Odd q-Coherent States

The squeezing property of states generated by the excitation on the SU_q(1,1) even and odd q coherent states (a+mqα>eq and a+m qα>oq) is numerically studied. It is shown that for small q, the state a+m qα>eq and state a+mqα>oq can exhibit strong q squeezing, and as r² increases the q squeezing function Δe1(Δo1) exhibits a wonderful oscillating phenomenon of increasing amplitude and increasing period. As m increases and q decreases, the amplitude of Δe1(Δo1) increases greatly. As q decreases, the period of Δe1(Δo1) increases but is independent of m.     

A Conjecture for the Effecture Condition of Jimbo's Method

The method for constructing the spectrum-dependent solutions to the Yang-Baxter equation,according to Jimbo's theorem,is based on the existence of the representation matrix of e₀,corresponding to the lowest negative root,in an irreducible representation of a quantum eveloping algebra.In this paper a conjecture for the existent condition of the representation matrix of e₀ is made.As an example,the adjoint representation of U_q C₂ is discussed where the representation matrix e₀ does not exist because the existent condition is violated.     

Comparative study of runaway electron diffusion in the rise phase of low qa and normal qa discharges in the SINP tokamak

The behaviour of runaway electrons in the SINP tokamak, which can be operated in a normal edge safety factor (q _a ) (NQ) discharge configuration as well as in a low q _a (LQ) configuration, was experimentally investigated, during the initial plasma generation phase. An energy analysis of the runaway electron dynamics in the rise phase of the SINP tokamak discharges was also made. A comparison of the runaway electron diffusion coefficients in NQ and LQ is carried out in this paper.