反转磁场处粒子运动分析

本文用解析方法分析了反转磁场位形中反转力线处粒子运动以及引导中心性质,从哈密顿函数出发,讨论了粒子在准势场中的束缚运动的特征以及x-px相空间上的周期性质;给出了引导中心坐标、绝热不变量、运动频率和漂移速度等物理量的表达式,从而描写了粒子二维运动图象。该工作为不稳定性理论和非线性动力学理论的进一步研究打下基础。     

一维自旋-1/2XY模型的磁场效应

本文主要利用Haldane的谐振流理论——玻色化方法研究外场中的自旋-1/2XY模型。本文首先将无磁场情况下该模型的哈密顿进行了玻色化与对角化,并单独讨论了磁场项,最后两者联合给出外磁场中一维自旋-1/2模型哈密顿的玻色化形式。在这种形式下哈密顿量中的协变问题可以通过平移费米点来解决,所以,在阿贝尔玻色化方案下对玻色场算符做了重新定义,得到一个新的协变的哈密顿,从而解决了由于扰动所带来的问题,各关联函数也随之给出;最后简单讨论了平移费米点给模型关联函数的表达式带来的变化,以及玻色化方法较之其他方法的优长。     

磁场旋度对磁场漂移的影响

讨论了静态非均匀磁场中的磁场旋度对带电粒子引导中心漂移的影响。运用三维矢量分析的方法,将带电粒子垂直于磁场运动所引起的磁场漂移分为两项,分别由磁场的曲率和磁场的旋度决定。给出了螺旋状环形磁场中由磁场旋度引起的磁场漂移的近似表达式,讨论了该漂移成分对于该磁场中通行粒子轨道和捕获粒子轨道的可能影响。结果表明,带电粒子垂直于磁场运动所引起的磁场漂移主要由磁场的曲率决定,而磁场旋度对该漂移的影响比较微弱。     

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讨论了静态非均匀磁场中的磁场旋度对带电粒子引导中心漂移的影响。运用三维矢量分析的方法,将带电粒子垂直于磁场运动所引起的磁场漂移分为两项,分别由磁场的曲率和磁场的旋度决定。给出了螺旋状环形磁场中由磁场旋度引起的磁场漂移的近似表达式,讨论了该漂移成分对于该磁场中通行粒子轨道和捕获粒子轨道的可能影响。结果表明,带电粒子垂直于磁场运动所引起的磁场漂移主要由磁场的曲率决定,而磁场旋度对该漂移的影响比较微弱。     

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分析了有限磁场中激光等离子体通道周围为有耗气体介质时激光引导电磁脉冲传播的一般模式的传播特性,建立了有限磁场中激光等离子体通道引导电磁脉冲的几何模型,导出了广义柱坐标系下各向异性介质中纵向场所满足的波动方程及纵向场与横向场的关系。利用边界条件给出了有限磁场中激光引导电磁脉冲传播模式的严格特征方程,重点讨论了传播常数随等离子体参数、周围介质参数和外加磁场的变化。结果表明,有限磁场中激光引导电磁脉冲的传播特性比无磁场或外加无穷大磁场时更具有可控性。     

反向导引磁场自由电子激光中平衡态电子相轨道

考虑电子束自身场情况下，给出了反向导引磁场自由电子激光中平衡态电子运动的一种正则描述。证明了在可积极限下，不动点附近相轨道的稳定性；并采用美国麻省理工学院的反向导引场自由电子激光实验参数，计算了不同束流强度下的Ｐｏｉｎｃａｒé截面。结果表明，即使自身场相当强（束流强度达到６０００Ａ），平衡态电子的相轨道仍保持其规则性，相空间没有出现混沌，这说明在自由电子激光器中，利用反向导引磁场可以获得比传统的采用正向导引磁场更好的电子束质量，从而改善器件的输出性能。 关键词：     

磁场中激光牵引热解石墨的理论与实验研究

利用钕铁硼永磁体搭建了悬浮平台,抗磁性物质热解石墨片做悬浮物,在光热效应下,研究了激光牵引磁悬浮热解石墨的运动机制.从悬浮物受力公式出发,将其分为磁场与热场2部分影响,结合Matlab给出理论公式与实验方案,通过实验验证了理论的自洽性.使用COMSOL进行数值模拟,给出定位情况下的受力情况、磁场分布以及热场分布等.使用COMSOL建立了相关APP,可以得到磁铁序列的磁场分布、势场分布、热解石墨片的热场分布及其在磁场中任意位置的受力.     

拉曼型自由电子激光器中相对论电子运动稳定性的比较研究

拉曼型自由电子激光器作为一种兆瓦级高功率毫米波、太赫兹波辐射源, 其电子的运动稳定性对整体器件的性能至关重要.本文采用科尔莫戈罗夫熵方法, 以典型的麻省理工学院公布的实验数据为例, 比较研究拉曼型正向导引磁场和反向导引磁场两类自由电子激光器中相对论电子的运动稳定性. 结果表明:摇摆器绝热压缩磁场对电子运动的稳定性无实质性影响, 但对电子运动影响大; 电子束自身场在拉曼型正向导引磁场自由电子激光器中使电子运动稳定性变差, 而在拉曼型反向导引磁场自由电子激光器中则可改善电子运动稳定性. 关键词： 拉曼型自由电子激光器 相对论电子运动稳定性 科尔莫戈罗夫熵 电子束自身场     

带轴向引导磁场自由电子激光的控制参数

给出了带轴向引导磁场且由螺旋周期磁场抽运之自由电子激光的进化方程。发现系统的运动行为决定于某控制参数，该参数包括了束流强度、泵浦场强度、轴向场强及初始状态的综合效应。讨论了系统的集体不稳定性。给出了临界值W_T=2 2^1/2(对N≥3)，以及W＞＜W_T时的辐射场表达式。 关键词：     

带轴向引导磁场自由电子激光器中的电子轨迹与稳定性

在对中国工程物理研究院电子学研究所和中国科学院上海光学精密机械研究所所做带引导磁场喇曼型自由电子激光实验进行数值模拟的基础上,本文研究了轴向引导磁场和摇摆磁场联合作用的单电子轨迹,对电子的平衡轨道和一阶微扰轨道进行了仔细分析,揭示了在引导磁场存在的情况下,摇摆磁场横向变化引起的电子感应回旋运动的重要性,推导了带引导磁场情况下的电子感应回旋运动方程,给出了电子感应回旋运动的周期,X方向、Y方向之间的关系。同时,用数值模拟方法研究了电子的运动,两者结果符合很好。 关键词：     

Splitting of thin current sheets in the Earth’s magnetosphere

An analytic model of a one-dimensional self-consistent anisotropic thin current sheet is proposed. This model describes the sheet with a split (or bifurcated) structure, where the current density is minimal at the center and maximal at the edges. The model is specified by the set of Vlasov-Maxwell equations that reduces to the Grad-Shafranov equation. Under the assumption that particles move quasi-adiabatically, i.e., that the approximate integral of motion I_z is conserved, the slow evolution of the system in the course of diffusion of the distribution function in I_z is analyzed. Scattering processes can give rise to the partial capture of flying ions near the current sheet. Since the current of such quasi-trapped particles is directed oppositely to the current of flying particles, the local current at the center of the sheet is fully or partially compensated. As a result, the ordinary single-peak shape of the current density profile changes to the bifurcated shape. Such a structure is characteristic of the thin current sheet before the total destruction, when the tension of the magnetic field is unbalanced. Numerical calculations are corroborated by the observations of split current sheets in the magnetotail by the Cluster and Geotail satellites. The obtained results indicate that a possible mechanism of the destruction of the thin current sheet is not necessarily associated with the development of plasma instabilities but can be evolutionary.     

Magnetic double-gradient instability and flapping waves in a current sheet

A new kind of magnetohydrodynamic instability and waves are analyzed for a current sheet in the presence of a small normal magnetic field component varying along the sheet. These waves and instability are related to the existence of two gradients of the tangential (B_{tau}) and normal (B_{n}) magnetic field components along the normal (nabla_{n}B_{tau}) and tangential (nabla_{tau}B_{n}) directions with respect to the current sheet. The current sheet can be stable or unstable if the multiplication of two magnetic gradients is positive or negative. In the stable region, the kinklike wave mode is interpreted as so-called flapping waves observed in Earth's magnetotail current sheet. The kink wave group velocity estimated for the Earth's current sheet is of the order of a few tens of kilometers per second. This is in good agreement with the observations of the flapping motions of the magnetotail current sheet.     

A Negative Donor Center Trapped by a Spherical Quantum Dot

The properties of the low-lying states of a negative donor center trapped by a spherical quantum dot, which is subjected to a parabolic potential confinement, are investigated in the absence of magnetic field. The calculations have been performed by means of the exact diagonalization of the Hamiltonian matrix within the effective-mass approximation. We find that there is only one bound state the D^- center in a spherical parabolic quantum dot in the absence of magnetic field. The binding energy of the ground state is obtained as a function of the dot size. Moreover, the critical confined potential radius value at which the negative donor center changes from unbound to bound is obtained.     

Three-dimensional evolution of a relativistic current sheet: triggering of magnetic reconnection by the guide field

The linear and nonlinear evolution of a relativistic current sheet of pair (e(+/-)) plasmas is investigated by three-dimensional particle-in-cell simulations. In a Harris configuration, it is obtained that the magnetic energy is fast dissipated by the relativistic drift kink instability (RDKI). However, when a current-aligned magnetic field (the so-called "guide field") is introduced, the RDKI is stabilized by the magnetic tension force and it separates into two obliquely propagating modes, which we call the relativistic drift-kink-tearing instability. These two waves deform the current sheet so that they trigger relativistic magnetic reconnection at a crossover thinning point. Since relativistic reconnection produces a lot of nonthermal particles, the guide field is of critical importance to study the energetics of a relativistic current sheet.     

Influence of the current density longitudinal distribution in current sheets on their magnetic field structure and formation dynamics. I: Calculation of the magnetic field of current sheets with different configurations

The structure of the current sheet magnetic fields are numerically calculated for different distributions of the current density across the current sheet width. The structural features of the magnetic fields of current sheets with current density double-humped distributions are revealed.     

Enhancement of the guide field during the current sheet formation in the three-dimensional magnetic configuration with an X line

Results are presented from studies of the formation of current sheets during exciting a current aligned with the X line of the 3D magnetic configuration, in the CS-3D device. Enhancement of the guide field (parallel to the X line) was directly observed for the first time, on the basis of magnetic measurements. After the current sheet formation, the guide field inside the sheet exceeds its initial value, as well as the field outside. It is convincingly demonstrated that an enhancement of the guide field is due to its transportation by plasma flows on the early stage of the sheet formation. The in-plane plasma currents, which produce the excess guide field, are comparable to the total current along the X line that initiates the sheet itself.     

Interlayer phase coherence and Josephson effects in bilayer quantum Hall systems

When an electron is confined within the lowest Landau level, its position is described solely by the guiding center, whose X and Y coordinates do not commute with one another. The equations of motion do not follow from the kinetic Hamiltonian but from the noncommutative property of the space. Based on this microscopic theory, we analyze the bilayer QH system at the filling factor ?? = 1, and show that there develops an interlayer phase coherence. It is interpreted that the phase coherence occurs due to the Bose-Einstein condensation of composite bosons, which are single electrons bound to magnetic flux quanta. The phase coherence can induce the Josephson inplane current as well as the Josephson tunneling current, which are dissipationless as in superconductor. We demonstrate that the Josephson inplane current provokes anomalous behaviors in the Hall resistance in counterflow and drag experiments. Furthermore, we investigate the condition on the input current for the tunneling current to be coherent and dissipationless. We predict also how the condition changes when the sample is tilted in the magnetic field.     

Magnetoimpedance effect in FeCoMoSiB amorphous sheets

The magnetoimpedance effect in sheets made of Fe₄Co₆₇Mo_1.5Si_16.5B₁₁ amorphous metallic alloy is studied in relation to the mutual orientations of the sheet axis, permanent magnetic field, and variable electrical current. Also, the effective permeability is studied as a function of the mutual orientations of the sheet axis, permanent magnetic field, and rf magnetic field. Under certain orientations of the rf magnetic field and rf electrical current relative to the sheet axis, experimental dependences of the magnetoimpedance effect and effective permeability on the permanent magnetic field are found to correlate qualitatively. The experimental data are explained in terms of domain reconfiguration in the alloys.     

Controlling ultracold Rydberg atoms in the quantum regime

We discuss the properties of Rydberg atoms in a magnetic Ioffe-Pritchard trap being commonly used in ultracold atomic physics experiments. The Hamiltonian is derived, and it is demonstrated how tight traps alter the coupling of the atom to the magnetic field. We solve the underlying Schr?dinger equation of the system within a given n manifold and show that for a sufficiently large Ioffe field strength the 2n;{2}-dimensional system of coupled Schr?dinger equations decays into several decoupled multicomponent equations governing the center of mass motion. An analysis of the fully quantized center of mass and electronic states is undertaken. In particular, we discuss the situation of tight center of mass confinement outlining the procedure to generate a low-dimensional ultracold Rydberg gas.     

Non-Markovian entanglement dynamics of two spin-1/2 particles embedded in two separate spin star baths with tunable external magnetic fields

The exact entanglement dynamics of two spin qubits in two independent spin star baths via a Heisenberg XY interaction in the thermodynamic limit has been investigated by using an operator technique. After the Holstein-Primakoff transformation, the transformed Hamiltonian is effectively equivalent to the Hamiltonian of a Jaynes-Cummings model. The results show that the dynamics of the entanglement exhibits strong non-Markovian behavior and depends on the environmental temperature, the coupling strength between the center spin and the bath, the detuning controlled by a locally applied external magnetic field, as well as the initial state of the two qubits.