摘要：
With the dispersion relation derived for the geodesic acoustic mode in toroidally rotating tokamak plasmas using the fluid model, the effect of the toroidal rotation on the collisional viscous damping of the geodesic acoustic mode is investigated. It is found that the collisional viscous damping of the geodesic acoustic mode has weak increase with respect to the toroidal Mach number.
作者机构：
[Chen, You; Gong, Xueyu; Yu, Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Gong, Xueyu] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Yu, Jun] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
tokamak plasma;zonal flow;turbulence
摘要：
With the nonlinear dispersion relation derived, excitation of low frequency zonal flow by drift waves is examined in tokamak plasmas with toroidal rotation. It is shown that the growth rate of the low frequency zonal flow is decreased by the frequency shift of the geodesic acoustic mode and is increased by the additional nonlinear terms with toroidal rotation velocity. If the amplitude of the pump drift wave is greater than the threshold value, which is the function of the Mach number of the toroidal rotation, the toroidal rotation increases the nonlinear growth rate, otherwise, it decreases the nonlinear growth rate. There is always a finite nonlinear growth rate of the low frequency zonal flow if only there is a finite amplitude of the pump wave in tokamak plasmas with a finite velocity of the toroidal rotation.
期刊：
JOURNAL OF INEQUALITIES AND APPLICATIONS,2015年2015(1):1-10 ISSN：1029-242X
通讯作者：
Liu, Xiaoyou
作者机构：
[Fu, Xi] Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China.;[Liu, Xiaoyou] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Liu, Xiaoyou] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
pluriharmonic mapping;Bloch space;Besov space
摘要：
We characterize the Bloch spaces and Besov spaces of pluriharmonic mappings on the unit ball of
${\mathbb{C}}^{n}$
by using the following quantity:
$\sup_{\rho(z,w)< r,z\neq w}\frac{(1-|z|^{2})^{\alpha}(1-|w|^{2})^{\beta}|\hat{D}^{(m)}f(z)-\hat {D}^{(m)}f(w)|}{|z-w|}$
, where
$\alpha+\beta=n+1$
,
$\hat{D}^{(m)}=\frac{\partial ^{m}}{\partial z^{m}}+\frac{\partial^{m}}{\partial\bar{z}^{m}}$
,
$|m|=n$
. This generalizes the main results of (Yoneda in Proc. Edinb. Math. Soc. 45:229-239, 2002) in the higher dimensional case.
摘要：
This paper is concerned with the shunting inhibitory cellular neural networks with time-varying delays. Under some suitable conditions, we establish some criteria on the existence and global exponential stability of the almost automorphic solutions of the networks. Numerical simulations are given to support the theoretical findings.
作者机构：
[Yin Lan; Du Dan] Univ South China, Dept Math & Phys, Hengyang 421001, Peoples R China.;[Gong Xueyu; Xiang Dong; Li Jingchun] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
通讯机构：
[Gong Xueyu] U;Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
关键词：
ICRH antenna;impedance matching;transmission line theory
摘要：
The impedance matching is crucial for continuous wave operation of ion cyclotron resonance heating (ICRH) antennae with high power injection into plasmas. A sudden increase in the reflected radio frequency power due to an impedance mismatch of the ICRH system is an issue which must be solved for present-day and future fusion reactors. This paper presents a method for theoretical analysis of ICRH system impedance matching for a triple liquid stub tuner under plasma operational conditions. The relationship of the antenna input impedance with the plasma parameters and operating frequency is first obtained using a global solution. Then, the relations of the plasma parameters and operating frequency with the matching liquid heights are indirectly obtained through numerical simulation according to transmission line theory and matching conditions. The method provides an alternative theoretical method, rather than measurements, to study triple liquid stub tuner impedance matching for ICRH, which may be beneficial for the design of ICRH systems on tokamaks.
摘要：
We present a perturbation technique to study the linear and nonlinear output characteristics of coherent photon transport in a parity-time ( PT)-symmetric double-microcavity system where one passive cavity contains a single quantum emitter. It is found that (i) for the linear transmission of a low-power input probe field, the output spectra of the proposed PT-symmetric system exhibit a single transparent resonance dip and two symmetric, strongly amplifying sidebands, i.e., an inverted dipole-induced transparency; and (ii) for the nonlinear transmission of the input probe field, giant optical third-order nonlinearities with high linear transmission rate and vanishing nonlinear absorption can be achieved efficiently when the system parameters are tuned properly so that a PT-symmetry phase transition occurs. The obtained results can be useful for quantum information processing, quantum nondemolition measurements of photons, and optical signal processing.
摘要：
The electron cyclotron wave (ECW) current drive (CD) for the HL-2A tokamak is investigated numerically with a new ray-tracing and Fokker-Planck code. The code is benchmarked with other well-tested linear and quasilinear codes and is then used to study the electron cyclotron current drive on the HL-2A tokamak. The wave propagation, power deposition, and driven-current profiles are presented. The effect of electron trapping is also assessed. It is found that quasilinear effects are negligible at the present ECW power levels and that when both waves are injected at an angle of 20° on the plasma equatorial plane, the CD efficiency for the HL-2A saturates at ∼0.029 × 1020 A/W/m2 and ∼0.020 × 1020 A/W/m2 for the 0.5 MW/68 GHz first harmonic ordinary (O1) and 1 MW/140 GHz second harmonic extraordinary (X2) modes, respectively. The effects of the plasma density, temperature, and wave-launching position on the driven current are also investigated analytically and numerically.
期刊：
Advances in Difference Equations,2015年2015(1):1-15 ISSN：1687-1847
通讯作者：
He, Zhimin
作者机构：
[He, Zhimin] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.;[Chen, Huiwen] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[He, Zhimin] C;Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China.
关键词：
homoclinic solutions;discrete Hamiltonian systems;critical point theory;variational methods
摘要：
This paper is concerned with the existence of solutions for nonlinear impulsive fractional differential equations with families of mixed and closed boundary conditions. In both cases, the fractional derivative of lower order is involved in the formulation of impulsive conditions. By means of the Banach fixed point theorem, Schaefer fixed point theorem and Nonlinear alternative of Leray-Sthauder type, some existence results are obtained. Examples are given to illustrate the results.
期刊：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES,2015年125(4):477-485 ISSN：0253-4142
通讯作者：
Zheng Lijing
作者机构：
[Zheng Lijing] Univ South China, Sch Math & Phys, Hengyang, Hunan, Peoples R China.
通讯机构：
[Zheng Lijing] U;Univ South China, Sch Math & Phys, Hengyang, Hunan, Peoples R China.
关键词：
Almost Koszul algebras;Yoneda algebras;self-injective algebras
摘要：
Let k be an algebraically closed field, A a finite dimensional connected (p,q)-Koszul self-injective algebra with p,q >= 2. In this paper, we prove that the Yoneda algebra of A is isomorphic to a twisted polynomial algebra A(!)[t; beta] in one indeterminate t of degree q+1 in which A(!) is the quadratic dual of A, beta is an automorphism of A(!), and tb = beta(b)t for each t is an element of A(!). As a corollary, we recover Theorem 5.3 of [2].
关键词：
Laser;Microwave-Photonic link (MPL);Phase noise;Relative intensity noise (RIN)
摘要：
A new method for measuring the relative intensity noise (RIN) of a laser is proposed and verified by experiment in this paper. As an important module of microwave-photonic link (MPL). the RIN of a laser has contribution to systematic noises of MPL in the type of the intensity modulation and direct detection (IM-DD), so the phase noise of transmitted carrier would increase. This physical phenomenon is used to measure RIN of a laser and this method avoids the influence of near-dc noise and is unrestricted by the power of the laser compared with previous methods.
摘要：
Essential proteins are vitally important for cellular survival and development, and identifying essential proteins is very meaningful research work in the post-genome era. Rapid increase of available protein-protein interaction (PPI) data has made it possible to detect protein essentiality at the network level. A series of centrality measures have been proposed to discover essential proteins based on the PPI networks. However, the PPI data obtained from large scale, high-throughput experiments generally contain false positives. It is insufficient to use original PPI data to identify essential proteins. How to improve the accuracy, has become the focus of identifying essential proteins. In this paper, we proposed a framework for identifying essential proteins from active PPI networks constructed with dynamic gene expression. Firstly, we process the dynamic gene expression profiles by using time-dependent model and time-independent model. Secondly, we construct an active PPI network based on co-expressed genes. Lastly, we apply six classical centrality measures in the active PPI network. For the purpose of comparison, other prediction methods are also performed to identify essential proteins based on the active PPI network. The experimental results on yeast network show that identifying essential proteins based on the active PPI network can improve the performance of centrality measures considerably in terms of the number of identified essential proteins and identification accuracy. At the same time, the results also indicate that most of essential proteins are active.
