乘积型模糊B-代数

引入乘积型模糊B-代数的概念,提供它们的几个例子,研究它们的一些性质.讨论模糊B-代数与乘积型模B-代数的关系,研究乘积型模糊B-代数的同态象与同态原象的性质,给出B-代数上乘积型模糊B-代数与B-代数的积代数上乘积型模糊B-代数的关系.     

剩余格蕴涵代数中多重模糊结合滤子的研究

在剩余格蕴涵代数中,首先提出了多重模糊结合滤子的概念,研究了其性质.然后,讨论了多重模糊结合滤子与模糊滤子之间的关系;接着,讨论了多重模糊结合滤子与多重模糊关联滤子之间的关系;最后,得到了在格H蕴涵代数中,不同的多重模糊结合滤子之间等价的结论.     

格蕴涵代数的区间值(J)-模糊滤子理论

将区间值模糊集和D[0,1]上的t-模(J)应用于格蕴涵代数的滤子理论,引入格蕴涵代数的区间值,(J)-模糊(关联、正关联)滤子的概念,给出了它们的等价刻画,研究了它们之间的关系.     

不同方向局域交换场对锡烯自旋输运的影响

利用非平衡格林函数方法,理论研究了多种组合形式的局域交换场对锡烯纳米带自旋输运性质的影响.研究表明锡烯自旋相关电导、边缘态和体能带都显著地依赖于不同区域交换场的方向和强度.在[Ⅰ:±Y,Ⅱ:+Z,Ⅲ:±Y]方向交换场的共同作用下,边缘态受Y方向交换场影响形成带隙,禁带宽度与交换场强度M成正比,在-M SOSO保持电导平台G_σ=e~2/h.     

The dynamics of one-dimensional random quantum XY system with Dzyaloshinskii-Moriya interaction

In this paper,the effects of random variables on the dynamics of the s = 1/2 XY model with the Dzyaloshinskii-Moriya interaction are studied.By means of the recurrence relation method in the high-temperature limit,we calculate the spin autocorrelation functions as well as the corresponding spectral densities for the cases that the exchange couplings between spins or external magnetic fields satisfy the double-Gaussian distribution.It is found that when the standard deviation of random exchange coupling δJ(or the standard deviation of random external field δB) is small,the dynamics of the system undergoes a crossover from a collective-mode behavior to a central-peak one.However,when δJ(or δB) is large,the crossover vanishes,and the system shows a central-peak behavior or the most disordered one.We also analyze the cases in which the exchange couplings or the external fields satisfy the bimodal and the Gaussian distributions.Our results show that for all the cases considered,the dynamics of the above system is similar to that of the one-dimensional random XY model.     

Dielectric loss of half-doped manganite Lao.sCao.sMnO3＊

The dielectric loss tanfi of half-doped manganite Lao.sCao.sMnO3 is investigated using Green＇s function technique. The Lao.sCao.sMnO3 is described by the Kondo-lattice model in the double exchange limit, taking into account the Jahn- Teller distortion and the super-exchange interaction between the localized electrons. It is found that the intensity of tans decreases with increasing [e]TI, V, and U. It is also observed that the transition temperature Tp rises as l eJTI and U increase. It is worth noting that Tp remains unchanged and the strength of tans increases with increasing g. The calculated dielectric loss results are explained theoretically, and these behaviors are in qualitative agreement with the experimental results.     

Topology-like dynamical behavior of magnetization reversal in exchange-bias systems

In an exchange-bias system, the barriers with intrinsic potential energy may be asymmetric due to unidirectional anisotropy. Based on the Stoner-Wohlfarth model, we show that the asymmetric barriers may lead to four kinds of dynamical process underlying the hysteresis-loop measurement. These kinds of dynamical processes are different in a topology-like property, which can be controlled by the orientation of the external field. In our study, a new analysis approach has been proposed to reveal the dynamical behaviors of magnetization reversal. With this approach, coercivity, exchange-bias field, and asymmetry of hysteresis loops can be quantitatively obtained.     

基于调制传递函数相似度的波前编码系统优化技术

定义了调制传递函数相似度作为优化波前编码系统的评价函数,并在光学设计过程中通过引入数学软件实现了波前编码系统的快速优化。在优化过程中,通过引入数学软件与光学设计软件的动态数据交换接口实现了优化函数的快速计算和高速数据交换,并通过采用遗传算法加快了评价函数收敛速度。经过优化系统调制传递函数相似度由原来的0.0187降为0.0119,且调制传递函数幅值均高于0.18,处于设定的范围内。研究结果表明动态数据交换和外部程序的引入可以进一步提高具有特殊性质的非常规光学系统优化效率。     

Θ-type Calderón-Zygmund operators with non-doubling measures

Let µ be a Radon measure on ? ^d which may be non-doubling. The only condition that µ must satisfy is µ(B(x, r)) ≤ Cr ⁿ for all x∈? ^d , r > 0 and for some fixed 0 < n ≤ d. In this paper, under this assumption, we prove that θ-type Calderón-Zygmund operator which is bounded on L ²(µ) is also bounded from L ^∞(µ) into RBMO(µ) and from H _atb ^1,∞ (µ) into L ¹(µ). According to the interpolation theorem introduced by Tolsa, the L ^p (µ)-boundedness (1 < p < ∞) is established for θ-type Calderón-Zygmund operators. Via a sharp maximal operator, it is shown that commutators and multilinear commutators of θ-type Calderón-Zygmund operator with RBMO(µ) function are bounded on L ^p (µ) (1 < p < ∞).