Origin of the Downturn in Inverse Susceptibility Observed above the Curie Temperature in Perovskite Manganites

The measurement of low-field susceptibility X as a function of temperature T for La2/3Ca1/3MnO3 shows a significant downturn in 1/X(T) above the Curie temperature Tc, a behaviour generally observed in perovskite manganites. Such a downturn is argued to be due to the segregation of ferromagnetic clusters with larger spins in the paramagnetic matrix. Based on this consideration, a phenomenological expression for X(T) is proposed,in which the total susceptibility is assumed to be a sum of two susceptibilities arising from magnetic entities in the PM background and the FM clusters with T-dependent effective spins, respectively. The result is in good agreement with the experimental data obtained in La2/3Ca1/3MnO3.     

条件极值的充分条件

利用教材[1]的定理[12．6．3]之推论，给出了多元函数条件极值的充分条件。     

Monte Carlo Study of Griffiths Phase in Randomly Site Diluted Ising Magnetic System

We study the dynamics of spin autocorrelation function and the non-equilibrium decay of magnetization in the Criffiths phase of randomly site diluted Ising magnetic systems by Monte Carlo simulation. The results show that the relaxations are non-exponential for both two- and three-dimenslonal diluted Ising magnetic systems. At a long timescale, the asymptotic dynamics of the spin autocorrelation function C（t） behaves in the form of C（t） ～ exp{-A（lnt）^d/d-1}, expected by the theoretical prediction based on clustering arguments. Furthermore we show that the evolution of the spin autocorrelation function satisfies rather well a stretched exponential form of C（t） ～ exp{-（t/t）^β} even at quite small timescales.     

关于微元法中的微元

针对微元法中微元的能否合理选取，本文给出了判断微元的二个充分条件。     

失配因子σ2对掺杂锰基钙钛矿氧化物输运性质的影响

掺杂量、A位阳离子平均半径及失配因子是影响掺杂锰基钙钛矿氧化物从顺磁绝缘体到铁磁金属转变的主要因素，为了突出研究失配因子的影响，本文固定掺杂量和A位阳离子平均半径制备了一系列样品。0和5T磁场下电阻率与温度关系测量表明，随着失配因子的增加，绝缘体-金属转变温度向低温区移动且与σ^2岩保持线性关系；通过调节失配因子，样品La0.53Sm0.17Sr0.3MnO3的磁电阻在室温附近达到了极大值。结合样品的电输运行为，对实验结果进行了讨论。     

黎卡提方程几种特解的判定

利用黎卡提方程中的系数函数，给出了黎卡提方程的几种特解的充要条件。