赋范空间中φ-半压缩型映象的不动点的Ishikawa迭代逼近

使用赋范空间中一个不等式及某些分析技巧,证明了赋范空间中φ-半压缩映象的不动点的Ishikawa迭代过程的若干收敛定理,改进和扩展了近期相应的一些结果.     

关于S~1上扩张映射的拓扑熵的改进

对文献 [1 ]中圆周上扩张映射的拓扑熵的结论给予了改进 ,得到了结论 :设 f∈ Cr(S1 ,S1 )是扩张映射 ,则 ent(f) =log|deg(f) |.     

Relative entropy as a measure of entanglement for Gaussian states

In this paper, we derive an explicit analytic expression of the relative entropy between two general Gaussian states. In the restriction of the set for Gaussian states and with the help of relative entropy formula and Peres--Simon separability criterion, one can conveniently obtain the relative entropy entanglement for Gaussian states. As an example, the relative entanglement for a two-mode squeezed thermal state has been obtained.     

A Possible Generalized Form of Jarzynski Equality

The crucial condition in the derivation of the Jarzynski equality （JE） from the fluctuation theorem is that the time integral of the phase space contraction factor can be exactly expressed as the entropy production resulting from the heat absorbed by the system from the thermal bath. For the system violating this condition, a more general form of JE may exist. This existence is verified by three Gedanken experiments and numerical simulations, and may be confirmed by the real experiment in the nanoscale.     

（Anti-）de Sitter Black Hole Entropy and Generalized Uncertainty Principle

We generalize the method that is used to study corrections to Cardy-Verlinde formula due to generalized uncertainty principle and discuss corrections to Cardy-Verlinde formula due to generalized uncertainty principle in （anti）- de Sitter space. Because in de Sitter black hole spacetime the radiation temperature of the black hole horizon is different from the one of the cosmological horizon, this spacetime is a thermodynamical non-equilibrium spacetime.     

?????????????????????????????

分析了圆柱、柱锥形及回形纳米碳管弹簧在轴向载荷作用下的变形,给出了它们轴向刚 度$K_{\rm p}$的统一表达式. 为验证$K_{\rm p}$公式的有效性,还将圆柱形碳管纳米弹簧$K_{\rm p}$ 的理论解和相应的试验结果、有限元结果进行了比较. 结果发现,碳管纳米弹簧的$K_{\rm p}$ 理论解和试验结果、有限元结果均较为接近.     

Creation of Entanglement with Nonlocal Operations

We discuss how to create more entanglement with nonlocal operations acting on two-particle states. For a given nonlocal operation, we find that some input states cannot produce entanglement and some produce the maximal entanglement, and find that any initial entangled states can produce more entanglement than initial product states.     

玻璃化液体中构型熵与展宽弛豫函数关系的研究

The relationship between the transport properties and thermodynamic properties in glass forming liquids was investigated. The configurational entropy of Adam-Gibbs theory on cooperatively rearranging regions and the theoretic function derived from extremal value model were used to propose a brief that non-exponential stretched exponent in KWW form relaxation function is equal to the relative configurational entropy of cooperatively rearranging region in liquids, and is inversely proportional to the critical number of molecules occurring configurational transformation in a cooperatively rearranging region. Therefore, the new physical significance on glassy configuration is imposed on the stretched exponent, and theoretical developments and empirical correlations between the structural relaxation and configurational entropy are established. Further, an improved expression of β(T) was proposed to eliminate the deviation of the fit by using Vogel-Fulcher-Tammann equation from viscosity data at higher temperatures, which conforms well over 200 K temperature range. The improvement on β(T) is correspondent to the improvement on the difference in thermal capacities between isobaric and isochoric processes.     

重建极性连续统理论的基本定律和原理(Ⅸ)——热力学

对现有的微极连续统场论的基本定律进行了再研究,并指出了它们的不完整性．建立起新的微极连续统热静力学和热动力学的第一和第二基本定律．从这些定律可以很自然地和同时推导出热静力学的所有平衡方程和熵不等式以及热动力学的所有均衡方程和熵率不等式．随时对这里得到的新结果与现有微极连续力学专著和教科书中的相应结果进行了比较．着重指出的是,为什么从现有的微极连续统热动力学基本定律不能推导出局部能量均衡方程和局部熵不等式问题已经得到阐明．     

聚丙烯纤维加固土融沉特性的离散元数值模拟研究

针对掺入纤维对土体冻融特性的影响进行离散元数值模拟,首先自研了过程感知融化固结系统,基于融沉试验,提出了微观参数折减法模拟融化过程,分析了纤维掺量、纤维长度、土样高度的影响规律。结果表明：离散元方法可对融沉过程进行较为有效的模拟,并可得到最优纤维掺量,对于模拟工况,最优纤维掺量为0.1%;从融化压缩模量看,纤维长度与掺量为敏感影响因素,土样高度为次要因素;掺入纤维对土体强度与融沉特性的提升效果具有一致性。