一类反应扩散过程的Hydrodynamic极限

本文研究一类反应扩散过程的Ｈｙｄｒｏｄｙｎａｍｉｃ极限。利用对偶公式，证明了它的Ｈｙｄｒｏｄｙｎａｍｉｃ极限下列反应扩散方程之解。     

On the Spatial Density Matrix for the Centre of Mass of a One-Dimensional Perfect Gas

We examine the reduced density matrix of the centre of mass on position basis considering a one-dimensional system of Nnoninteracting distinguishable particles in a infinitely deep square potential well. We find a class of pure states of the system for which the off-diagonal elements of the matrix above go to zero as Nincreases. This property holds also for the state vectors which are factorized in the single particle wave functions. In this last case, if the average energy of each particle is less than a common bound, the diagonal elements are distributed according to the normal law with a mean square deviation which becomes smaller and smaller as Nincreases towards infinity. Therefore when the state vectors are of the type considered we cannot experience spatial superpositions of the centre of mass and we may conclude that position is a preferred basis for the collective variable.     

浅议宏观图书馆学的特点和研究内容

结合我国图书馆事业的发展,阐述了宏观图书馆学特点,探讨了宏观图书馆学的研究内容。     

化学反应交联的随机热力学效应

根据受噪声作用的有限化学反应系统的随机热力学理论，以存在膜平衡交联的简单反应模型为例，建立了交联体系的有效主方程及有效随机熵平衡方程。进而阐了这类体系中有效熵产生的统计内涵，初步揭示出内涨落和来自化学反应交联的外噪声的随机热化学效应。     

Spontaneous formation of chiral macrostructures in achiral hockey-stick liquid crystals

We report the synthesis and properties of a homologous series of asymmetrically substituted 4-(5-(4-benzyloxyphenyl)-1,3,4-oxadiazol-2-yl)phenyl 2-X-4-dodecyloxybenzoates, which have pronounced hockey-stick molecular architectures. The structure was varied through the lateral substitution with various groups, X (H, Me, MeO, Cl, F) in the outer benzene ring. The effect of the lateral group on liquid crystal phase behaviour was investigated by thermal optical microscopy and differential scanning calorimetry. Nematic and dark conclomerate phases were observed with both displaying macroscopically chiral domains.     

Dielectric Spectroscopy Study on Vesicles of CTAB/SDBS System

IntroductionWhen the cationic and anionic surfactants in which the total carbon number is equal to or greater than 20 are mixed, then the vesicles can form spontaneously due to the strong interactions or by sonication1. Vesicle is of bilayer structure containing a closed aqueous room, resembling the structure of a real cell. So it seems to be imperative to study the membrane mimicry system like vesicle in order to understand the structure and functions of real cells further. In addition, it ca…     

Gas vacuoles formation during the dehydration of trehalose dihydrate: A Raman microspectroscopy approach

Dehydration of trehalose dihydrate implemented by slow heating (1 K min⁻¹), has been monitored by Raman microspectroscopy from 25 to 110°C directly on single crystals. Between 90 and 120°C, gas initially trapped in irregular macroscopic defects, reorganizes to form spherical vacuoles. The Raman analysis of these vacuoles highlights that the areas in vicinity of the defects are the first affected by the dehydration mechanisms. Indeed, the progressive amorphization of the crystal starts around these defects.     

关于运动物体变热的一个证明

从分子运动论的理论证明了在２个不同的惯性参照系之间物体温度的变换公式，说明运动致热的观点是正确的。     

Quantum Limits of Polarization Switching in Optical Mesoscopic Devices with Distributively Coupled Quantum Modes

The quantum theory of nonlinear dynamics and the switching effect for two distributively coupled modes in optical systems has been developed based on the Hartree approximation. The quantum limits for observation of the switching effect for the polarization characteristics of light has been determined. The creation of a new type of nonclassical mesoscopic states of light like the Schrödinger-cat states and mesoscopic qubit/qutrit states is predicted. The theoretical prediction is confirmed by a numerical estimation of real systems, i.e., tunnel-coupled optical fibers and waveguides, for the experimental realization of the states under consideration.