λ-矩阵的若干性质及应用

本文主要从数字矩阵具有的合同关系和相似关系等性质入手,定义并讨论λ-矩阵的合同关系和相似关系,并讨论它们的性质．     

Random quantum magnets with broad disorder distribution

We study the critical behavior of Ising quantum magnets with broadly distributed random couplings (J), such that P(ln J) ∼ | ln J|^{-1 - α}, α > 1, for large | ln J| (Lévy flight statistics). For sufficiently broad distributions, α < , the critical behavior is controlled by a line of fixed points, where the critical exponents vary with the Lévy index, α. In one dimension, with = 2, we obtained several exact results through a mapping to surviving Riemann walks. In two dimensions the varying critical exponents have been calculated by a numerical implementation of the Ma-Dasgupta-Hu renormalization group method leading to ≈ 4.5. Thus in the region 2 < α < , where the central limit theorem holds for | ln J| the broadness of the distribution is relevant for the 2d quantum Ising model. Received 6 December 2000 and Received in final form 22 January 2001     

(2+1)-Dimensional AdS Black Hole in Grand Canonical Ensemble

We investigate thermodynamics of the (2+1)-dimensional AdS black hole in grand canonical ensemble. In the York's formalism, the black hole is enclosed in a “box” with a finite radius and the boundary temperature, radius and potential are fixed in the grand canonical ensemble. We investigate the thermodynamical properties such as action, entropy, temperature, etc. We only find the stable solution for (2+1)-dimensional AdS black hole and do not find the instanton with the negative heat capacity.     

SEPARABILITY OF SPECIFIC VOLUME IN THERMODYNAMIC EQUATION OF STATE

A type of system, in which the specific volume can be divided into several parts according to its Hamiltonian, has been obtained in a grand ensemble. The main character of such a system is that its Hamiltonian is absolutely separable. We also discuss the partial specific volume contributed by thermoelectrons in metals under a free-interaction approximation, and the corresponding Wu－Jing parameter is obtained as a simple example.     

The Grand Canonical Monte Carlo Simulations of Benzene and Propylene in ITQ-1 Zeolite

Thealkylationofbenzenewithpropylenetoproducecumene,astartingmaterialfortheproductionofacetoneandphenol,isveryimportantinhydrocarbonprocess.ComparedwithsomemineralacidsincludingAlCl,andothers,zeolitesseemtobemorecleancatalysts,moreoveF,theycaneffectivelyreducetheamountoflessdesiredproductssuchasdiisopropylbenzenes.SeveralzeoIitesincludingH-ZSM-5,USYflandMCM-22havebeentestedforthereactionoftheaIkylationofbenzenewithpropylene,andithasbeenfoundthatP,USYandMCM-22areveryreactiveI.ZeoIiteMC…     

Canonical forms for positive discrete-time linear control systems

In this paper, the properties of reachability, controllability and essential reachability of positive discrete-time linear control systems are studied. These properties are characterized in terms of the directed graph of the state matrix. From these characterizations canonical forms of those properties are deduced.     

气体混合物各组分化学势的Monte Carlo模拟

在则系综测试粒子Ｍｏｎｔｅ Ｃａｒｌｏ （ＧＣＭＣ）方法模拟常温下空气（以氮气为代表）及其污染物微量有机物（以苯为例）的混合物中各组分的化学势。模拟中,氮气和苯分子采用ＬＪ球型分子势能模型,采用Ｍｅｔｒｏｐｏｌｉｓ抽样及周期边界条件。通过模拟并拟合得到了３００．２Ｋ、苯的摩尔分数为０．０６２５,氮气及苯化学势与压力的关联式,以用于狭缝碳孔中该混合物体系的选择性吸附。     

Entropy of a Black Hole with Distinct Surface Gravities

In gravitational thermodynamics, the entropy of a black hole with distinct surface gravities can be evaluated in a microcanonical ensemble. At the WKB level, the entropy becomes the negative of the Euclidean action of the constrained instanton, which is the seed for the black hole creation in the no-boundary universe. Using the Gauss-Bonnet theorem, we prove the quite universal formula in Euclidean quantum gravity that the entropy of a nonrotating black hole is one quarter the sum of the products of the Euler characteristics and the areas of the horizons. For Lovelock gravity, the entropy and quantum creation of a black hole are also studied.     

Energy elastic effects and the concept of temperature in flowing polymeric liquids

The incorporation of energy elastic effects in the modeling of flowing polymeric liquids is discussed. Since conformational energetic effects are determined by structural features much smaller than the end-to-end vector of the polymer chains, commonly employed single conformation tensor models are insufficient to describe energy elastic effects. The need for a local structural variable is substantiated by studying a microscopic toy model with energetic effects in the setting of a generalized canonical ensemble. In order to examine the dynamics of flowing polymeric liquids with energy elastic effects, a thermodynamically admissible set of evolution equations is presented that accounts for the evolution of the microstructure in terms of a slow tensor, as well as a fast, local scalar variable. It is demonstrated that the temperature used in the definition of the heat flux is directly related to the Lagrange multiplier of the microscopic energy in the generalized canonical partition function. The temperature equation is discussed with respect to, first, the dependence of the heat capacity on the polymer conformation and, second, the possibility to measure experimentally the effects of the conformational energy.