Generic replica symmetric field-theory for short range Ising spin glasses

Symmetry considerations and a direct, Hubbard-Stratonovich type, derivation are used to construct a replica field-theory relevant to the study of the spin glass transition of short range models in a magnetic field. A mean-field treatment reveals that two different types of transitions exist, whenever the replica number n is kept larger than zero. The Sherrington-Kirkpatrick critical point in zero magnetic field between the paramagnet and replica magnet (a replica symmetric phase with a nonzero spin glass order parameter) separates from the de Almeida-Thouless line, along which replica symmetry breaking occurs. We argue that for studying the de Almeida-Thouless transition around the upper critical dimension d = 6, it is necessary to use the generic cubic model with all the three bare masses and eight cubic couplings. The critical role n may play is also emphasized. To make perturbative calculations feasible, a new representation of the cubic interaction is introduced. To illustrate the method, we compute the masses in one-loop order. Some technical details and a list of vertex rules are presented to help future renormalisation-group calculations. Received 9 October 2001     

Momentum transport and torque scaling in Taylor-Couette flow from an analogy with turbulent convection

We generalize an analogy between rotating and stratified shear flows. This analogy is summarized in Table 1. We use this analogy in the unstable case (centrifugally unstable flow vs. convection) to compute the torque in Taylor-Couette configuration, as a function of the Reynolds number. At low Reynolds numbers, when most of the dissipation comes from the mean flow, we predict that the non-dimensional torque G = T/ν² L, where L is the cylinder length, scales with Reynolds number R and gap width η, G = 1.46η^3/2(1 - η)^-7/4 R ^3/2. At larger Reynolds number, velocity fluctuations become non-negligible in the dissipation. In these regimes, there is no exact power law dependence the torque versus Reynolds. Instead, we obtain logarithmic corrections to the classical ultra-hard (exponent 2) regimes: G = 0.50 . These predictions are found to be in excellent agreement with avail-able experimental data. Predictions for scaling of velocity fluctuations are also provided. Received 7 June 2001 and Received in final form 7 December 2001     

LONG-TIME BEHAVIOR OF A CLASS OF REACTION DIFFUSION EQUATIONS WITH TIME DELAYS

The present paper devotes to the long-time behavior of a class of reaction diffusion equations with delays under Dirichlet boundary conditions. The stability and global attractability for the zero solution are provided, and the existence, stability and attractability for the positive stationary solution are also obtained.     

任意循环的卡诺循环分解的综合讨论

综合讨论了任意循环的两种卡诺循环分解法 ,指出不能采用“串联”分解法来证明任意循环效率的极限 ,但可用这两种分解法来证明克劳修斯等式和不等式 ,同时指出了一些文献在涉及该问题时所存在的不妥之处。     

胡宏的"心"论探析

心是胡宏哲学的重要范畴。本文试图从天地之心、人之心、人的良心等三个角度论述胡宏的心。首先，论述天地之心在天是天道、天命，天地之心在人是人之心，更确切地讲，是人的良心。其次，论述人之心是人的天命之性之用、之已发，人之心能认知万物、体知天地，能主性情、宰制万物。人若尽其心，就能如圣人，体用合一，不於已发未发分，其心与天地同流，其心纯粹是天地之心即良心，人若尽其心，就能成已成物。最后，论述人的良心，良心是人的本质属性，知、仁、勇皆原于良心，人若察识、扩充其良心，就能成仁成人。这是胡宏心论的内涵。     

超高层建筑-18.7m的深基坑施工优化

介绍了深达 18.7m的基坑围护措施 ,对超高层建筑深基坑支护结构与施工技术进行优化     

音乐欣赏本体性质探究

音乐欣赏的本体性质是音乐美学领域中重要很难回答的问题。音乐欣赏通过听觉来审美，在创造过程中，完成感性与理性的相互结合与统一。从音乐材料，结构环节和功能作用三方面断定，材料是物质和精神的统一性，结合是约定的感性材料与理性材料的结合、音乐欣赏有其独特的功能和广泛的联系，是一门介于社会科学与自然科学之间的交叉学科。     

哈代诗歌中人与自然合二为一的艺术表现形式

英国诗人哈代在其诗歌中用细腻温婉的笔触描绘了尘世中的种种真情 ,表现出对大自然的无限敬意 ;人与自然融为一体成为其诗歌的精神支柱和情感升华的象征。     

西部地区工矿区域城市化问题初探

城市化是一种极为普遍的现象 ,矿业地区的城市化研究成果在西部地区非常少见 ,现以云南省东川市为例 ,对其发展的现状特征进行分析研究 ,将其城市化分为两个阶段 ,并揭示西部地区城市化的基本动力、地区差异性等特征 ,可为此类城市的发展提供思路