From shape to randomness: A classification of Langevin stochasticity

The Langevin equation–perhaps the most elemental stochastic differential equation in the physical sciences–describes the dynamics of a random motion driven simultaneously by a deterministic potential field and by a stochastic white noise. The Langevin equation is, in effect, a mechanism that maps the stochastic white-noise input to a stochastic output: a stationary steady state distribution in the case of potential wells, and a transient extremum distribution in the case of potential gradients. In this paper we explore the degree of randomness of the Langevin equation’s stochastic output, and classify it à la Mandelbrot into five states of randomness ranging from “infra-mild” to “ultra-wild”. We establish closed-form and highly implementable analytic results that determine the randomness of the Langevin equation’s stochastic output–based on the shape of the Langevin equation’s potential field.     

Molecular dynamic simulations and global equation of state of square-well fluids with the well-widths from λ = 1.1 to 2.1

We present the results of extensive new molecular dynamic (MD) simulations in the one-phase region for square well fluids with well widths λ?=?1.10, 1.15, 1.20, 1.25, 1.375, 1.50, 1.75, 1.90, 2.0, and 2.10. These data have been used in developing a crossover equation of state (CR EOS) for square-well fluids with well widths 1.1?≤?λ?≤?2.1. The CR EOS incorporates non-analytic scaling laws in the critical region, and in the limit of low densities yields the exact second and third virial coefficients. Also in the high-temperature region, it reproduces first-order perturbation theory results. The CR EOS was tested against our new MD simulations, and earlier MD and Monte-Carlo (MC) simulations reported by other authors as well. Excellent agreement between calculated values and simulation data for all SW fluids is observed. In combination with the density-functional theory, the CR EOS is also capable of reproducing surface tension simulations with high accuracy. Application of the CR EOS for solid–liquid equilibrium calculations in combination with the Lennard–Jones and Devonshire cell model for the solid phase, is also discussed.     

Light extraction efficiency enhancement in organic light emitting diodes based on optimized multilayer structures

The main focus of this study is to improve the light extraction efficiency, as well as directionality of organic light emitting diodes (OLEDs) using multi-layer structures between Indium tin Oxide (ITO) and glass layers in a typical OLED. In conventional OLEDs, only about half of the light generated in the emission zone can reach to the glass substrate due to refractive index mismatch in ITO (n = 1.8?i0.01)/glass (n = 1.51) interface. The main attempt is to reduce the share of total internal reflection (TIR) and hence, the effect of different structures such as Thue-Morse and Fibonacci have been investigated and optimized with suitable layer thickness and materials based on Transfer Matrix Method (TMM). The most effective Multi-layer structures have been added to conventional OLED and have been analyzed the extraction efficiency using Finite Difference Time Domain (FDTD) method. Results show large enhancement of extraction efficiency (about 40%) in ITO/glass interface. Using this idea and applying micro-lenses array to glass substrate at the same time, one can get even higher extraction efficiency in OLED. The interesting aspect of this project is its easy fabrication process in order to commercialize the product with highest extraction efficiency and low fabrication cost.     

何首乌及其提取物的漫反射和衰减全反射红外光谱研究

采用漫反射和衰减全反射两种红外光谱分析何首乌及其提取物。结果表明,以丙酮为提取剂时,何首乌其提取物中,韧皮部的有效成分含量最高,木质部的有效成分含量最低;通过两种方式的比较,发现何首乌及提取物的红外谱图存在一定的差异,何首乌在3 576和3 147cm-1有两个平缓的吸收峰,而提取物则在3 351cm-1有一强吸收峰,表明提取物中的OH…活性成分较多;同时,何首乌在931,859,766和709cm-1处有明显的吸收,而其提取物则没有,这也表明提取的是活性成分。     

Two-tier equilibria for supply chains with a single manufacturer and multiple asymmetric retailers

We derive sufficient conditions for the existence and uniqueness of the Stackelberg–Nash–Cournot equilibria for a supply chain problem with a single manufacturer and multiple asymmetric retailers and characterize the first and second order derivatives of the total equilibrium quantities. The Stackelberg manufacturer is assumed to supply a homogeneous product to all retailers with the retail price determined by a general nonlinear inverse demand function. We provide several extensions of our previous results [G.J. Kyparisis, C. Koulamas, A note on equilibria for two-tier supply chains with a single manufacturer and multiple retailers, Operations Research Letters 39 (2011) 471–474] obtained for a similar supply chain with symmetric retailers.     

HFC/HC混合工质共沸点的推算

HFC/HC混合工质的气液性平衡实验研究结果表明,该类型混合工质大多存在共沸现象。根据形成共沸点的热力学条件,以PR状态方程结合vdW混合法则,利用建立的二元相互作用系数k_ij差值关联模型,对10种HFCs工质（HFC23、HFC32、HFC125、HFC143a、HFC134a、HFC152a、HFC227ea、HFC236fa、HFC236ea、HFC245fa）与3种HCs工质（HC290、HC600a、HC600）相互组合而成的30种HFC/HC混合工质进行了共沸点判断和共沸点性质推算,并与已有气液相平衡实验数据的体系进行对比。结果表明该方法可用于推算HFC/HC混合工质共沸点性质。     

CO2水合物在电解质溶液中的相平衡预测

关于二氧化碳水合物基础物性的研究,对二氧化碳置换开采天然气水合物和工业废气二氧化碳的深海埋藏具有重要意义。本文在Van der Waals-Platteeuw理论和Pizter的电解质模型的基础上,考虑了电解质和温度对二氧化碳在水中溶解度的影响,从理论上对水合物相平衡模型进行了修正,提高了预测的精度。本文预测了二氧化碳水合物在NaCl、KCl、CaCl₂、MgCl₂的一元及二元溶液体系中的相平衡条件,预测的最大压力误差7.92%,平均压力误差在1%～3%之间。结果表明,本文的理论预测结果和实验数据吻合较好。     

Existence theorems of equilibrium points in stackelberg

A two players static. Stackelberg game is considered with constraints on the decision variables. Existence theorems of equilibrium points are given when the reaction set of the follower to the strategy of the leader, is a singleton. Some definition are presented and discussed and a simple existence theorem is given also in the case when the follower has more than one element in his reaction set. Finally an example of dynamic Stackelbebg game- is analized to emphasize some features arising when constraints are present on control variables.     

An ordinal well-posedness property for Nash equilibria

The aim of this article is to give, for Nash equilibria, a well-posedness criterion in the form of an ordinal property. This property is important for games because it captures the case when players' decisions depend on preferences and not on a special choice of a utility function. The ordinal characteristics of this well-posedness criterion comes from considering value-bounded approximate equilibria.     

On generalized Nash equilibrium in infinite dimension: the Lagrange multipliers approach

In this note we study a class of generalized Nash equilibrium problems and characterize the solutions which have the property that all players share the same Lagrange multipliers. Nash equilibria of this kind were introduced by Rosen in 1965, in finite-dimensional spaces. In order to obtain the same property in infinite dimension, we use very recent developments of a new duality theory. In view of its usefulness in the study of time-dependent or stochastic equilibrium problems, an application in Lebesgue spaces is given.