化学反应中的双稳性的临界现象及Landau相变理论

本文通过两个典型事例,即Langmuir形式的交换过程和Schlogle用以模拟一级相变的自催化反应,阐明化学反应系统的双稳性临界现象同样可以纳入Landau相变理论的模式。从而进一步揭示了双稳系统一级相变线临界点的二级(连续)相变特征,同时也揭示了作为远离平衡的化学反应双稳性临界现象的共性,以至于在更大范围内临界现象的共性。将相变的Landau理论,由原来的处于热平衡的凝聚物质推广到范围更宽广,表现更为丰富多彩的远离平衡系统的临界现象。     

化学反应中的双稳性的临界现象及Landau相变理论

本文通过两个典型事例,即Langmuir形式的交换过程和Schl(?)gle用以模拟一级相变的自催化反应,阐明化学反应系统的双稳性临界现象同样可以纳入Landau相变理论的模式,从而进一步揭示了双稳系统一级相交线临界点的二级(连续)相变特征,同时也揭示了作为远离平衡的化学反应双稳性临界现象的共性,以至于在更大范围内临界现象的共性.将相变的Landau理论,由原来的处于热平衡的凝聚物质推广到范围更宽广,表现更为丰富多彩的远离平衡系统的临界现象.     

溶液的临界现象

自然界中大量物理体系的相变中存在着临界现象.距今120多年前,人们在流体气-液相变的研究中第一次发现了临界态(称为气-液临界点)的存在.1895年,Pierre Curie 在测量镍的磁性状态方程时观察到铁磁体在某一特征温度(后来称为居里点)以下会产生宏观磁矩.Curie 发现在居里点平均磁矩趋于零的方式与二氧化碳在气-液临界点附近气液二相的密度差     

溶液临界现象研究进展

溶液临界现象是热力学研究中的一个重要领域,其对于认识临界普适性规律以及理解和应用由于超常临界涨落引起的溶液特殊性质具有重要意义.本文简述了临界现象的基本概念和研究历史,介绍了近年来溶液临界现象的研究进展,重点评述了以下几个方面的理论和实验成果:(1)临界指数与指前因子标度关系在溶液体系中的普适性;(2)完全标度理论的建立、发展及其实验检验;(3)临界区域与非临界区域的跨接现象;(4)多元溶液中的三临界现象;(5)临界溶液中的化学反应速率及平衡常数的奇异性.     

A_a型Patchy胶体粒子的相态结构

根据热力学微扰理论研究了Aa型Patchy胶体的相态结构,考察了Patch之间的缔合强度及Patch数目对体系相态结构的调控机制.利用相平衡原理给出了Patchy胶体的流体、玻璃态固体和面心立方晶体之间转变及溶胶-凝胶转变的相图,讨论了玻璃态和晶态固相的成核机制、临界现象和相变问题.研究结果表明,Patchy胶体粒子之间的缔合作用和Patch数目可以显著地调控体系的三相点、临界温度和临界密度等特征.在高温条件下,Patchy胶体以一次成核方式结晶;而在低温条件下则以两步成核方式逐步成核结晶,中间经过非晶态的玻璃态固相作为过渡.说明Patchy粒子之间的缔合作用对其相态结构具有决定性影响,因而成为调控体系聚集态结构的重要因素.     

表面化学调控无机固体相变与智能应用

低维无机固体材料中电子-电子关联作用导致了许多新奇的相变行为,如金属-绝缘体转变、超导、电荷密度波和巨磁阻效应等.外场调节参量可以改变有序相间的平衡关系,实现不同相之间的转变,诱导新的物理内容甚至全新的量子临界现象,具有巨大的潜力应用于未来先进电子元件和智能响应器件.低维无机相变固体具有极大的比表面积和电子关联性,表面化学修饰为调控其相变和复杂相互作用打开了新的研究空间,有助于低维关联电子体系物理规律和新量子序的探索,对理解这些复杂物理现象的微观起源具有重要意义.本文概述了近年来发展的表面化学修饰策略调控低维无机固体相变的系列进展,并以此探究维度受限下相变固体对外界光和磁等的智能响应特性.     

多标度分形热力学及其相变

用与热力学和统计物理相类比的方法,对多重分形引入了熵、自由能函数。这些函数对多重分形的几何特性给出了充分的描述。同时按照热力学相变理论刻画了多重分形谱函数的非解析性及相变。     

换热器与相变材料的兼容性研究进展

相变材料是一类以潜热实现能量存储释放的储能材料,由于其在相变温度附近具有很大的储热密度,相变材料可以被用于建筑控温、太阳能热发电和高温传热蓄热等应用中。 换热器是相变储能设备的重要组成部分,可以将热量在供需两端进行传递和转移,保障需求一方的使用,随着相变材料研究的不断深入及其工程应用的广泛普及,换热器已在众多相变储能项目中发挥了重要的枢纽作用。 为了保证换热器的使用性能,需要对换热器在相变材料中的防腐蚀性进行全面的分析。 本文总结了大量国内外的文献,分析不同成分的相变材料对换热器材料的腐蚀性,为换热器材料的选择提供了参考。     

从多重定态到化学振荡

通过对化学反应体系动力学模型的分析, 论证了通过在多重定态体系中引入适当慢反馈步骤设计化学振荡体系的可能性, 提出了这类体系的动力学方程具有振荡解的判据以及在参数平面内划分振荡区域的方法。采用这种途径具体分析了一氧化碳在铂催化剂上氧化产生振荡现象的机理。     

封闭型简单反应系统中复杂动力学行为的模拟

研究了一个只涉及双分子反应步骤(A+B→C+D, B+C→2B)和单分反应步骤(B→p, E→A, G→B, A→D, C→P)的封闭反应系统的动力学行为, 尤其是各种状态之间的跃迁行为. 在用准定态分析方法得到的准定态分岔图的基础上, 进行了大量的数值模拟, 模拟结果和难定态分岔图预言的结果基本一致. 这些结果能定性解释近年来在封闭反应体系中发现的各种动力学现象, 如化学振荡, 多重稳定性以及定态激发现象等。     

Gelation behavior of thermoplastic-modified epoxy systems during polymerization-induced phase separation

The rheological behavior and gelation characteristics of epoxy blends are of critical importance to property study and industrial application. In this work, we studied the rheological behavior and structural transition of different thermoplastics, including polyetherimide, polymethylmethacrylate, and polyethersulfone (PES), modified epoxy systems by using rheometry instrument, differential scanning calorimetry, time-resolved light scattering, and scanning electronic microscopes. At the same molecular weight level of thermoplastics, different epoxy blends show profound diversities on the rheological and gelation behavior due to the large differences in phase separation and curing process. For early phase-separation systems of PES-modified epoxy blends, two gel points are identified, which correspond to physical gelation and chemical gelation, respectively. With the variation of the PES molecular weight and curing rate, dramatic changes in gel time and critical exponent were observed. As the molecular weight of thermoplastics is increased, the gelation time becomes shorter and the gel strength gets lower, while the faster curing rate would increase the physical gel strength significantly.     

Local electric dipole moments: A generalized approach

We present an approach for calculating local electric dipole moments for fragments of molecular or supramolecular systems. This is important for understanding chemical gating and solvent effects in nanoelectronics, atomic force microscopy, and intensities in infrared spectroscopy. Owing to the nonzero partial charge of most fragments, “naively” defined local dipole moments are origin‐dependent. Inspired by previous work based on Bader's atoms‐in‐molecules (AIM) partitioning, we derive a definition of fragment dipole moments which achieves origin‐independence by relying on internal reference points. Instead of bond critical points (BCPs) as in existing approaches, we use as few reference points as possible, which are located between the fragment and the remainder(s) of the system and may be chosen based on chemical intuition. This allows our approach to be used with AIM implementations that circumvent the calculation of critical points for reasons of computational efficiency, for cases where no BCPs are found due to large interfragment distances, and with local partitioning schemes other than AIM which do not provide BCPs. It is applicable to both covalently and noncovalently bound systems. © 2016 Wiley Periodicals, Inc.     

Some consequences of thermodynamic feasibility for chemical reaction networks

Power law dynamics is used to describe the stability behavior in metabolic networks such as chemical reaction networks (CRN’s). These systems allow multiple steady states within a single stoichiometric class. On the other side thermodynamic constraints such as loop-less fluxes represented by the Gorban theorem of alternatives applied to these networks reveal considerable restrictions to their dynamics by eliminating multistability of CRN’s in general. Thermodynamic feasible CRN’s are contained in the class of injective CRN’s. We can give an alternative proof of the detailed balance with Brewer’s Fixed Point Theorem. Furthermore we can derive by the loop-less principle the extended detailed balance. This paper establishes a link between recent research in CRN theory and thermodynamic basics. The result has also consequences for the picture of multiple steady states as assumed for cell differentiation and regulation. CRN’s provide from their perspective not enough means to maintain multistability without regulation or external control.

     

Automated calculation of complete Pxy and Txy diagrams for binary systems

An algorithm for the calculation of global phase equilibrium diagrams has been recently developed [M. Cismondi, M.L. Michelsen, Global phase equilibrium calculations: critical lines, critical end points and liquid–liquid–vapour equilibrium in binary mixtures, J. Supercrit. Fluids 39 (2007) 287–295]. It integrates the calculation of critical lines, liquid–liquid–vapour (LLV) lines and critical end points, and was implemented in the software program GPEC: global phase equilibrium calculations [M. Cismondi, D.N. Nuñez, M.S. Zabaloy, E.A. Brignole, M.L. Michelsen, J.M. Mollerup, GPEC: a program for global phase equilibrium calculations in binary systems, in: Proceedings of the CD-ROM EQUIFASE 2006, Morelia, Michoacán, Mexico, October 21–25, 2006; www.gpec.plapiqui.edu.ar]. In this work we present the methods and computational strategy for the automated calculation of complete Pxy and Txy diagrams in binary systems. Being constructed from the points given by the global phase diagram at a specified temperature or pressure, their calculation does not require the implementation of stability analysis.     

Enhancement of Structural fluctuation in the region connecting two kinds of critical points in temperature-pressure-composition three-dimensional phase diagram: Raman studies of benzene/CO2 binary systems up to supercritical region

Pressure dependence of Raman spectra of benzene/CO2 two-component systems was systematically studied at different temperatures and compositions. We estimated the magnitude of inhomogeneous component in Raman bandwidth to get information on the structural fluctuation in the system. It was found that the inhomogeneous bandwidth attains a maximum on an isothermal plane in the temperature-pressure-composition three-dimensional phase diagram when the state point crosses the line connecting the region where the density fluctuation is large (the vicinity of the critical point of neat CO2) and the region where the concentration fluctuation in a binary system is enhanced (the vicinity of the critical solution point). By accumulating such data, we found that the points of large structural fluctuation comprise a sheet that includes the extension line of the gas-liquid equilibrium line in the phase diagram of neat CO2 and the line connecting critical solution points of the two-component system at different temperatures. Interaction between benzene and CO2 molecules in the supercritical region is briefly discussed.     

Theoretical prediction of multiple fluid-fluid transitions in monocomponent fluids

The authors use the analytical equation of state obtained by the discrete perturbation theory [A. L. Benavides and A. Gil-Villegas, Mol. Phys. 97, 1225 (1999)] to study the phase diagram of fluids with discrete spherical potentials formed by a repulsive square-shoulder plus an attractive square-well interaction (SS+SW). This interaction is characterized by the usual energy and size parameters plus three dimensionless parameters: two of them measuring the widths of the SS and the SW and the third the relative height of the SS. The matter of interest is that, for certain values of the interaction parameters, the SS+SW systems exhibit more than one first-order fluid-fluid transition. The evidence that several real substances (such as water, phosphorus, carbon, and silica, among others) exhibit an extra liquid-liquid transition has drawn interest into the study of interactions responsible for this behavior. The simple SS+SW fluid is one of the systems that, in spite of being spherically symmetric, shows multiple fluid-fluid transitions. In this work the authors investigate systematically the effect on the phase diagram of varying the interaction parameters. The use of an analytical free-energy equation gives a clear thermodynamic picture of the emergence of different types of critical points, throwing new light on the phase behavior of these fluids and thus clarifying previous results obtained by other techniques. The interplay of attractive and repulsive forces with several scale lengths produces very rich phase diagrams, including cases with three critical points. The region of the interaction-parameter space where multiple critical points appear is mapped for various families of interactions.     

Phase Behavior of Ternary Systems of the Type H2O?Oil?Nonionic Amphiphile (Microemulsions)

Liquid multicomponent systems of the type H₂O-oil-amphiphile-electrolyte are of growing interest, both in industry and in research. In applications technology, there are two problems to solve: 1. To prepare stable homogeneous solutions of H₂O and nonpolar liquids with as little amphiphile as possible which can be diluted with H₂O in all proportions without phase separation; e.g., concentrated solutions of drugs, herbicides, or insecticides. 2. To prepare stable mixtures of an aqueous, an amphiphile, and an oil phase with as little amphiphile as possible which are employed in tertiary oil recovery and in the pharmaceutical industry. Furthermore, such systems may be used for performing chemical reactions in heterogeneous liquid mixtures with continuously variable properties. In research, such systems are of interest for both experimental and theoretical studies of critical phenomena, especially near so-called tricritical points. Last but not least, their properties may stimulate further research in the field of associated solutions. In this paper we summarize the results of our studies on the phase behavior of ternary systems with nonionic amphiphiles, in particular with respect to the evolution of liquid three-phase bodies. The results suggest that the tricritical points in such systems should be regarded as kinds of pivot points from which the phase behavior evolves. If this were an approach to reality, the phase behavior would be governed in more or less good approximation by universal scaling laws, irrespective of the particular microstructure of the solutions. Finally, we discuss the effect of electrolytes on the phase behavior both in a quaternary phase tetrahedron and a pseudoternary phase prism representation. Although in practice most systems consist of mixtures of oils, amphiphiles, and electrolytes, an understanding of the phase behavior of truly ternary and quaternary systems with chemically well-defined components permits at least qualitative predictions with respect to the phase behavior of the multicomponent mixtures encountered in practice.     

Is there a relation between excess volume and miscibility in binary liquid mixtures?

Molecular dynamics computer simulations of various symmetrical Lennard-Jones (LJ) models are used to elucidate how the excess volume in dense binary liquids is related to the microscopic interactions between the particles. Both fully miscible systems and systems with a liquid-liquid phase separation are considered by varying systematically the parameters of the LJ potentials. The phase diagrams with the critical points of the demixing systems are determined by means of Monte Carlo simulations in the semigrandcanonical ensemble. The different LJ models are investigated by computing Bhatia-Thornton structure factors, enthalpy of mixing, and excess volume. For the demixing systems, the LJ models show a positive enthalpy of mixing while it is negative for the systems without miscibility gap. In contrast to that, the excess volume can be negative and positive for both demixing and fully miscible systems. This behavior is explained in terms of the interplay between the repulsive and attractive terms in the LJ potential. Whereas repulsions dominate the packing of particles as reflected by the number-density structure factor, the chemical ordering and thus the concentration structure factor are strongly affected by attractive interactions, leading to the "anomalies" of the excess volume.     

Slowing Down in Chemical Tristability Systems

In this paper two kinds of slowing down in the chemical tristability systems are studied. One is the critical slowing down at the edges of tristable region, and the other is the slowing down far from the critical point, which has much to do with the unstable steady‐points. The results possess some universal properties.     

Systematic investigation of global phase behavior of polymer mixtures in the pressure-temperature plane

We investigate the critical lines of polymer mixtures in the presence of their vapor phase at the mathematical double point, where two critical lines meet and exchange branches, and its environment. The model used combines the lattice gas model of Schouten, ten Seldam and Trappeniers with the Flory-Huggins theory. The critical line structure is displayed for various combinations of the chain length and system parameters in the pressure (P)-temperature (T) plane, as is usually done with experimental results. This type of work sheds light on the essential transition mechanism involved in the phase diagram's change of character, such as multi-critical points and mathematical double points, which are of great practical importance in supercritical fluid extraction processes. The P, T diagrams are discussed in accordance with the Scott and van Konynenburg binary phase diagram classification. We found that our P, T plots were in agreement with type II, type III, or type IV phase diagram behaviors. We also found that some of our phase diagrams represent the liquid-liquid equilibria in polymer solutions and mixtures.