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In this monograph, the density ?uctuation theory of transport coe?cients of simple and complex liquids is described together with the kinetic theory of liquids, the generic van der Waals equation of state, and the modi?ed free volume theory. The latter two theories are integral parts of the density ?- tuation theory, which enables us to calculate the density and temperature dependence of transport coe?cients of liquids from intermolecular forces. The terms nanoscience and bioscience are the catch phrases currently in fashion in science. It seems that much of the fundamentals remaining unsolved or poorly understood in the science of condensed matter has been overshadowed by the frenzy over the more glamorous disciplines of the former, shunned by novices, and are on the verge of being forgotten. The transport coe?cients of liquids and gases and related thermophysical properties of matter appear to be one such area in the science of macroscopic properties of molecular systems and statisticalmechanicsofcondensedmatter. Evennano-andbiomaterials,h- ever, cannot be fully and appropriately understood without ?rm grounding and foundations in the macroscopic and molecular theories of transport pr- ertiesandrelatedthermophysicalpropertiesofmatterinthecondensedphase. Oneisstilldealingwithsystemsmadeupofnotafewparticlesbutamultitude of them, often too many to count, to call them few-body problems that can be understoodwithoutthehelpofstatisticalmechanicsandmacroscopicphysics. In the density ?uctuation theory of transport coe?cients, the basic approach taken is quite di?erent from the approaches taken in the conventional kinetic theories of gases and liquids.
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The most reliable methods available for evaluating the transport properties of pure gases and fluid mixtures.
This book presents the foundations of fluid mechanics and transport phenomena in a concise way. It is suitable as an introduction to the subject as it contains many examples, proposed problems and a chapter for self-evaluation.
"Granular Gases" are diluted many-particle systems in which the mean free path of the particles is much larger than the typical particle size, and where particle collisions occur dissipatively. The dissipation of kinetic energy can lead to effects such as the formation of clusters, anomalous diffusion and characteristic shock waves to name but a few. The book is organized as follows: Part I comprises the rigorous theoretical results for the dilute limit. The detailed properties of binary collisions are described in Part II. Part III contains experimental investigations of granular gases. Large-scale behaviour as found in astrophysical systems is discussed in Part IV. Part V, finally, deals with possible generalizations for dense granular systems.
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Simple Dense Fluids is a nine-chapter text that explores the chemistry and physics of simple fluid systems. Simple systems primarily include the noble gases, the homonuclear diatomic molecules, and a select group of some polyatomic but spherically symmetrical molecules. The opening chapter describes the change of thermodynamic functions along the saturation line and how these functions can best be obtained from sets of measurements that are often in conflict, with an emphasis on the functions of three simple liquids: argon, nitrogen, and oxygen. The following chapter outlines the basic thermodynamic and statistical mechanical ideas that have been applied to the liquid-vapor interface, followed by a summary of surface tension data of simple fluids. Considerable chapters are devoted to X-ray, light, and neutron scattering measurements on simple dense fluids. This book further discusses the use of electromagnetic data, especially the dielectric constant and refractive index, in the interpretation of molecular interactions and molecular structure. The available experimental data on several nonpolar liquids and liquid mixtures are also provided. The final chapters survey the nuclear relaxation and spectroscopic data in simple liquids. These chapters also present experimental data relevant to transport phenomena in simple fluids. Workers and researchers in the field of simple dense fluids will find this book of great value.
The physical properties of fluids are perhaps among the most extensively investigated physical constants of any single group of materials. This is particularly true of the thermodynamic prop erties of pure substances since the condition of thermodynamic equilibrium provides the simplest considerations for experimental measurement as well as theoretical treatment. In the case of non equilibrium transport properties, the situation is significantly complicated by the necessity of measurement of gradients in the experiment and the mathematical difficulties in handling non equilibrium distribution functions in theoretical treatments. Hence, our knowledge of the trans port properties of gases and liquids is perhaps one order of magnitude lower than for equilibrium thermodynamic properties. This situation is very much apparent when examining the available nu merical data on the viscosity of fluids particularly at high pressures. In this work, the authors have performed an outstanding contribution to the engineering literature by their critical evaluation of the pressure dependence of the available data on the viscosity of selected substances. The recommended values reported in the tables and figures also incorporate the saturated liquid and gas states as well as the data of the dilute gas in an attempt to integrate the present work with the recently published work by CINDAS/Purdue University on the viscosity of fluids at low pressures [166]. A deliberate effort was made to treat as many of the substances in the CINDAS volume as possible for which adequate high pressure data exist.
Until recently, the Mori-Zwanzig projection operator method, though powerful and simple, has been considered as a half-heuristic one. This book is devoted to a rigorous generalization of this method as well as its applications to nonequilibrium statistical mechanics. The well-known idea of the description of dynamical system evolution in terms of collective dynamical variables has been developed to a functional perturbation theory, which results in the master equation of any given accuracy. Examples of statistical mechanics applications of the method include a linearized transport theory and explicit expressions for transport coefficients of both homogeneous and inhomogeneous liquids, which are in good agreement with experimental data and simulation results.