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An Introduction to the Statistical Theory of Classical Simple Dense Fluids covers certain aspects of the study of dense fluids, based on the analysis of the correlation effects between representative small groupings of molecules. The book starts by discussing empirical considerations including the physical characteristics of fluids; measured molecular spatial distribution; scattering by a continuous medium; the radial distribution function; the mean potential; and the molecular motion in liquids. The text describes the application of the theories to the description of dense fluids (i.e. interparticle force, classical particle trajectories, and the Liouville Theorem) and the deduction of expressions for the fluid thermodynamic functions. The theory of equilibrium short-range order by using the concept of closure approximation or total correlation; some numerical consequences of the equilibrium theory; and irreversibility are also looked into. The book further tackles the kinetic derivation of the Maxwell-Boltzmann (MB) equation; the statistical derivation of the MB equation; the movement to equilibrium; gas in a steady state; and viscosity and thermal conductivity. The text also discusses non-equilibrium liquids. Physicists, chemists, and engineers will find the book invaluable.
This book gives a comprehensive and up-to-date treatment of the theory of "simple" liquids. The new second edition has been rearranged and considerably expanded to give a balanced account both of basic theory and of the advances of the past decade. It presents the main ideas of modern liquid state theory in a way that is both pedagogical and self-contained. The book should be accessible to graduate students and research workers, both experimentalists and theorists, who have a good background in elementary mechanics. Compares theoretical deductions with experimental results Molecular dynamics Monte Carlo computations Covers ionic, metallic, and molecular liquids
Molecular Thermodynamics of Nonideal Fluids serves as an introductory presentation for engineers to the concepts and principles behind and the advances in molecular thermodynamics of nonideal fluids. The book covers related topics such as the laws of thermodynamics; entropy; its ensembles; the different properties of the ideal gas; and the structure of liquids. Also covered in the book are topics such as integral equation theories; theories for polar fluids; solution thermodynamics; and molecular dynamics. The text is recommended for engineers who would like to be familiarized with the concepts of molecular thermodynamics in their field, as well as physicists who would like to teach engineers the importance of molecular thermodynamics in the field of engineering.
Physical Chemistry: An Advanced Treatise: Liquid State, Volume VIIIA, deals with simple liquids because the theory is most developed for these liquids. The purpose of this treatise is to present a comprehensive treatment of physical chemistry for advanced students and investigators in a reasonably small number of volumes. An attempt has been made to include all important topics in physical chemistry together with borderline subjects which are of particular interest and importance. The book contains six chapters and begins with an introduction to intermolecular pair potential-energy functions, the principle of corresponding states, and the equation of state for dense liquids. It then discusses the static and dynamic structure of liquids, followed by separate chapters on the four main techniques in the theory of liquids: simulation studies, integral equation methods, lattice theories, and perturbation theories.
This short primer offers non-specialist readers a concise, yet comprehensive introduction to the field of classical fluids – providing both fundamental information and a number of selected topics to bridge the gap between the basics and ongoing research. In particular, hard-sphere systems represent a favorite playground in statistical mechanics, both in and out of equilibrium, as they represent the simplest models of many-body systems of interacting particles, and at higher temperature and densities they have proven to be very useful as reference systems for real fluids. Moreover, their usefulness in the realm of soft condensed matter has become increasingly recognized – for instance, the effective interaction among (sterically stabilized) colloidal particles can be tuned to almost perfectly match the hard-sphere model. These lecture notes present a brief, self-contained overview of equilibrium statistical mechanics of classical fluids, with special applications to both the structural and thermodynamic properties of systems made of particles interacting via the hard-sphere potential or closely related model potentials. In particular it addresses the exact statistical-mechanical properties of one-dimensional systems, the issue of thermodynamic (in)consistency among different routes in the context of several approximate theories, and the construction of analytical or semi-analytical approximations for the structural properties. Written pedagogically at the graduate level, with many figures, tables, photographs, and guided end-of-chapter exercises, this introductory text benefits students and newcomers to the field alike.
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.
This text is an introduction to current research on the N- vortex problem of fluid mechanics. It describes the Hamiltonian aspects of vortex dynamics as an entry point into the rather large literature on the topic, with exercises at the end of each chapter.
Distinguished work by two noted authorities covers static structure and thermodynamics, calculation of liquid structure from a law of force, binary fluids, charged fluids, much more. 1976 edition.