Fundamental Theory Of Liquids Method Of Distribution Functions
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Fundamental Theory of Liquids, Method of Distribution Functions by G. A. Martynov Pdf
This monograph concentrates on the statistical mechanics of fluid systems in equilibrium. The approach is classical. It shows how macroscopic properties of matter (structure, thermodynamic) can be calculated ab initio from knowledge of a few microscopic quantities. Dealing predominantly with liquids, the treatment of gases is included as a specific example. Accessible to both experimentalists & theorists, chapters can be referred to independently making this a useful handbook. A valuable monograph for postgraduate students & researchers in the fields of statistical physics, physical chemistry, chemical engineering & theoretical chemistry.
Theory of Simple Liquids by Jean-Pierre Hansen,I.R. McDonald Pdf
The third edition of Theory of Simple Liquids is an updated, advanced, but self-contained introduction to the principles of liquid-state theory. It presents the modern, molecular theory of the structural, thermodynamic interfacial and dynamical properties of the liquid phase of materials constituted of atoms, small molecules or ions. This book leans on concepts and methods form classical Statistical Mechanics in which theoretical predictions are systematically compared with experimental data and results from numerical simulations. The overall layout of the book is similar to that of the previous two editions however, there are considerable changes in emphasis and several key additions including: •up-to-date presentation of modern theories of liquid-vapour coexistence and criticality •areas of considerable present and future interest such as super-cooled liquids and the glass transition •the area of liquid metals, which has grown into a mature subject area, now presented as part of the chapter ionic liquids •Provides cutting-edge research in the principles of liquid-state theory •Includes frequent comparisons of theoretical predictions with experimental and simulation data •Suitable for researchers and post-graduates in the field of condensed matter science (Physics, Chemistry, Material Science), biophysics as well as those in the oil industry
Theory of Liquids and Other Disordered Media by Walter Schirmacher Pdf
This set of lectures provides an introduction to the structure, thermodynamics and dynamics of liquids, binary solutions and polymers at a level that will enable graduate students and non-specialist researchers to understand more specialized literature and to possibly start their own work in this field. Part I starts with the introduction of distribution functions, which describe the statistical arrangements of atoms or molecules in a simple liquid. The main concepts involve mean field theories like the Perkus-Yevick theory and the random phase approximation, which relate the forces to the distribution functions. In order to provide a concise, self-contained text, an understanding of the general statistical mechanics of an interacting many-body system is assumed. The fact that in a classic liquid the static and dynamic aspects of such a system can be discussed separately forms the basis of the two-fold structure of this approach. In order to allow polymer melts and solutions to be discussed, a short chapter acquaints readers with scaling concepts by discussing random walks and fractals. Part II of the lecture series is essentially devoted to the presentation of the dynamics of simple and complex liquids in terms of the generalized hydrodynamics concept, such as that introduced by Mori and Zwanzig. A special topic is a comprehensive introduction of the liquid-glass transition and its discussion in terms of a mode-coupling theory.
Small Systems and Fundamentals of Thermodynamics by Yu. K. Tovbin Pdf
Small systems are a very active area of research and development due to improved instrumentation that allows for spatial resolution in the range of sizes from one to 100 nm. In this size range, many physical and chemical properties change, which opens up new approaches to the study of substances and their practical application. This affects both traditional fields of knowledge and many other new fields including physics, chemistry, biology, etc. This book highlights new developments in statistical thermodynamics that answer the most important questions about the specifics of small systems - when one cannot apply equations or traditional thermodynamic models.
The Molecular Theory of Gases and Liquids by Joseph O. Hirschfelder,Charles F. Curtiss,R. Byron Bird Pdf
An essential cross-disciplinary reference for molecular interactions Molecular Theory of Gases and Liquids offers a rigorous, comprehensive treatment of molecular characteristics and behaviors in the gaseous and fluid states. A unique cross-disciplinary approach provides useful insight for students of chemistry, chemical engineering, fluid dynamics, and a variety of related fields, with thorough derivations and in-depth explanations throughout. Appropriate for graduate students and working scientists alike, this book details advanced concepts without sacrificing depth of coverage or technical detail.
Electroinduced Drift of Neutral Charge Clusters in Salt Solutions by Li Hunda,M. A. Kazaryan,I.V. Shamanin Pdf
Electroinduced Drift of Neutral Charge Clusters in Salt Solutions presents studies of the processes accompanying the effect of periodic electric and magnetic fields on salt solutions in polar dielectric liquids. The authors explain phenomena from a physical point of view, without theoretical constructions and mathematical calculations. This is done in order to make the book accessible to a wide audience and to help the reader navigate in a multilateral topic that is touched upon when studying processes that occur in liquid media under the external influence of an electromagnetic nature. Additional Features: Explores the phenomenon of selective drift of solvated ions in polar dielectric liquids Applies general principles of electricity and magnetism to describe experimental results Demonstrates how small perturbations of the equilibrium distribution determine not the corrections to the effects but the effects themselves Approaches nonequilibrium molecular physics as a science of physical and chemical processes This book will be useful to specialists, engineers and graduate students, especially those recording and transmitting information in liquid media.
Theory of Simple Liquids by Jean-Pierre Hansen,I.R. McDonald Pdf
Comprehensive coverage of topics in the theory of classical liquids Widely regarded as the standard text in its field, Theory of Simple Liquids gives an advanced but self-contained account of liquid state theory within the unifying framework provided by classical statistical mechanics. The structure of this revised and updated Fourth Edition is similar to that of the previous one but there are significant shifts in emphasis and much new material has been added. Major changes and Key Features in content include: Expansion of existing sections on simulation methods, liquid-vapour coexistence, the hierarchical reference theory of criticality, and the dynamics of super-cooled liquids. New sections on binary fluid mixtures, surface tension, wetting, the asymptotic decay of pair correlations, fluids in porous media, the thermodynamics of glasses, and fluid flow at solid surfaces. An entirely new chapter on applications to 'soft matter' of a combination of liquid state theory and coarse graining strategies, with sections on polymer solutions and polymer melts, colloidal dispersions, colloid-polymer mixtures, lyotropic liquid crystals, colloidal dynamics, and on clustering and gelation. Expansion of existing sections on simulation methods, liquid-vapour coexistence, the hierarchian reference of criticality, and the dynamics of super-cooled liquids. New sections on binary fluid mixtures, surface tension, wetting, the asymptotic decay of pair correlations, fluids in porous media, the thermodynamics of glasses, and fluid flow at solid surfaces. An entirely new chapter on applications to 'soft matter' of a combination of liquid state theory and coarse graining strategies, with sections on polymer solutions and polymer melts, colloidal dispersions, colloid-polymer mixtures, lyotropic liquid crystals, colloidal dynamics, and on clustering and gelation.
Electrostatic Effects in Soft Matter and Biophysics by Christian Holm,Patrick Kékicheff,Rudolf Podgornik Pdf
Soft Condensed Matter commonly deals with materials that are mechanically soft and, more importantly, particularly prone to thermal fluctuation effects. Charged soft matter systems are especially interesting: they can be manufactured artificially as polyelectrolytes to serve as superabsorbers in dypers, as flocculation and retention agents, as thickeners and gelling agents, and as oil-recovery process aids. They are also abundant in living organisms, mostly performing important structural (e.g. membranes) and functional (e.g. DNA) tasks. The book describes the many areas in soft matter and biophysics where electrostatic interactions play an important role. It offers in-depth coverage of recent theoretical approaches, advances in computer simulation, and novel experimental techniques. Readership: Advanced undergraduate level in physics, physical chemistry, and theoretical biochemistry.
An Introduction to the Liquid State by P Egelstaff Pdf
An Introduction to the Liquid State focuses on the atomic motions and positions of liquids. Particularly given importance in this book are internal motion of molecules as a whole and the motion of atoms in a monatomic liquid. Divided into 16 chapters, the book opens by outlining the general properties of liquids, including a comparison of liquid argon and liquid sodium, discussions on theories and methods of studying the liquid state, and thermodynamic relationships. The book proceeds by defining the molecular distribution functions and equation of state, the potential function for non-conducting liquids and metals, and measurement of pair distribution function. Numerical analyses and representations are provided to simplify the functions of equations. The book discusses equilibrium properties wherein calculations on the state of gases and fluids are presented. The text also underlines space and time dependent correlation functions. Given emphasis in this part are neutron scattering, electromagnetic radiation, and various radiation scattering techniques. Other concerns discussed are diffusion and single particle motion, velocity of correlation function, diffusion and viscosity coefficients, liquid-gas critical point, and a comparison of classical and quantum liquids. The selection is a valuable source of information for readers wanting to study the composition and reactions of liquids.
Classical Statistical Mechanics by G.A. Martynov Pdf
Statistical mechanics deals with systems in which chaos and randomness reign supreme. The current theory is therefore firmly based on the equations of classical mechanics and the postulates of probability theory. This volume seeks to present a unified account of classical mechanical statistics, rather than a collection of unconnected reviews on recent results. To help achieve this, one element is emphasised which integrates various parts of the prevailing theory into a coherent whole. This is the hierarchy of the BBGKY equations, which enables a relationship to be established between the Gibbs theory, the liquid theory, and the theory of nonequilibrium phenomena. As the main focus is on the complex theoretical subject matter, attention to applications is kept to a minimum. The book is divided into three parts. The first part describes the fundamentals of the theory, embracing chaos in dynamic systems and distribution functions of dynamic systems. Thermodynamic equilibrium, dealing with Gibbs statistical mechanics and the statistical mechanics of liquids, forms the second part. Lastly, the third part concentrates on kinetics, and the theory of nonequilibrium gases and liquids in particular. Audience: This book will be of interest to graduate students and researchers whose work involves thermophysics, theory of surface phenomena, theory of chemical reactions, physical chemistry and biophysics.
Multidimensional Solid-State NMR and Polymers by Klaus Schmidt-Rohr,Hans Wolfgang Spiess Pdf
NMR spectroscopy is the most valuable and versatile analytical tool in chemistry. While excellent monographs exist on high-resolution NMR in liquids and solids, this is the first book to address multidimensional solid-state NMR. Multidimensional techniques enable researchers to obtain detailed information about the structure, dynamics, orientation, and phase separation of solids, which provides the basis of a better understanding of materials properties on the molecular level.Dramatic progress-much of it pioneered by the authors-has been achieved in this area, especially in synthetic polymers. Solid-state NMR now favorably competes with well-established techniques, such as light, x-ray, or neutron scattering, electron microscopy, and dielectric and mechanical relaxation.The application of multidimensional solid-state NMR inevitably involves use of concepts from different fields of science. This book also provides the first comprehensive treatment of both the new experimental techniques and the theoretical concepts needed in more complex data analysis. The text addresses spectroscopists and polymer scientists by treating the subject on different levels; descriptive, technical, and mathematical approaches are used when appropriate. It presents an overview of new developments with numerous experimental examples and illustrations, which will appeal to readers interested in both the information content as well as the potential of solid-state NMR. The book also contains many previously unpublished details that will be appreciated by those who want to perform the experiments. The techniques described are applicable not only to the study of synthetic polymers but to numerous problems in solid-state physics, chemistry, materials science, and biophysics. Presents original theories and new perspectives on scattering techniques Provides a systematic treatment of the whole subject Gives readers access to previously unpublished material Includes extensive illustrations
Automatic Differentiation of Algorithms by George Corliss,Christele Faure,Andreas Griewank,Laurent Hascoet,Uwe Naumann Pdf
A survey book focusing on the key relationships and synergies between automatic differentiation (AD) tools and other software tools, such as compilers and parallelizers, as well as their applications. The key objective is to survey the field and present the recent developments. In doing so the topics covered shed light on a variety of perspectives. They reflect the mathematical aspects, such as the differentiation of iterative processes, and the analysis of nonsmooth code. They cover the scientific programming aspects, such as the use of adjoints in optimization and the propagation of rounding errors. They also cover "implementation" problems.
