Download or read book A Concise Course on the Theory of Classical Liquids written by Andrés Santos and published by Springer. This book was released on 2016-05-13 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Liquid Crystals and their Computer Simulations written by Claudio Zannoni and published by Cambridge University Press. This book was released on 2022-07-28 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to liquid crystals and their computer simulations suitable for students, researchers and industrial scientists.
Download or read book Fundamentals and Practice in Statistical Thermodynamics written by Jianzhong Wu and published by John Wiley & Sons. This book was released on 2024-07-17 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridge the gap between thermodynamic theory and engineering practice with this essential textbook Thermodynamics is a discipline which straddles the fields of chemistry, physics, and engineering, and has long been a mainstay of undergraduate and graduate curricula. Conventional thermodynamics courses, however, often ignore modern developments in statistical mechanics, such as molecular simulation methods, cooperative phenomena, phase transitions, universality, as well as liquid-state and polymer theories, despite their close relevance to both fundamental research and engineering practice. Fundamentals and Practice in Statistical Thermodynamics fills this gap with an essential book that applies up-to-date statistical-mechanical techniques to address the most crucial thermodynamics problems found in chemical and materials systems. It is ideally suited to introduce a new generation of researchers and molecular engineers to modern thermodynamic topics with numerous cutting-edge applications. From Fundamentals and Practice in Statistical Thermodynamics readers will also find: An introduction to statistical-mechanical methods including molecular dynamics simulation, Monte Carlo simulation, as well as the molecular theories of phase transitions, classical fluids, electrolyte solutions, polymeric materials, and more Illustrative examples and exercise problems with solutions to facilitate student understanding Supplementary online materials covering the basics of quantum mechanics, density functional theory, variational principles of classical mechanics, intermolecular interactions, and many more subjects Fundamentals and Practice in Statistical Thermodynamics is ideal for graduate and advanced undergraduate students in chemical engineering, biomolecular engineering, environmental engineering, materials science and engineering, and all related scientific subfields of physics and chemistry.
Download or read book Granular Gaseous Flows written by Vicente Garzó and published by Springer. This book was released on 2019-03-16 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Back Cover Text: This book addresses the study of the gaseous state of granular matter in the conditions of rapid flow caused by a violent and sustained excitation. In this regime, grains only touch each other during collisions and hence, kinetic theory is a very useful tool to study granular flows. The main difference with respect to ordinary or molecular fluids is that grains are macroscopic and so, their collisions are inelastic. Given the interest in the effects of collisional dissipation on granular media under rapid flow conditions, the emphasis of this book is on an idealized model (smooth inelastic hard spheres) that isolates this effect from other important properties of granular systems. In this simple model, the inelasticity of collisions is only accounted for by a (positive) constant coefficient of normal restitution. The author of this monograph uses a kinetic theory description (which can be considered as a mesoscopic description between statistical mechanics and hydrodynamics) to study granular flows from a microscopic point of view. In particular, the inelastic version of the Boltzmann and Enskog kinetic equations is the starting point of the analysis. Conventional methods such as Chapman-Enskog expansion, Grad’s moment method and/or kinetic models are generalized to dissipative systems to get the forms of the transport coefficients and hydrodynamics. The knowledge of granular hydrodynamics opens up the possibility of understanding interesting problems such as the spontaneous formation of density clusters and velocity vortices in freely cooling flows and/or the lack of energy equipartition in granular mixtures. Some of the topics covered in this monograph include: Navier-Stokes transport coefficients for granular gases at moderate densities Long-wavelength instability in freely cooling flows Non-Newtonian transport properties in granular shear flows Energy nonequipartition in freely cooling granular mixtures Diffusion in strongly sheared granular mixtures Exact solutions to the Boltzmann equation for inelastic Maxwell models
Download or read book Theory of Liquids and Other Disordered Media written by Walter Schirmacher and published by Springer. This book was released on 2014-08-19 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Theory of Simple Liquids written by Jean-Pierre Hansen and published by Academic Press. This book was released on 2013-08-12 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Theory of Liquids written by Kostya Trachenko and published by Cambridge University Press. This book was released on 2023-08-17 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of the three basic states of matter, liquid is perhaps the most complex. While its flow properties are described by fluid mechanics, its thermodynamic properties are often neglected, and for many years it was widely believed that a general theory of liquid thermodynamics was unattainable. In recent decades that view has been challenged, as new advances have finally enabled us to understand and describe the thermodynamic properties of liquids. This book explains the recent developments in theory, experiment and modelling that have enabled us to understand the behaviour of excitations in liquids and the impact of this behaviour on heat capacity and other basic properties. Presented in plain language with a focus on real liquids and their experimental properties, this book is a useful reference text for researchers and graduate students in condensed matter physics and chemistry as well as for advanced courses covering the theory of liquids.
Download or read book Fluid Dynamics written by Anatoly I. Ruban and published by OUP Oxford. This book was released on 2014-05-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book in a four-part series designed to give a comprehensive and coherent description of Fluid Dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. The present Part 1 consists of four chapters. Chapter 1 begins with a discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy. We then analyse the forces acting inside a fluid, and deduce the Navier-Stokes equations for incompressible and compressible fluids in Cartesian and curvilinear coordinates. In Chapter 2 we study the properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk. Chapter 3 is devoted to the inviscid incompressible flow theory, with particular focus on two-dimensional potential flows. These can be described in terms of the "complex potential", allowing the full power of the theory of functions of complex variables to be used. We discuss in detail the method of conformal mapping, which is then used to study various flows of interest, including the flows past Joukovskii aerofoils. The final Chapter 4 is concerned with compressible flows of perfect gas, including supersonic flows. Particular attention is given to the theory of characteristics, which is used, for example, to analyse the Prandtl-Meyer flow over a body surface bend and a corner. Significant attention is also devoted to the shock waves. The chapter concludes with analysis of unsteady flows, including the theory of blast waves.
Download or read book A General Kinetic Theory of Liquids written by Max Born and published by CUP Archive. This book was released on with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Equilibrium Theory of Classical Fluids written by Harry Lloyd Frisch and published by . This book was released on 1964 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fluid Mechanics written by L D Landau and published by Elsevier. This book was released on 2013-09-03 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid Mechanics, Second Edition deals with fluid mechanics, that is, the theory of the motion of liquids and gases. Topics covered range from ideal fluids and viscous fluids to turbulence, boundary layers, thermal conduction, and diffusion. Surface phenomena, sound, and shock waves are also discussed, along with gas flow, combustion, superfluids, and relativistic fluid dynamics. This book is comprised of 16 chapters and begins with an overview of the fundamental equations of fluid dynamics, including Euler's equation and Bernoulli's equation. The reader is then introduced to the equations of motion of a viscous fluid; energy dissipation in an incompressible fluid; damping of gravity waves; and the mechanism whereby turbulence occurs. The following chapters explore the laminar boundary layer; thermal conduction in fluids; dynamics of diffusion of a mixture of fluids; and the phenomena that occur near the surface separating two continuous media. The energy and momentum of sound waves; the direction of variation of quantities in a shock wave; one- and two-dimensional gas flow; and the intersection of surfaces of discontinuity are also also considered. This monograph will be of interest to theoretical physicists.
Download or read book Theory of Simple Liquids written by Jean-Pierre Hansen and published by Elsevier. This book was released on 2006-02-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book A History and Philosophy of Fluid Mechanics written by G. A. Tokaty and published by Courier Corporation. This book was released on 1994-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through the centuries, the intricacies of fluid mechanics — the study of the laws of motion and fluids in motion — have occupied many of history's greatest minds. In this pioneering account, a distinguished aeronautical scientist presents a history of fluid mechanics focusing on the achievements of the pioneering scientists and thinkers whose inspirations and experiments lay behind the evolution of such disparate devices as irrigation lifts, ocean liners, windmills, fireworks and spacecraft. The author first presents the basics of fluid mechanics, then explores the advances made through the work of such gifted thinkers as Plato, Aristotle, da Vinci, Galileo, Pascal, Newton, Bernoulli, Euler, Lagrange, Ernst Mach and other scientists of the 20th century. Especially important for its illuminating comparison of the development of fluid mechanics in the former Soviet Union with that in the West, the book concludes with studies of transsonic compressibility and aerodynamics, supersonic fluid mechanics, hypersonic gas dynamics and the universal matter-energy continuity. Professor G. A. Tokaty has headed the prestigious Aeronautical Research Laboratory at the Zhukovsky Academy of Aeronautics in Moscow, and has taught at the University of California, Los Angeles. He is Emeritus Professor of Aeronautics and Space Technology, The City University, London. 161 illustrations. Preface.
Download or read book Statistical Physics of Liquids at Freezing and Beyond written by Shankar Prasad Das and published by Cambridge University Press. This book was released on 2011-06-16 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring important theories for understanding freezing and the liquid-glass transition, this book is useful for graduate students and researchers in soft-condensed matter physics, chemical physics and materials science. It details recent ideas and key developments, providing an up-to-date view of current understanding. The standard tools of statistical physics for the dense liquid state are covered. The freezing transition is described from the classical density functional approach. Classical nucleation theory as well as applications of density functional methods for nucleation of crystals from the melt are discussed, and compared to results from computer simulation of simple systems. Discussions of supercooled liquids form a major part of the book. Theories of slow dynamics and the dynamical heterogeneities of the glassy state are presented, as well as nonequilibrium dynamics and thermodynamic phase transitions at deep supercooling. Mathematical treatments are given in full detail so readers can learn the basic techniques.
Download or read book Introduction to Liquid State Physics written by N H March and published by World Scientific Publishing Company. This book was released on 2002-08-15 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book provides an introduction to the liquid state. A qualitative description of liquid properties is first given, followed by detailed chapters on thermodynamics, liquid structure in relation to interaction forces and transport properties such as diffusion and viscosity. Treatment of complex fluids such as anisotropic liquid crystals and polymers, and of technically important topics such as non-Newtonian and turbulent flows, is included. Surface properties and characteristics of the liquid-vapour critical point are also discussed. While the book focuses on classical liquids, the final chapter deals with quantal fluids.
Download or read book An Introduction to the Statistical Theory of Classical Simple Dense Fluids written by G. H. A. Cole and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Simple Liquids written by Jean-Pierre Hansen and published by . This book was released on 1976 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an account of the theory of simple liquids. It emphasizes the comparison of theoretical deductions with experimental results, which includes the results of molecular dynamics "experiments" and Monte Carlo computations.
