A Concise Course On The Theory Of Classical Liquids

Author : Andrés Santos
Publisher : Springer
Page : 271 pages
File Size : 54,8 Mb
Release : 2016-05-13
Category : Science
ISBN : 9783319296685

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A Concise Course on the Theory of Classical Liquids by Andrés Santos Pdf

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.

Author : Claudio Zannoni
Publisher : Cambridge University Press
Page : 703 pages
File Size : 46,8 Mb
Release : 2022-07-28
Category : Science
ISBN : 9781108424059

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Liquid Crystals and their Computer Simulations by Claudio Zannoni Pdf

A comprehensive introduction to liquid crystals and their computer simulations suitable for students, researchers and industrial scientists.

Author : Walter Schirmacher
Publisher : Springer
Page : 167 pages
File Size : 53,8 Mb
Release : 2014-08-19
Category : Science
ISBN : 9783319069500

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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.

Author : Vicente Garzó
Publisher : Springer
Page : 394 pages
File Size : 51,6 Mb
Release : 2019-03-16
Category : Science
ISBN : 9783030044442

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Granular Gaseous Flows by Vicente Garzó Pdf

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

Author : Jean-Pierre Hansen,I.R. McDonald
Publisher : Academic Press
Page : 637 pages
File Size : 44,5 Mb
Release : 2013-08-12
Category : Science
ISBN : 9780123870339

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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.

Author : Kostya Trachenko
Publisher : Cambridge University Press
Page : 227 pages
File Size : 55,9 Mb
Release : 2023-08-17
Category : Science
ISBN : 9781009355506

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Theory of Liquids by Kostya Trachenko Pdf

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.

Author : Harry Lloyd Frisch,Joel Louis Lebowitz
Publisher : Unknown
Page : 544 pages
File Size : 42,5 Mb
Release : 1964
Category : Kinetic theory of liquids
ISBN : UOM:39015001331043

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The Equilibrium Theory of Classical Fluids by Harry Lloyd Frisch,Joel Louis Lebowitz Pdf

Author : Max Born,Herbert S. Green
Publisher : CUP Archive
Page : 116 pages
File Size : 51,7 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 8210379456XXX

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A General Kinetic Theory of Liquids by Max Born,Herbert S. Green Pdf

Author : Jean-Pierre Hansen,I.R. McDonald
Publisher : Elsevier
Page : 428 pages
File Size : 41,7 Mb
Release : 2006-02-08
Category : Science
ISBN : 0080455077

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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

Author : G. A. Tokaty
Publisher : Courier Corporation
Page : 292 pages
File Size : 40,7 Mb
Release : 1994-01-01
Category : Technology & Engineering
ISBN : 0486681033

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A History and Philosophy of Fluid Mechanics by G. A. Tokaty Pdf

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.

Author : Pierre Marie Victor Résibois
Publisher : Unknown
Page : 412 pages
File Size : 47,6 Mb
Release : 1977
Category : Kinetic theory of gases
ISBN : OCLC:251684090

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Classical Kinetic Theory of Fluids by Pierre Marie Victor Résibois Pdf

Author : Anatoliĭ Ivanovich Ruban,Jitesh S. B. Gajjar
Publisher : Oxford University Press, USA
Page : 329 pages
File Size : 55,6 Mb
Release : 2014
Category : Science
ISBN : 9780199681730

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Fluid Dynamics by Anatoliĭ Ivanovich Ruban,Jitesh S. B. Gajjar Pdf

This text is designed to give a comprehensive and coherent description of classical fluid dynamics which is suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. Topics includeed in this text are: A discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy ; 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 ; Inviscid incompressible flow theory, with particular focus on two-dimensional potential flows ; Compressible flows of perfect gas, including supersonic flows.

Author : Claudia Prévôt,Michael Röckner
Publisher : Springer
Page : 148 pages
File Size : 51,5 Mb
Release : 2007-05-26
Category : Mathematics
ISBN : 9783540707813

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A Concise Course on Stochastic Partial Differential Equations by Claudia Prévôt,Michael Röckner Pdf

These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to analyze SPDE: the "martingale measure approach", the "mild solution approach" and the "variational approach". The purpose of these notes is to give a concise and as self-contained as possible an introduction to the "variational approach". A large part of necessary background material is included in appendices.

Author : Chia-Shun Yih
Publisher : Unknown
Page : 622 pages
File Size : 48,6 Mb
Release : 1988
Category : Electronic
ISBN : OCLC:954495362

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Fluid Mechanics by Chia-Shun Yih Pdf

Author : G. H. A. Cole
Publisher : Pergamon
Page : 306 pages
File Size : 41,6 Mb
Release : 1967
Category : Science
ISBN : UOM:39015006076528

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An Introduction to the Statistical Theory of Classical Simple Dense Fluids by G. H. A. Cole Pdf

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. interp ...