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Theory and Simulation of Hard-Sphere Fluids and Related Systems

Theory and Simulation of Hard-Sphere Fluids and Related Systems
Author: Angel Mulero
Publisher: Springer
Total Pages: 568
Release: 2008-07-10
Genre: Science
ISBN: 3540787674

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Hard spheres and related objects (hard disks and mixtures of hard systems) are paradigmatic systems: indeed, they have served as a basis for the theoretical and numerical development of a number of fields, such as general liquids and fluids, amorphous solids, liquid crystals, colloids and granular matter, to name but a few. The present volume introduces and reviews some important basics and progress in the study of such systems. Their structure, thermodynamic properties, equations of state, as well as kinetic and transport properties are considered from different and complementary points of view. This book addresses graduate students, lecturers as well as researchers in statistical mechanics, physics of liquids, physical chemistry and chemical engineering.


Theory and Simulation of Hard-Sphere Fluids and Related Systems

Theory and Simulation of Hard-Sphere Fluids and Related Systems
Author: Angel Mulero
Publisher: Springer Science & Business Media
Total Pages: 568
Release: 2008-07-09
Genre: Science
ISBN: 3540787666

Download Theory and Simulation of Hard-Sphere Fluids and Related Systems Book in PDF, ePub and Kindle

Hard spheres and related objects (hard disks and mixtures of hard systems) are paradigmatic systems: indeed, they have served as a basis for the theoretical and numerical development of a number of fields, such as general liquids and fluids, amorphous solids, liquid crystals, colloids and granular matter, to name but a few. The present volume introduces and reviews some important basics and progress in the study of such systems. Their structure, thermodynamic properties, equations of state, as well as kinetic and transport properties are considered from different and complementary points of view. This book addresses graduate students, lecturers as well as researchers in statistical mechanics, physics of liquids, physical chemistry and chemical engineering.


Perturbation Theories for the Thermodynamic Properties of Fluids and Solids

Perturbation Theories for the Thermodynamic Properties of Fluids and Solids
Author: J. R. Solana
Publisher: CRC Press
Total Pages: 400
Release: 2013-03-22
Genre: Science
ISBN: 1439807760

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Perturbation theory forms an important basis for predicting the thermodynamic characteristics of real fluids and solids. This book provides a comprehensive review of current perturbation theories-as well as integral equation theories and density functional theories-for the equilibrium thermodynamic and structural properties of classical systems. Emphasizing practical applications, the book avoids complex theoretical derivations as much as possible. Appropriate for experienced researchers as well as postgraduate students, the text presents a wide-ranging yet detailed view and provides a useful guide to the application of the theories described.


Perturbation Theories for the Thermodynamic Properties of Fluids and Solids

Perturbation Theories for the Thermodynamic Properties of Fluids and Solids
Author: J. R. Solana
Publisher: CRC Press
Total Pages: 408
Release: 2013-03-22
Genre: Science
ISBN: 1439807752

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This book, Perturbation Theories for the Thermodynamic Properties of Fluids and Solids, provides a comprehensive review of current perturbation theories—as well as integral equation theories and density functional theories—for the equilibrium thermodynamic and structural properties of classical systems. Emphasizing practical applications, the text avoids complex theoretical derivations as much as possible. It begins with discussions of the nature of intermolecular forces and simple potential models. The book also presents a summary of statistical mechanics concepts and formulae. In addition, it reviews simulation techniques, providing background for the performance analyses of theories executed throughout the text using simulation data. Chapters describe integral equation theories, theoretical approaches for hard-sphere fluid or solid systems, and perturbation theories for simple fluids and solids for monocomponent and multicomponent systems. They also cover density functional theories for inhomogeneous systems and perturbative and nonperturbative approaches to describe the structure and thermodynamics of hard-body molecular fluids. The final chapter examines several more challenging systems, such as fluids near the critical point, liquid metals, molten salts, colloids, and aqueous protein solutions. This book offers a thorough account of the available equilibrium theories for the thermodynamic and structural properties of fluids and solids, with special focus on perturbation theories, emphasizing their applications, strengths, and weaknesses. Appropriate for experienced researchers as well as postgraduate students, the text presents a wide-ranging yet detailed view and provides a useful guide to the application of the theories described.


A Concise Course on the Theory of Classical Liquids

A Concise Course on the Theory of Classical Liquids
Author: Andrés Santos
Publisher: Springer
Total Pages: 299
Release: 2016-05-13
Genre: Science
ISBN: 331929668X

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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.


Thermodynamics and Statistical Mechanics of Small Systems

Thermodynamics and Statistical Mechanics of Small Systems
Author: Andrea Puglisi
Publisher: MDPI
Total Pages: 335
Release: 2018-09-04
Genre:
ISBN: 3038970573

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This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy


The Relationship Between the Hard Sphere Fluid and Fluids with Realistic Repulsive Forces

The Relationship Between the Hard Sphere Fluid and Fluids with Realistic Repulsive Forces
Author: John D. Weeks
Publisher:
Total Pages: 40
Release: 1971
Genre:
ISBN:

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The study considers the equilibrium statistical mechanics of classical fluids in which the potential energy is resolvable into repulsive pair interactions. A generalized cluster expansion is derived relating the thermodynamic and structural properties of such systems to those of the hard sphere fluid. The expansion is ordered by a softness parameter which is essentially the range of intermolecular distances in which the difference between the Mayer functions for the repulsive potential and an appropriate reference hard sphere potential is non-zero. The first (lowest order) approximation generated by the expansion equates the free energy and distribution function for the fluid to the respective functions appropriate to a system of hard spheres with diameter d. A prescription is given for choosing a temperature and density dependent diameter d of the reference hard sphere fluid so that the first approximation for the free energy contains errors of one order only. With this approximation, the results obtained for both model systems agree closely with those obtained by Monte Carlo calculations. (Author).


Statistical Physics and Spatial Statistics

Statistical Physics and Spatial Statistics
Author: Klaus R. Mecke
Publisher: Springer
Total Pages: 420
Release: 2008-01-11
Genre: Mathematics
ISBN: 3540450432

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Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.


Computer Simulation of Liquids

Computer Simulation of Liquids
Author: M. P. Allen
Publisher: Oxford University Press
Total Pages: 412
Release: 1989
Genre: Computers
ISBN: 9780198556459

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Computer simulation is an essential tool in studying the chemistry and physics of liquids. Simulations allow us to develop models and to test them against experimental data. This book is an introduction and practical guide to the molecular dynamics and Monte Carlo methods.