Statistical Mechanics for the Liquid State
Statistical Mechanics for the Liquid State

Author: Jean-Louis Bretonnet

Publisher: Cambridge Scholars Publishing

Published: 2020-09-18

Total Pages: 582

ISBN-13: 152755970X

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In a simple and accessible form, this book presents a unified approach to the physics of the liquid state, both in and out of equilibrium. It discerns, behind the seemingly anarchistic proliferation of phenomena observable in the liquid state, the sequence of causes and effects and, where appropriate, the underlying rules that preside over the general principles. The book begins by introducing the fundamental concepts of statistical mechanics, such as classical and quantum mechanics, probability theory, and the kinetic theory of gases, before moving on to discuss theoretical methods in order to contextualise the study of liquids. The last final section is devoted to ordering in complex fluids. It includes detailed technical notes and explicit calculations, and will appeal to graduate students in physics and chemistry. It will also be of interest the reader interested in statistical mechanics and their application to the physics of dense matter. This book will certainly become an indispensable reference for students and researchers who wish to become familiar with a multifaceted process looking towards new horizons.

Statistical Mechanics of Liquids and Solutions
Statistical Mechanics of Liquids and Solutions

Author: Roland Kjellander

Publisher: CRC Press

Published: 2019-07-30

Total Pages: 557

ISBN-13: 1482244047

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The statistical mechanical theory of liquids and solutions is a fundamental area of physical sciences with important implications for many industrial applications. This book shows how you can start from basic laws for the interactions and motions of microscopic particles and calculate how macroscopic systems of these particles behave, thereby explaining properties of matter at the scale that we perceive. Using this microscopic, molecular approach, the text emphasizes clarity of physical explanations for phenomena and mechanisms relevant to fluids, addressing the structure and behavior of liquids and solutions under various conditions. A notable feature is the author’s treatment of forces between particles that include nanoparticles, macroparticles, and surfaces. The book also provides an expanded, in-depth treatment of polar liquids and electrolytes.

Statistical Physics of Liquids at Freezing and Beyond
Statistical Physics of Liquids at Freezing and Beyond

Author: Shankar Prasad Das

Publisher: Cambridge University Press

Published: 2011-06-16

Total Pages: 585

ISBN-13: 1139500678

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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.

Statistical Mechanics of Nonequilibrium Liquids
Statistical Mechanics of Nonequilibrium Liquids

Author: Denis J. Evans

Publisher: ANU E Press

Published: 2007-08-01

Total Pages: 318

ISBN-13: 1921313234

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"There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other. Sometimes, the initiative for progress has been with the pragmatic requirements of computer simulation and at other times, the initiative has been with the fundamental theory of nonequilibrium processes. This book summarises progress in this field up to 1990"--Publisher's description.

Statistical Physics of Crystals and Liquids
Statistical Physics of Crystals and Liquids

Author: Duane C. Wallace

Publisher: World Scientific

Published: 2002

Total Pages: 329

ISBN-13: 9812381139

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Presents a unified formulation from first principles of the Hailtonian and statistical mechanics of metallic and insulating crystals, amorphous solids, and liquids.

Statistical Mechanics
Statistical Mechanics

Author: R.K. Pathria

Publisher: Elsevier

Published: 2017-02-21

Total Pages: 542

ISBN-13: 1483186881

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Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.

Statistical Physics of Fluids
Statistical Physics of Fluids

Author: V.I. Kalikmanov

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 266

ISBN-13: 3662045362

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The focus is on the main physical ideas and mathematical methods of the microscopic theory of fluids, starting with the basic principles of statistical mechanics. The detailed derivation of results is accompanied by explanation of their physical meaning. The same approach refers to several specialized topics of the liquid state, most of which are recent developments, such as: a perturbation approach to the surface tension, an algebraic perturbation theory of polar nonpolarizable fluids and ferrocolloids, a semi-phenomenological theory of the Tolman length and some others.

Theory of Simple Liquids
Theory of Simple Liquids

Author: Jean-Pierre Hansen

Publisher: Elsevier

Published: 1990-09-24

Total Pages: 569

ISBN-13: 0080571018

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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

An Introduction to Statistical Mechanics and Thermodynamics
An Introduction to Statistical Mechanics and Thermodynamics

Author: Robert H. Swendsen

Publisher: Oxford University Press

Published: 2012-03

Total Pages: 422

ISBN-13: 0199646945

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This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.

Statistical Mechanics of Lattice Systems
Statistical Mechanics of Lattice Systems

Author: Sacha Friedli

Publisher: Cambridge University Press

Published: 2017-11-23

Total Pages: 643

ISBN-13: 1107184827

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A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.