Statistical Physics Of Crystals And Liquids

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Statistical Physics of Crystals and Liquids

Author : Duane C Wallace
Publisher : World Scientific
Page : 328 pages
File Size : 51,8 Mb
Release : 2003-01-13
Category : Science
ISBN : 9789814487801

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Statistical Physics of Crystals and Liquids by Duane C Wallace Pdf

This important book presents a unified formulation from first principles of the Hamiltonian and statistical mechanics of metallic and insulating crystals, amorphous solids, and liquids. Extensive comparison of theory and experiment provides an accurate understanding of the statistical properties of phonons, electrons, and phonon–phonon and electron–phonon interactions in elemental crystals and liquids. Questions are posed along the following lines: What is the “best” theory for a given property? How accurate is a good theory? What information is gained by a comparison of theory and experiment? How accurate is a good experiment? Contents:Condensed Matter HamiltonianStatistical MechanicsLattice DynamicsStatistical Mechanics of CrystalsLiquid Dynamics and Statistical MechanicsPhase Transitions and Nonequilibrium Processes Readership: Researchers, academics and graduate students in condensed matter physics. Keywords:Condensed Matter Hamiltonian;Statistical Mechanics;Lattice Dynamics;Crystals;Liquid Dynamics;Phase Transitions;Metastable StatesReviews:“This is a valuable and clearly written book in an important area of condensed matter theory. There is extensive contact between theoretical predictions and experiments. For both students and young research workers there are useful collections of problems which lead to further insight into the area covered. Quantitative equations of state are given prominence.”Norman H March Oxford University “This is an authoritative account of the physics and thermodynamics behind an understanding of the equation of state. It concentrates on elements and the use of pseudopotential perturbation theory for the simple metals provides insight and a basis for computer simulations. The account combines careful theoretical analyses, and Local-Density-Theory results, with interpretation of the best experimental data available and may be unique in incorporating the liquid, as well as the crystalline state. The very complete set of problems included would make it very appropriate as the text for a general course on the equation of state.”Walt Harrison Stanford University “Whatever the author does, he does it first class. His book is something we use to gauge excellence in the field, and I have no doubt that this one will be no exception. But this book is different from other books he wrote. It is more personal in that he has not hesitated to express his personal views strongly, but in a scholarly fashion.”Y Horie Los Alamos National Laboratory “This is a book of condensed matter physics that gives equal emphasis to solids and liquids. The author focuses on the equation of state of the simple elements and reviews the methods for passing from the Hamiltonian through statistical mechanics to the equation of state of the solid and liquid and the computation of the melting curve. For the reader who wants an introduction to the capability of modern statistical physics for accurate prediction of thermodynamic functions, this is the book.”David Young Lawrence Livermore National Laboratory “This book, in my mind, represents an extremely powerful resource to any researcher working in condensed matter physics and especially equation of state theory. It is clear from 'Statistical Physics of Crystals and Liquids' that Dr Wallace has a special gift of taking complex physics concepts and explaining them with the greatest of clarity. His ability clearly distinguishes this book from those written by more novice authors … In summary, I believe this book should be highly marketed as I expect that there is a large condensed matter community that would benefit from reading it.”Brad Clements Los Alamos National Laboratory “The three investigated subjects, only fragments of which are covered in other textbooks and research treatises, make this book a very useful one for specialists in statistical mechanics and structure of matter.”Zentralblatt MATH “… the book comprises a brisk overview of solids that reaches timely topics of nonequilibrium processes … its structure lends itself well to being used as an instructional text in either an advanced undergraduate course or a graduate treatment of the subject … The review of statistical mechanics is straightforward to anyone with prior exposure to the subject, and is nearly complete … Wallace has done an excellent job of achieving the goals set out in the introduction of the book in a format that is clean and easy to read with a notation that is not confusing.”MRS Bulletin “This book covers ‘equation of state’ but also atomic dynamics. In these fields it offers a useful summary of methods and results, which prove how successful modern computational methods have become.”Contemporary Physics

Statistical Mechanics and Thermodynamics of Liquids and Crystals

Author : Santi Prestipino
Publisher : Mdpi AG
Page : 172 pages
File Size : 46,5 Mb
Release : 2021-09-30
Category : Mathematics
ISBN : 3036515518

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Statistical Mechanics and Thermodynamics of Liquids and Crystals by Santi Prestipino Pdf

This book is a printed edition of the Special Issue "Statistical Mechanics and Thermodynamics of Liquids and Crystals" that was published in Entropy (MDPI). The articles collected in the book deal with some topical trends in the statistical physics of condensed-matter systems. Such contributions provide an indication of the variety of problems that can arise in the study of strongly correlated particles, giving at the same time a representative account of the methods employed in this widespread field of research.

Statistical Thermodynamics

Author : Arnold Münster
Publisher : Springer
Page : 841 pages
File Size : 40,8 Mb
Release : 1974-08-30
Category : Science
ISBN : 3540063269

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Statistical Thermodynamics by Arnold Münster Pdf

Statistical Physics of Liquids at Freezing and Beyond

Author : Shankar Prasad Das
Publisher : Cambridge University Press
Page : 585 pages
File Size : 50,9 Mb
Release : 2011-06-16
Category : Science
ISBN : 9781139500678

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Statistical Physics of Liquids at Freezing and Beyond by Shankar Prasad Das Pdf

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 Thermodynamics

Author : Arnold M]nster,Arnold Muenster,V. S. Hall,(Scientific Translation Service) Scitran,SCITRAN Staff
Publisher : Unknown
Page : 841 pages
File Size : 50,8 Mb
Release : 1973-12-01
Category : Electronic
ISBN : 0387063269

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Statistical Thermodynamics by Arnold M]nster,Arnold Muenster,V. S. Hall,(Scientific Translation Service) Scitran,SCITRAN Staff Pdf

Structure of Liquid Crystal Phases

Author : P S Pershan
Publisher : World Scientific
Page : 440 pages
File Size : 52,9 Mb
Release : 1988-10-01
Category : Science
ISBN : 9789814507509

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Structure of Liquid Crystal Phases by P S Pershan Pdf

Current understanding of different phases as well as the phase transitions between them has only been achieved following recent theoretical advances on the effects of dimensionality in statistical physics. P S Pershan explains the connection between these two separate areas and gives some examples of problems where the understanding is still not complete. The most important example is the second order phase transition between the nematic and smectic-A phase. Others include the relation between the several hexatic phases that have been observed and the first order restacking transitions between phases that were all previously identified as smectic-B, but which should more properly be identified as crystalline-B. Some relatively recent experimental developments on the discotic phase, liquid crystal surfaces and lyotropic phases are also included. The book includes 41 major reprints of some of the recent seminal work on the structure of liquid crystals. They are introduced by a brief review of the symmetries and other properties of liquid crystalline phases. In addition, there is a discussion of the differences between true liquid crystalline phases and others that were described as liquid crystalline in the early literature, but which have since been shown to be true three-dimensional crystals. The progression from the isotropic fluid, through the nematic, smectic, and various crystalline phases can be understood in terms of a systematic decrease in symmetry, together with an accompanying variation in structure is explained. A guide to the selected reprints and a sort of “Rosetta Stone” for these various phases is provided. The goal of this book is to explain the systematics of this progression to students and others that are new to this field, as well as to provide a useful handbook for people already working in the field. Contents:Phase Transitions and Continuous Symmetry BreakingNon-Perturbative Quantization of Topological SolitonsGauge Theories, including (the Infrared Problem in) Quantum ElectrodynamicsTriviality of λφ4Random Geometry (Quantum Gravity and Strings)Low-Dimensional QFT: Two-Dimensional Conformal Field Theory, Three-Dimensional (Gauge) Theories Readership: Applied physicists, physicists and chemists.

Critical Phenomena in Liquids and Liquid Crystals

Author : Mikhail Alekseevich Anisimov
Publisher : CRC Press
Page : 452 pages
File Size : 52,9 Mb
Release : 1991
Category : Critical phenomena (Physics).
ISBN : 2881248063

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Critical Phenomena in Liquids and Liquid Crystals by Mikhail Alekseevich Anisimov Pdf

Phase transitions and critical phenomena in liquids and liquid crystals have been the subject of intensive research since the 1960s. However, books on this fascinating subject have tended to be written by theorists for theorists. Professor Anisimov offers us a new approach: he aims to introduce experimentalists to the modern theories and their applications. After introducing the thermodynamics of phase transitions, he presents the modern theory of critical phenomena. He then concludes by illustrating the utility of this theory in the analysis of experimental measurements in classical fluids and binary mixtures, superfluid mixtures of helium isotopes and liquid crystals. Not only will this book be enjoyed by experimental physicists, chemists and material scientists, it will also offer the theorist an insight into the interpretation of the experimentalist's work.

Equilibrium Statistical Physics

Author : M. Baus,Carlos F. Tejero
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 41,9 Mb
Release : 2007-11-15
Category : Science
ISBN : 9783540746324

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Equilibrium Statistical Physics by M. Baus,Carlos F. Tejero Pdf

This is a textbook which gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. The textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. All equations and deductions are included.

The Physics of Liquid Crystals

Author : P. G. de Gennes,J. Prost
Publisher : Oxford University Press
Page : 620 pages
File Size : 50,6 Mb
Release : 1993
Category : Science
ISBN : 0198517858

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The Physics of Liquid Crystals by P. G. de Gennes,J. Prost Pdf

This new edition of the classic text incorporates the many advances in knowledge about liquid crystals that have taken place since its initial publication in 1974. Entirely new chapters describe the types and properties of liquid crystals in terms of both recently discovered phases and current insight into the nature of local order and isotropic-to-nematic transition. There is an extensive discussion of the symmetrical, macroscopic, dynamic, and defective properties of smectics and columnar phases, with emphasis on order-of-magnitude considerations, all illustrated with numerous descriptions of experimental arrangements. The final chapter is devoted to phase transitions in smectics, including the celebrated analogy between smectic A and superconductors. This new version's topicality and breadth of coverage will ensure that it remains an indispensable guide for researchers and graduate students in mechanics and engineering, and in chemical, solid state, and statistical physics.

Equilibrium Statistical Physics

Author : Michael Plischke,Birger Bergersen
Publisher : World Scientific Publishing Company
Page : 640 pages
File Size : 52,8 Mb
Release : 2006-04-25
Category : Science
ISBN : 9789813102101

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Equilibrium Statistical Physics by Michael Plischke,Birger Bergersen Pdf

This third edition of one of the most important and best selling textbooks in statistical physics, is a graduate level text suitable for students in physics, chemistry, and materials science. The discussion of strongly interacting condensed matter systems has been expanded. A chapter on stochastic processes has also been added with emphasis on applications of the Fokker–Planck equation. The modern theory of phase transitions occupies a central place. The chapter devoted to the renormalization group approach is largely rewritten and includes a detailed discussion of the basic concepts and examples of both exact and approximate calculations. The development of the basic tools includes a chapter on computer simulations in which both Monte Carlo method and molecular dynamics are introduced, and a section on Brownian dynamics added. The theories are applied to a number of important systems such as liquids, liquid crystals, polymers, membranes, Bose condensation, superfluidity and superconductivity. There is also an extensive treatment of interacting Fermi and Bose systems, percolation theory and disordered systems in general.

Statistical Mechanics of Membranes and Surfaces

Author : D Nelson,T Piran,S Weinberg
Publisher : World Scientific
Page : 444 pages
File Size : 55,8 Mb
Release : 2004-06-14
Category : Science
ISBN : 9789814483223

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Statistical Mechanics of Membranes and Surfaces by D Nelson,T Piran,S Weinberg Pdf

' This invaluable book explores the delicate interplay between geometry and statistical mechanics in materials such as microemulsions, wetting and growth interfaces, bulk lyotropic liquid crystals, chalcogenide glasses and sheet polymers, using tools from the fields of polymer physics, differential geometry, field theory and critical phenomena. Several chapters have been updated relative to the classic 1989 edition. Moreover, there are now three entirely new chapters — on effects of anisotropy and heterogeneity, on fixed connectivity membranes and on triangulated surface models of fluctuating membranes. Contents: The Statistical Mechanics of Membranes and Interfaces (D R Nelson)Interfaces: Fluctuations, Interactions and Related Transitions (M E Fisher)Equilibrium Statistical Mechanics of Fluctuating Films and Membranes (S Leibler)The Physics of Microemulsions and Amphiphilic Monolayers (D Andelman)Properties of Tethered Surfaces (Y Kantor)Theory of the Crumpling Transition (D R Nelson)Geometry and Field Theory of Random Surfaces and Membranes (F David)Statistical Mechanics of Self-Avoiding Crumpled Manifolds (B Duplantier)Anisotropic and Heterogeneous Polymerized Membranes (L Radzihovsky)Fixed-Connectivity Membranes (M J Bowick)Triangulated-Surface Models of Fluctuating Membranes (G Gompper & D M Kroll) Readership: Condensed matter physicists, biophysicists, polymer scientists and statistical mechanicians. Keywords:Reviews:“The additional chapters added for the second edition highlight some of the new results (consequences of anisotropy), and place the older contributions in better perspective (renormalizability, connections to triangulated surfaces). The revised edition will serve as an even better introduction to this interesting topic at the intersection of geometry, field theory, and polymer physics.”Mehran Kardar Professor of Physics MIT “This is the book I used to get introduced into the field of the statistical mechanics of membranes and surfaces. I still use it and recommend it to my students and to anyone who is interested in this very exciting field. The different chapters describe detailed and clear mathematical developments, experimental presentations and high quality numerical work presented with superb clarity. This book, with its newest updated second edition, will remain as a reference textbook for many years to come.”Alex Travesset Iowa State University and Ames Laboratory “The first edition set the field of geometry and statistical mechanics in motion. This update, with added material, will be as important to researchers in this now burgeoning field as the original edition. The collection strikes an excellent balance between pedagogical review and current results and developments. This book should be on every theorist's shelf.”Professor Randall D Kamien University of Pennsylvania '

Simulation of Liquids and Solids

Author : Giovanni Ciccotti,Daan Frenkel,Ian Ranald McDonald
Publisher : North Holland
Page : 504 pages
File Size : 47,6 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015016072129

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Simulation of Liquids and Solids by Giovanni Ciccotti,Daan Frenkel,Ian Ranald McDonald Pdf

Principles of Condensed Matter Physics

Author : P. M. Chaikin,T. C. Lubensky
Publisher : Cambridge University Press
Page : 724 pages
File Size : 47,7 Mb
Release : 2000-09-28
Category : Science
ISBN : 9781139643054

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Principles of Condensed Matter Physics by P. M. Chaikin,T. C. Lubensky Pdf

Now in paperback, this book provides an overview of the physics of condensed matter systems. Assuming a familiarity with the basics of quantum mechanics and statistical mechanics, the book establishes a general framework for describing condensed phases of matter, based on symmetries and conservation laws. It explores the role of spatial dimensionality and microscopic interactions in determining the nature of phase transitions, as well as discussing the structure and properties of materials with different symmetries. Particular attention is given to critical phenomena and renormalization group methods. The properties of liquids, liquid crystals, quasicrystals, crystalline solids, magnetically ordered systems and amorphous solids are investigated in terms of their symmetry, generalised rigidity, hydrodynamics and topological defect structure. In addition to serving as a course text, this book is an essential reference for students and researchers in physics, applied physics, chemistry, materials science and engineering, who are interested in modern condensed matter physics.

Statistical Mechanics of Solids

Author : Louis A. Girifalco
Publisher : Oxford University Press
Page : 544 pages
File Size : 55,7 Mb
Release : 2000-09-21
Category : Science
ISBN : 9780198028116

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Statistical Mechanics of Solids by Louis A. Girifalco Pdf

This monograph, suitable for use as an advanced text, presents the statistical mechanics of solids from the perspective of the material properties of the solid state. The statistical mechanics are developed as a tool for understanding properties and each chapter includes useful exercises to illustrate the topics covered. Topics discussed include the theory of the harmonic crystal, the theory of free electrons in metal and semiconductors, electron transport, alloy ordering, surfaces and polymers.

Statistical Physics of Crystal Growth

Author : Yukio Saito
Publisher : World Scientific
Page : 191 pages
File Size : 45,6 Mb
Release : 1996
Category : Science
ISBN : 9789810228347

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Statistical Physics of Crystal Growth by Yukio Saito Pdf

This book gives a systematic overview on the scientific fundamentals of crystal growth from the classical phenomenological description to the recent theoretical contributions of statistical physics such as studies on surface roughening and on the pattern formation in the diffusion-limited growth.The book emphasizes physical concepts as well as mathematical details, and is intended to serve as lecture notes for postgraduate courses.