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Author: Duane C Wallace Publisher: World Scientific ISBN: 9814487805 Category : Science Languages : en Pages : 329
Book Description
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?
Author: Duane C Wallace Publisher: World Scientific ISBN: 9814487805 Category : Science Languages : en Pages : 329
Book Description
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?
Author: Santi Prestipino Publisher: Mdpi AG ISBN: 9783036515519 Category : Mathematics Languages : en Pages : 172
Book Description
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.
Author: Shankar Prasad Das Publisher: Cambridge University Press ISBN: 1139500678 Category : Science Languages : en Pages : 585
Book Description
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.
Author: P. G. de Gennes Publisher: Oxford University Press ISBN: 9780198517856 Category : Science Languages : en Pages : 620
Book Description
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.
Author: Yukio Saito Publisher: World Scientific ISBN: 9812386289 Category : Crystal growth Languages : en Pages : 191
Book Description
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. Contents: Introduction; Ideal Growth Laws; Statistical Mechanics of Surface; Kinetics-Limited Growth; Diffusion-Limited Growth: Pattern Formation; Appendices; References; Index. Readership: Condensed matter physicists.
Author: Peter S Pershan Publisher: World Scientific ISBN: 9814507504 Category : Science Languages : en Pages : 443
Book Description
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.
Author: P. M. Chaikin Publisher: Cambridge University Press ISBN: 1139643053 Category : Science Languages : en Pages : 724
Book Description
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.
Author: M. Baus Publisher: Springer Science & Business Media ISBN: 3540746315 Category : Science Languages : en Pages : 362
Book Description
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.
Author: Duane C Wallace
Author: Duane C Wallace
Author: Santi Prestipino
Author: Shankar Prasad Das
Author: P. G. de Gennes
Author: Yukio Saito
Author: Arnold Münster
Author: Peter S Pershan
Author: Arnold M]nster
Author: P. M. Chaikin
Author: M. Baus