Thermodynamics of Order-disorder Phenomena PDF Download
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Author: H. S. Green
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
This report is a development of the paper dealing with the solution of the Association Problem (AP). The method of AP is applicable to a wide class of problems in statistical mechanics, concerning the thermodynamic equilibrium of homogeneous systems. These include crystalline solids, where there is naturally a lattice structure at the microscopic level, but also homogeneous fluids, which can be treated by the cell-cluster theory. The present report is particularly concerned with applications to the thermodynamics of order-disorder transitions, such as occur at the Curie point in ferromagnetic media. The purpose of the repost is to show how the matrix-spinor method can be applied to solve the two-dimensional Ising problem. It is impossible to present a complete reduction of the problem. In some places intuitive reasoning substitutes for mathematical rigor. (Author).
Author: H. S. Green
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
This report is a development of the paper dealing with the solution of the Association Problem (AP). The method of AP is applicable to a wide class of problems in statistical mechanics, concerning the thermodynamic equilibrium of homogeneous systems. These include crystalline solids, where there is naturally a lattice structure at the microscopic level, but also homogeneous fluids, which can be treated by the cell-cluster theory. The present report is particularly concerned with applications to the thermodynamics of order-disorder transitions, such as occur at the Curie point in ferromagnetic media. The purpose of the repost is to show how the matrix-spinor method can be applied to solve the two-dimensional Ising problem. It is impossible to present a complete reduction of the problem. In some places intuitive reasoning substitutes for mathematical rigor. (Author).
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Author: Herbert S. Green
Publisher:
ISBN:
Category :
Languages : en
Pages : 363
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Book Description
Author: Herbert Sydney GREEN (and HURST (Charles Angas))
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Keith Frye
Publisher: Springer Science & Business Media
ISBN: 0879331844
Category : Science
Languages : en
Pages : 532
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Book Description
The Encyclopedia of Mineralogy provides comprehensive, basic treatment of the science of mineralogy. More than 140 articles by internationally known scholars and research workers describe specific areas of mineralogical interest, and a glossary of 3000 entries defines all valid mineral species and many related mineral names. In addition to traditional topics - descriptions of major structural groups, methods of mineral analysis, and the paragenesis of mineral species - this volume embraces such subjects as asbestiform minerals, minerals found in caves and in living beings, and gems and gemology. It includes current data on the latest in our geological inventories - lunar minerals. It describes the properties, characteristics, and uses of industrial resources such as abrasive materials and Portland cement. A directory will guide traveling mineralogists to the major mineralogical museums of the world, with their special interests noted. Clear technical illustrations supplement the text throughout. To help the student and professional find particular information there are a comprehensive subject index, extensive cross-references of related topics (whether in this volume or others in the series), and reference lists to background information and detailed advanced treatment of all topics. The Encyclopedia of Mineralogy is a valuable reference and source for professionals in all geological sciences, for science teachers at all levels, for collectors and `rock hounds', and for all who are curious about the minerals on earth or those brought back from outer space.
Author: Yurij Holovatch
Publisher: World Scientific
ISBN: 9789812565440
Category : Science
Languages : en
Pages : 312
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Book Description
This book is the second volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first volume in 2004. Broadly, the volume aims to demonstrate that the phase transition theory, which experienced its ''golden age'' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.The topics presented in this volume include: critical behavior as explained by the non-perturbative renormalization group, critical dynamics, a spacetime approach to phase transitions, self-organized criticality, and exactly solvable models of phase transitions in strongly correlated systems. As the first volume, this book is based on the review lectures that were given in Lviv (Ukraine) at the OC Ising lecturesOCO OCo a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject."
Author: Herbert S. Green
Publisher:
ISBN:
Category : Crystal lattices
Languages : en
Pages : 382
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Book Description
Author: Green
Publisher:
ISBN: 9780470324769
Category :
Languages : en
Pages : 363
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Book Description
Author: Yurij Holovatch
Publisher: World Scientific
ISBN: 9814417904
Category : Science
Languages : en
Pages : 248
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Book Description
This book is the third volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first two volumes in 2004 and in 2007. Broadly, the book aims to demonstrate that the phase transition theory, which experienced its ‘golden age’ during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.This volume presents a broad spectrum of problems connected with criticality. It covers its theoretical backgrounds, analytical approaches and numerical simulations to describe criticality in specific systems (ionic fluids, diluted magnets, polymers), as well as phase transitions on complex networks and in the minority game model. As the first two volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject.
Author: Minoru Fujimoto
Publisher: Springer Science & Business Media
ISBN: 1441966889
Category : Science
Languages : en
Pages : 238
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Book Description
Originated from studies on steam engines, thermodynamics is formulated traditi- ally for homogeneous materials. Applying to condensed matters however, laws of thermodynamics have to be evaluated with respect to the structural detail. Foll- ing after Kirkwood’s chemical thermodynamics, the author’s attempt is to discuss lattice dynamics in crystalline states in light of the traditional laws. It is noted that lattice symmetry remains as implicit in crystalline states if assumed as homo- neous, whereas deformed crystals with disrupted symmetry are not necessarily stable and inhomogeneous, exhibiting mesoscopic properties. In this context, the lattice dynamics in uniform crystalline states should accordingly be revised. Although mostly presumptive in the literature, such attempts should be formulated with fundamental principles for modern thermodynamics. I have selected structural changes and superconducting transitions for this book to discuss as basic pheno- na in crystals in thermal environment. Born and Huang have laid ground for thermodynamics of crystalline states in their book Dynamical Theory of Crystal Lattices. They assumed, however, that order– disorder phenomena were independent from the lattice dynamics, and hence excluded from their book. On the other hand, new evidence indicates that the problem must be treated otherwise; the lattice does play a vital role in ordering processes. Accordingly, I was motivated to write about physics of crystal lattice in the light of Born–Huang’s principles, which constitutes my primary objective in this book.
Author: Mário J. de Oliveira
Publisher: Springer Science & Business Media
ISBN: 3642365493
Category : Science
Languages : en
Pages : 391
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Book Description
This textbook provides an exposition of equilibrium thermodynamics and its applications to several areas of physics with particular attention to phase transitions and critical phenomena. The applications include several areas of condensed matter physics and include also a chapter on thermochemistry. Phase transitions and critical phenomena are treated according to the modern development of the field, based on the ideas of universality and on the Widom scaling theory. For each topic, a mean-field or Landau theory is presented to describe qualitatively the phase transitions. These theories include the van der Waals theory of the liquid-vapor transition, the Hildebrand-Heitler theory of regular mixtures, the Griffiths-Landau theory for multicritical points in multicomponent systems, the Bragg-Williams theory of order-disorder in alloys, the Weiss theory of ferromagnetism, the Néel theory of antiferromagnetism, the Devonshire theory for ferroelectrics and Landau-de Gennes theory of liquid crystals. This textbook is intended for students in physics and chemistry and provides a unique combination of thorough theoretical explanation and presentation of applications in both areas. Chapter summaries, highlighted essentials and problems with solutions enable a self sustained approach and deepen the knowledge.
