Statistical Mechanics of ElasticityCourier Corporation, 10. 2. 2012 - Počet stran: 496 An advanced treatment of elasticity from the atomistic viewpoint, this volume offers students and teachers a self-contained text. Its detailed development of the general principles of statistical mechanics leads to a concentration on the principles' application to the elastic behavior of solids. The first part is based solely on classical mechanics, starting with an introductory chapter that summarizes thermoelasticity from the continuum viewpoint. The principles of classical statistical mechanics are then developed and applied to the study of the thermoelastic behavior of both crystalline and polymeric solids. The second part is based on quantum mechanics, discussing their role in interatomic force laws, the manner in which quantum statistical effects modify the low-temperature mechanical behavior of solids, and the nature of quantum effects upon the rates of thermally activated processes. This book provides an alternative to the usual course in statistical mechanics, in which the major emphasis is on applications to gases, liquids, and electronic and magnetic phenomena. Graduate students of physics and chemistry will appreciate the treatment of the basic principles of classical statistical mechanics and quantum statistical mechanics, while polymer physicists will find the discussion of curvilinear coordinates, geometric constraints, and the distinction between rigid and flexible polymer models of particular interest. |
Obsah
| 3 | |
Chapter Two Concepts of Classical Statistical Mechanics | 49 |
Chapter Three Corresponding Concepts | 85 |
Chapter Four Crystal Elasticity | 127 |
Chapter Five Rubber Elasticity I | 185 |
Chapter Six Rubber Elasticity II | 211 |
Addendum Atomic View of Stress in Polymer Systems | A-1 |
Chapter Seven Rate Theory in Solids | 257 |
Chapter Eight Basic Concepts of Quantum Mechanics | 297 |
Chapter Nine Interatomic Interactions | 347 |
Chapter Ten Quantum Statistical Effects | 372 |
| 421 | |
| 431 | |
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adiabatic atomistic atoms basis behavior Bravais lattice canonical ensemble chain classical components computed consider constant continuum coordinate system corresponding covalent bonds crystal curvilinear coordinate deformation degrees of freedom denote density dependence derived described deviatoric displacement distribution function elastic moduli electron end-to-end entropy equation equilibrium example fixed flexible model force free energy Gaussian given by Eq Hamiltonian harmonic oscillator heat bath Helmholtz free energy impurity atoms independent integral interatomic kinematical lattice sites linear macroscopic matrix molecule momenta nonbonded nonbonded interactions normal notation pair particle partition function phase average phase function phase space polymer position potential energy probability distribution quantum mechanics reference configuration relation result rotation Schrödinger equation shown in Figure ſº solids statistical mechanics strain ensemble stress ensemble stress tensor temperature levels theorem theory thermal motion thermodynamic trajectory values variables vectors viewpoint volume weak interaction Weiner