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Computational multiscale modeling of fluids and solids : theory and applications / / Martin Oliver Steinhauser
| Computational multiscale modeling of fluids and solids : theory and applications / / Martin Oliver Steinhauser |
| Autore | Steinhauser M. O (Martin Oliver) |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
| Descrizione fisica | 1 online resource (450 pages) |
| Disciplina | 532 |
| Collana | Graduate Texts in Physics Ser. |
| Soggetto topico |
Fluids - Mathematical models
Solids - Mathematical models |
| ISBN |
9783030989545
9783030989538 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface to the Third Edition -- Preface to the Second Edition -- Preface to the First Edition in 2008 -- Contents -- Acronyms -- List of Algorithms -- List of Boxes -- blackPart I Fundamentals-1pt -- 1 Introduction to Multiscale Modeling -- 1.1 Physics on Different Length- and Timescales -- 1.1.1 Electronic/Atomic Scale -- 1.1.2 Atomic/Microscopic Scale -- 1.1.3 Microscopic/Mesoscopic Scale -- 1.1.4 Mesoscopic/Macroscopic Scale -- 1.2 What are Fluids and Solids? -- 1.3 The Objective of Experimental and Theoretical Physics -- 1.4 Computer Simulations-A Review -- 1.4.1 A Brief History of Computer Simulation -- 1.4.2 Computational Materials Science -- 1.5 Suggested Reading -- 2 Multiscale Computational Materials Science -- 2.1 Some Terminology -- 2.2 What is Computational Material Science on Multiscales? -- 2.2.1 Experimental Investigations on Different Length Scales -- 2.3 What is a Model? -- 2.3.1 The Scientific Method -- 2.4 Hierarchical Modeling Concepts Above the Atomic Scale -- 2.4.1 Example: Principle Model Hierarchies in Classical Mechanics -- 2.4.2 Structure-Property Paradigm -- 2.4.3 Physical and Mathematical Modeling -- 2.4.4 Numerical Modeling and Simulation -- 2.5 Unifications and Reductionism in Physical Theories -- 2.5.1 The Four Fundamental Interactions -- 2.5.2 The Standard Model -- 2.5.3 Symmetries, Fields, Particles and the Vacuum -- 2.5.4 Relativistic Wave Equations -- 2.5.5 Suggested Reading -- 2.6 Computer Science, Algorithms, Computability and Turing Machines -- 2.6.1 Recursion -- 2.6.2 Divide-and-Conquer -- 2.6.3 Local Search -- 2.6.4 Simulated Annealing and Stochastic Algorithms -- 2.6.5 Computability, Decidability and Turing Machines -- 2.6.6 Efficiency of Algorithms -- 3 Mathematical and Physical Prerequisites -- 3.1 Introduction -- 3.2 Sets and Set Operations -- 3.2.1 Cartesian Product, Product Set.
3.2.2 Functions and Linear Spaces -- 3.3 Topological Spaces -- 3.3.1 Charts -- 3.3.2 Atlas -- 3.3.3 Manifolds -- 3.3.4 Tangent Vectors and Tangent Space -- 3.3.5 Covectors, Cotangent Space and One-Forms -- 3.3.6 Dual Spaces -- 3.3.7 Tensors and Tensor Spaces -- 3.3.8 Affine Connections and Covariant Derivative -- 3.4 Metric Spaces and Metric Connection -- 3.5 Riemannian Manifolds -- 3.5.1 Riemannian Curvature -- 3.6 The Problem of Inertia and Motion: Coordinate Systems in Physics -- 3.6.1 The Special and General Principle of Relativity -- 3.6.2 The Structure of Spacetime -- 3.7 Relativistic Field Equations -- 3.7.1 Relativistic Hydrodynamics -- 3.8 Suggested Reading -- 4 Fundamentals of Numerical Simulation -- 4.1 Basics of Ordinary and Partial Differential Equations in Physics -- 4.1.1 Elliptic Type -- 4.1.2 Parabolic Type -- 4.1.3 Hyperbolic Type -- 4.2 Numerical Solution of Differential Equations -- 4.2.1 Mesh-Based and Mesh-Free Methods -- 4.2.2 Finite Difference Methods -- 4.2.3 Finite Volume Method -- 4.2.4 Finite Element Methods -- 4.3 Elements of Software Design -- 4.3.1 Software Design -- 4.3.2 Writing a Routine -- 4.3.3 Code-Tuning Strategies -- 4.3.4 Suggested Reading -- blackPart II Computational Methods on Multiscales-1pt -- 5 Computational Methods on Electronic/Atomistic Scale -- 5.1 Introduction -- 5.1.1 Scale Separation -- 5.2 Ab-Initio Methods -- 5.3 Physical Foundations of Quantum Theory -- 5.3.1 A Short Description of Quantum Theory -- 5.3.2 A Hamiltonian for a Condensed Matter System -- 5.3.3 The Born-Oppenheimer Approximation -- 5.4 Density Functional Theory -- 5.5 Car-Parinello Molecular Dynamics -- 5.5.1 Force Calculations: The Hellmann-Feynman Theorem -- 5.5.2 Calculating the Ground State -- 5.6 Solving Schrödinger's Equation for Many-Particle Systems: … -- 5.6.1 The Hartree-Fock Approximation. 5.7 What Holds a Solid Together? -- 5.7.1 Homonuclear Diatomic Molecules -- 5.8 Semi-empirical Methods -- 5.8.1 Tight-Binding Method -- 5.9 Bridging Scales: Quantum Mechanics (QM) - Molecular Mechanics (MM) -- 5.10 Concluding Remarks -- 6 Computational Methods on Atomistic/Microscopic Scale -- 6.1 Introduction -- 6.1.1 Thermodynamics and Statistical Ensembles -- 6.2 Fundamentals of Statistical Physics and Thermodynamics -- 6.2.1 Probabilities -- 6.2.2 Measurements and the Ergodic Hypotheses -- 6.2.3 Statistics in Phase Space and Statistical Ensembles -- 6.2.4 Virtual Ensembles -- 6.2.5 Entropy and Temperature -- 6.3 Classical Interatomic and Intermolecular Potentials -- 6.3.1 Charged Systems -- 6.3.2 Ewald Summation -- 6.3.3 The P3M Algorithm -- 6.3.4 Van der Waals Potential -- 6.3.5 Covalent Bonds -- 6.3.6 Embedded Atom Potentials -- 6.3.7 Pair Potentials -- 6.4 Classical Molecular Dynamics Simulations -- 6.4.1 Numerical Ingredients of MD Simulations -- 6.4.2 Integrating the Equations of Motion -- 6.4.3 Periodic Boundary Conditions -- 6.4.4 The Minimum Image Convention -- 6.4.5 Efficient Search Strategies for Interacting Particles -- 6.4.6 Making Measurements -- 6.5 Liquids, Soft Matter and Polymers -- 6.5.1 Bonded Interactions -- 6.5.2 Scaling and Universality of Polymers -- 6.6 Monte Carlo Simulations -- 7 Computational Methods on Mesoscopic/Macroscopic Scale -- 7.1 Example: Meso- and Macroscale Shock-Wave Experiments -- 7.2 Statistical Methods: Voronoi Tesselations and Power Diagrams for Modeling … -- 7.2.1 Reverse Monte Carlo Optimization -- 7.3 Dissipative Particle Dynamics -- 7.4 Ginzburg-Landau/Cahn-Hiliard Field Theoretic Mesoscale Simulation Method -- 7.5 Bridging Scales: Soft Particle Discrete Elements for Shock Wave Applications -- 7.6 Bridging Scales: Energetic Links Between MD and FEM -- 7.6.1 Bridging Scales: Work-Hardening. 7.7 Physical Theories for Macroscopic Phenomena: The Continuum Approach -- 7.7.1 The Description of Fluid Motion -- 7.8 Continuum Theory -- 7.8.1 The Continuum Hypothesis -- 7.9 Theory of Elasticity -- 7.9.1 Kinematic Equations -- 7.9.2 The Stress Tensor -- 7.9.3 Equations of Motion of the Theory of Elasticity -- 7.9.4 Constitutive Equations -- 7.10 Bridging Scale Application: Crack Propagation -- 8 Perspectives in Multiscale Materials Modeling -- A Further Reading -- A.1 Foundations of Physics -- A.2 Programming Techniques -- A.3 Journals and Conferences on Multiscale Materials Modeling and Simulation -- B Mathematical Definitions -- C Sample Code for the Main Routine in a MD Program -- D A Sample Makefile -- E Tables of Physical Constants -- E.1 International System of Units (SI or mksA System) -- E.2 Conversion Factors of Energy -- References -- Index. |
| Record Nr. | UNISA-996483071203316 |
Steinhauser M. O (Martin Oliver)
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| Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Journal of peridynamics and nonlocal modeling
| Journal of peridynamics and nonlocal modeling |
| Pubbl/distr/stampa | [Cham] : , : Springer, , 2019- |
| Descrizione fisica | 1 online resource |
| Disciplina |
530
620 |
| Soggetto topico |
Mechanics, Applied
Engineering mathematics Materials - Mathematical models Mechanics, Applied - Mathematics Solids - Mathematical models |
| Soggetto genere / forma |
Periodicals.
Zeitschrift |
| ISSN | 2522-8978 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | J peridyn nonlocal model |
| Record Nr. | UNINA-9910482004103321 |
| [Cham] : , : Springer, , 2019- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical analysis of the Fitzgerald apparatus / / by Donald R. Behrendt and James P. Cusick
| Mathematical analysis of the Fitzgerald apparatus / / by Donald R. Behrendt and James P. Cusick |
| Autore | Behrendt Donald R. |
| Pubbl/distr/stampa | Washington, D.C. : , : National Aeronautics and Space Administration, , March 1969 |
| Descrizione fisica | 1 online resource (ii, 17 pages) : illustrations |
| Collana | NASA technical note |
| Soggetto topico |
Solids - Testing - Equipment and supplies - Mathematical models
Solids - Mathematical models |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910713910503321 |
|
Behrendt Donald R.
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| Washington, D.C. : , : National Aeronautics and Space Administration, , March 1969 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Multiscale modeling in solid mechanics [[electronic resource] ] : computational approaches / / editors, Ugo Galvanetto, M.H. Ferri Aliabadi
| Multiscale modeling in solid mechanics [[electronic resource] ] : computational approaches / / editors, Ugo Galvanetto, M.H. Ferri Aliabadi |
| Pubbl/distr/stampa | London, : Imperial College |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 531.015118 |
| Altri autori (Persone) |
GalvanettoUgo
AliabadiM. H |
| Collana | Computational and experimental methods in structures |
| Soggetto topico |
Solids - Mathematical models
Solid state physics Mechanics Multiscale modeling |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-75981-7
9786612759819 1-84816-308-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Contributors; Computational Homogenisation for Non-Linear Heterogeneous Solids V. G. Kouznetsova, M. G. D. Geers and W. A. M. Brekelmans; 1. Introduction; 2. Basic Hypotheses; 3. Definition of the Problem on the Microlevel; 4. Coupling of the Macroscopic and Microscopic Levels; 4.1. Deformation; 4.2. Stress; 4.3. Internal work; 5. FE Implementation; 5.1. RVE boundary value problem; 5.1.1. Fully prescribed boundary displacements; 5.1.2. Periodic boundary conditions; 5.2. Calculation of the macroscopic stress; 5.2.1. Fully prescribed boundary displacements
5.2.2. Periodic boundary conditions5.3. Macroscopic tangent stiffness; 5.3.1. Condensation of the microscopic stiffness: Fully prescribed boundary displacements; 5.3.2. Condensation of the microscopic stiffness: Periodic boundary conditions; 5.3.3. Macroscopic tangent; 6. Nested Solution Scheme; 7. Computational Example; 8. Concept of an RVE within Computational Homogenisation; 9. Extensions of the Classical Computational Homogenisation Scheme; 9.1. Homogenisation towards second gradient continuum; 9.2. Computational homogenisation for beams and shells 9.3. Computational homogenisation for heat conduction problemsAcknowledgements; References; Two-Scale Asymptotic Homogenisation-Based Finite Element Analysis of Composite Materials Qi-Zhi Xiao and Bhushan Lal Karihaloo; 1. Introduction; 2. Mathematical Formulation of First- and Higher-Order Two-Scale Asymptotic Homogenisation; 2.1. Two-scale expansion; 2.2. O(ε.2) equilibrium: Solution structure of ui(0); 2.3. O(ε.1) equilibrium: First-order homogenisation and solution structure of u(1)m; 2.4. O(ε0) equilibrium: Second-order homogenisation; 2.4.1. Solution structure of u(2) 2.4.2. Solution of u(0) m2.4.3. Solution of ψmno k (y); 2.4.4. Constraints from higher-order solutions; 2.5. O(ε1) equilibrium: Third-order homogenisation; 2.5.1. Solution of u(3) k; 2.5.2. Constraints from higher-order terms; 3. Variational Formulation of Problem (29); 4. Finite Element Methods; 4.1. Displacement compatible elements from the potential principle; 4.2. Element-free Galerkin method from the potential principle; 4.2.1. MLS interpolant; 4.2.2. Imposition of the essential boundary conditions; 4.2.3. Discontinuity in the displacement field 4.2.4. Interfaces with discontinuous first-order derivatives4.3. Displacement incompatible element from the potential principle; 4.3.1. 2D 4-node incompatible element; 4.3.2. 3D 8-node incompatible element; 4.4. Hybrid stress elements from the Hellinger-Reissner principle; 4.4.1. Plane 4-node Pian and Sumihara (PS) 5β element; 4.4.2. 3D 8-node 18β hybrid stress element; 4.5. Enhanced-strain element based on the Hu-Washizu principle; 4.5.1. Plane 4-node enhanced-strain element; 4.5.2. 3D 8-node enhanced-strain element; 4.6. Comments on the various methods 5. Enforcing the Periodicity Boundary Condition and Constraints from Higher-Order Equilibrium in the Analysis of the RUC |
| Record Nr. | UNINA-9910455577203321 |
| London, : Imperial College | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiscale modeling in solid mechanics : computational approaches / / editors, Ugo Galvanetto, M.H. Ferri Aliabadi
| Multiscale modeling in solid mechanics : computational approaches / / editors, Ugo Galvanetto, M.H. Ferri Aliabadi |
| Pubbl/distr/stampa | London : , : Imperial College Press, , 2010 |
| Descrizione fisica | xiii, 334 pages; ; 24 cm |
| Altri autori (Persone) |
GalvanettoUgo
AliabadiM. H |
| Collana | Computational and experimental methods in structures |
| Soggetto topico |
Solids - Mathematical models
Solid state physics Mechanics Multiscale modeling |
| ISBN |
9781848163072
184816307X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Contributors; Computational Homogenisation for Non-Linear Heterogeneous Solids V. G. Kouznetsova, M. G. D. Geers and W. A. M. Brekelmans; 1. Introduction; 2. Basic Hypotheses; 3. Definition of the Problem on the Microlevel; 4. Coupling of the Macroscopic and Microscopic Levels; 4.1. Deformation; 4.2. Stress; 4.3. Internal work; 5. FE Implementation; 5.1. RVE boundary value problem; 5.1.1. Fully prescribed boundary displacements; 5.1.2. Periodic boundary conditions; 5.2. Calculation of the macroscopic stress; 5.2.1. Fully prescribed boundary displacements
5.2.2. Periodic boundary conditions5.3. Macroscopic tangent stiffness; 5.3.1. Condensation of the microscopic stiffness: Fully prescribed boundary displacements; 5.3.2. Condensation of the microscopic stiffness: Periodic boundary conditions; 5.3.3. Macroscopic tangent; 6. Nested Solution Scheme; 7. Computational Example; 8. Concept of an RVE within Computational Homogenisation; 9. Extensions of the Classical Computational Homogenisation Scheme; 9.1. Homogenisation towards second gradient continuum; 9.2. Computational homogenisation for beams and shells 9.3. Computational homogenisation for heat conduction problemsAcknowledgements; References; Two-Scale Asymptotic Homogenisation-Based Finite Element Analysis of Composite Materials Qi-Zhi Xiao and Bhushan Lal Karihaloo; 1. Introduction; 2. Mathematical Formulation of First- and Higher-Order Two-Scale Asymptotic Homogenisation; 2.1. Two-scale expansion; 2.2. O(ε.2) equilibrium: Solution structure of ui(0); 2.3. O(ε.1) equilibrium: First-order homogenisation and solution structure of u(1)m; 2.4. O(ε0) equilibrium: Second-order homogenisation; 2.4.1. Solution structure of u(2) 2.4.2. Solution of u(0) m2.4.3. Solution of ψmno k (y); 2.4.4. Constraints from higher-order solutions; 2.5. O(ε1) equilibrium: Third-order homogenisation; 2.5.1. Solution of u(3) k; 2.5.2. Constraints from higher-order terms; 3. Variational Formulation of Problem (29); 4. Finite Element Methods; 4.1. Displacement compatible elements from the potential principle; 4.2. Element-free Galerkin method from the potential principle; 4.2.1. MLS interpolant; 4.2.2. Imposition of the essential boundary conditions; 4.2.3. Discontinuity in the displacement field 4.2.4. Interfaces with discontinuous first-order derivatives4.3. Displacement incompatible element from the potential principle; 4.3.1. 2D 4-node incompatible element; 4.3.2. 3D 8-node incompatible element; 4.4. Hybrid stress elements from the Hellinger-Reissner principle; 4.4.1. Plane 4-node Pian and Sumihara (PS) 5β element; 4.4.2. 3D 8-node 18β hybrid stress element; 4.5. Enhanced-strain element based on the Hu-Washizu principle; 4.5.1. Plane 4-node enhanced-strain element; 4.5.2. 3D 8-node enhanced-strain element; 4.6. Comments on the various methods 5. Enforcing the Periodicity Boundary Condition and Constraints from Higher-Order Equilibrium in the Analysis of the RUC. |
| Record Nr. | UNINA-9910780730803321 |
| London : , : Imperial College Press, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Resonant mode analysis of the Fitzgerald apparatus / / by James P. Cusick and Donald R. Behrendt
| Resonant mode analysis of the Fitzgerald apparatus / / by James P. Cusick and Donald R. Behrendt |
| Autore | Cusick James P. |
| Pubbl/distr/stampa | Washington, D.C. : , : National Aeronautics and Space Administration, , March 1969 |
| Descrizione fisica | 1 online resource (ii, 20 pages) : illustrations |
| Collana | NASA technical note |
| Soggetto topico |
Solids - Testing - Equipment and supplies - Mathematical models
Solids - Mathematical models |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910713905203321 |
|
Cusick James P.
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||
| Washington, D.C. : , : National Aeronautics and Space Administration, , March 1969 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Statistical mechanics of solids / / Louis A. Girifalco
| Statistical mechanics of solids / / Louis A. Girifalco |
| Autore | Girifalco L. A (Louis A.) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Oxford : , : Oxford University Press, , 2023 |
| Descrizione fisica | 1 online resource (536 p.) |
| Disciplina | 530.4/1 |
| Collana |
Monographs on the physics and chemistry of materials
Oxford scholarship online |
| Soggetto topico |
Solids - Mathematical models
Statistical mechanics |
| ISBN |
0-19-773265-8
1-280-52982-2 9786610529827 0-19-802811-3 1-4294-0376-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 The Basics of Thermodynamics; 2 Principles of Statistical Mechanics; 3 Particle Statistics; 4 The Harmonic Crystal; 5 Anharmonic Properties and the Equation of State; 6 Free Electron Theory in Metals and Semiconductors; 7 Statistical-Kinetic Theory of Electron Transport; 8 Order-Disorder Alloys; 9 Magnetic Order; 10 Phase Equilibria; 11 Critical Exponents and the Renormalization Group; 12 Surfaces and Interfaces; 13 The Theory of Random Flight; 14 Linear Polymer Chains; 15 Vacancies and Interstitials in Monatomic Crystals; 16 Point Defects in Dilute Alloys
17 Diffusion in Simple CrystalsAppendix 1 Combinatorial Problems in Statistical Mechanics; Appendix 2 The Method of Undetermined Multipliers; Appendix 3 Stirling's Approximation; Appendix 4 Sums and Integrals; Appendix 5 Fermi Integrals; Appendix 6 Kirkwood's Second Moment; Appendix 7 The Generalized Lattice Gas; Appendix 8 Dyadics and Crystal Symmetry; Additional Readings; Index |
| Record Nr. | UNINA-9910968414203321 |
|
Girifalco L. A (Louis A.)
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| Oxford : , : Oxford University Press, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Statistical mechanics of solids [[electronic resource] /] / Louis A. Girifalco
| Statistical mechanics of solids [[electronic resource] /] / Louis A. Girifalco |
| Autore | Girifalco L. A (Louis A.) |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2000 |
| Descrizione fisica | 1 online resource (536 p.) |
| Disciplina | 530.4/1 |
| Collana | Monographs on the physics and chemistry of materials |
| Soggetto topico |
Solids - Mathematical models
Statistical mechanics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-52982-2
9786610529827 0-19-802811-3 1-4294-0376-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 The Basics of Thermodynamics; 2 Principles of Statistical Mechanics; 3 Particle Statistics; 4 The Harmonic Crystal; 5 Anharmonic Properties and the Equation of State; 6 Free Electron Theory in Metals and Semiconductors; 7 Statistical-Kinetic Theory of Electron Transport; 8 Order-Disorder Alloys; 9 Magnetic Order; 10 Phase Equilibria; 11 Critical Exponents and the Renormalization Group; 12 Surfaces and Interfaces; 13 The Theory of Random Flight; 14 Linear Polymer Chains; 15 Vacancies and Interstitials in Monatomic Crystals; 16 Point Defects in Dilute Alloys
17 Diffusion in Simple CrystalsAppendix 1 Combinatorial Problems in Statistical Mechanics; Appendix 2 The Method of Undetermined Multipliers; Appendix 3 Stirling's Approximation; Appendix 4 Sums and Integrals; Appendix 5 Fermi Integrals; Appendix 6 Kirkwood's Second Moment; Appendix 7 The Generalized Lattice Gas; Appendix 8 Dyadics and Crystal Symmetry; Additional Readings; Index |
| Record Nr. | UNINA-9910451692303321 |
|
Girifalco L. A (Louis A.)
|
||
| Oxford ; ; New York, : Oxford University Press, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Statistical mechanics of solids [[electronic resource] /] / Louis A. Girifalco
| Statistical mechanics of solids [[electronic resource] /] / Louis A. Girifalco |
| Autore | Girifalco L. A (Louis A.) |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2000 |
| Descrizione fisica | 1 online resource (536 p.) |
| Disciplina | 530.4/1 |
| Collana | Monographs on the physics and chemistry of materials |
| Soggetto topico |
Solids - Mathematical models
Statistical mechanics |
| ISBN |
0-19-773265-8
1-280-52982-2 9786610529827 0-19-802811-3 1-4294-0376-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 1 The Basics of Thermodynamics; 2 Principles of Statistical Mechanics; 3 Particle Statistics; 4 The Harmonic Crystal; 5 Anharmonic Properties and the Equation of State; 6 Free Electron Theory in Metals and Semiconductors; 7 Statistical-Kinetic Theory of Electron Transport; 8 Order-Disorder Alloys; 9 Magnetic Order; 10 Phase Equilibria; 11 Critical Exponents and the Renormalization Group; 12 Surfaces and Interfaces; 13 The Theory of Random Flight; 14 Linear Polymer Chains; 15 Vacancies and Interstitials in Monatomic Crystals; 16 Point Defects in Dilute Alloys
17 Diffusion in Simple CrystalsAppendix 1 Combinatorial Problems in Statistical Mechanics; Appendix 2 The Method of Undetermined Multipliers; Appendix 3 Stirling's Approximation; Appendix 4 Sums and Integrals; Appendix 5 Fermi Integrals; Appendix 6 Kirkwood's Second Moment; Appendix 7 The Generalized Lattice Gas; Appendix 8 Dyadics and Crystal Symmetry; Additional Readings; Index |
| Record Nr. | UNINA-9910777614503321 |
|
Girifalco L. A (Louis A.)
|
||
| Oxford ; ; New York, : Oxford University Press, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
