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Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover
| Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover |
| Autore | Hoover William G (William Graham), <1936-> |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (315 p.) |
| Disciplina | 531 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Mechanics, Analytic
Mechanics, Applied - Mathematical models Particle methods (Numerical analysis) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-92449-0
9786611924492 981-277-288-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Dedication and Motivation ; Preface ; 1. Physical Ideas Underlying SPAM ; 1.1 Motivation and Summary ; 1.2 Particles versus Continua ; 1.3 Newton's Particle Mechanics ; 1.4 Eulerian and Lagrangian Continuum Mechanics ; 1.5 Computer Simulation of Microscopic Particle Motion
1.6 Liouville's Theorem Statistical Mechanics ; 1.7 Simulating Continua with Particles ; 1.8 SPAM [ Smooth Particle Applied Mechanics ] ; 1.9 Example: A Molecular Dynamics Simulation ; 1.10 References ; 2. Continuum Mechanics ; 2.1 Summary and Scope of Continuum Mechanics 2.2 Evolution Equations for Fluids and Solids 2.3 Initial and Boundary Conditions ; 2.4 Constitutive Equations for Equilibrium Fluids ; 2.5 Constitutive Relations for Nonequilibrium Fluids ; 2.6 Artificial Viscosity and Conductivity ; 2.7 Constitutive Relations for Elastic Solids 2.8 Constitutive Relation for Nonequilibrium Plasticity 2.9 Plasticity Algorithm ; 2.10 Example: Heat Conduction in One Dimension ; 2.11 Example: Sound Propagation in One Dimension ; 2.12 Example: Rayleigh-Benard Flow in Two Dimensions ; 2.13 References ; 3. Smooth Particle Methods 3.1 Summary 3.2 Motivation ; 3.3 Basic Equations ; 3.4 Interpolation on an Irregular Grid ; 3.5 Alternative Averages: [ f0 f1 f2 ... ] ; 3.6 Weight Functions ; 3.7 Continuity Equation from V.v with SPAM ; 3.8 Evaluating the Spatial Derivatives {Vp V.P V.Q} 3.9 SPAM Equation of Motion and Energy Equation |
| Record Nr. | UNINA-9910451553503321 |
Hoover William G (William Graham), <1936->
|
||
| Singapore, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover
| Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover |
| Autore | Hoover William G (William Graham), <1936-> |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (315 p.) |
| Disciplina | 531 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Mechanics, Analytic
Mechanics, Applied - Mathematical models Particle methods (Numerical analysis) |
| ISBN |
1-281-92449-0
9786611924492 981-277-288-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Dedication and Motivation ; Preface ; 1. Physical Ideas Underlying SPAM ; 1.1 Motivation and Summary ; 1.2 Particles versus Continua ; 1.3 Newton's Particle Mechanics ; 1.4 Eulerian and Lagrangian Continuum Mechanics ; 1.5 Computer Simulation of Microscopic Particle Motion
1.6 Liouville's Theorem Statistical Mechanics ; 1.7 Simulating Continua with Particles ; 1.8 SPAM [ Smooth Particle Applied Mechanics ] ; 1.9 Example: A Molecular Dynamics Simulation ; 1.10 References ; 2. Continuum Mechanics ; 2.1 Summary and Scope of Continuum Mechanics 2.2 Evolution Equations for Fluids and Solids 2.3 Initial and Boundary Conditions ; 2.4 Constitutive Equations for Equilibrium Fluids ; 2.5 Constitutive Relations for Nonequilibrium Fluids ; 2.6 Artificial Viscosity and Conductivity ; 2.7 Constitutive Relations for Elastic Solids 2.8 Constitutive Relation for Nonequilibrium Plasticity 2.9 Plasticity Algorithm ; 2.10 Example: Heat Conduction in One Dimension ; 2.11 Example: Sound Propagation in One Dimension ; 2.12 Example: Rayleigh-Benard Flow in Two Dimensions ; 2.13 References ; 3. Smooth Particle Methods 3.1 Summary 3.2 Motivation ; 3.3 Basic Equations ; 3.4 Interpolation on an Irregular Grid ; 3.5 Alternative Averages: [ f0 f1 f2 ... ] ; 3.6 Weight Functions ; 3.7 Continuity Equation from V.v with SPAM ; 3.8 Evaluating the Spatial Derivatives {Vp V.P V.Q} 3.9 SPAM Equation of Motion and Energy Equation |
| Record Nr. | UNINA-9910784969003321 |
|
Hoover William G (William Graham), <1936->
|
||
| Singapore, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover
| Smooth particle applied mechanics [[electronic resource] ] : the state of the art / / William Graham Hoover |
| Autore | Hoover William G (William Graham), <1936-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (315 p.) |
| Disciplina | 531 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Mechanics, Analytic
Mechanics, Applied - Mathematical models Particle methods (Numerical analysis) |
| ISBN |
1-281-92449-0
9786611924492 981-277-288-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Dedication and Motivation ; Preface ; 1. Physical Ideas Underlying SPAM ; 1.1 Motivation and Summary ; 1.2 Particles versus Continua ; 1.3 Newton's Particle Mechanics ; 1.4 Eulerian and Lagrangian Continuum Mechanics ; 1.5 Computer Simulation of Microscopic Particle Motion
1.6 Liouville's Theorem Statistical Mechanics ; 1.7 Simulating Continua with Particles ; 1.8 SPAM [ Smooth Particle Applied Mechanics ] ; 1.9 Example: A Molecular Dynamics Simulation ; 1.10 References ; 2. Continuum Mechanics ; 2.1 Summary and Scope of Continuum Mechanics 2.2 Evolution Equations for Fluids and Solids 2.3 Initial and Boundary Conditions ; 2.4 Constitutive Equations for Equilibrium Fluids ; 2.5 Constitutive Relations for Nonequilibrium Fluids ; 2.6 Artificial Viscosity and Conductivity ; 2.7 Constitutive Relations for Elastic Solids 2.8 Constitutive Relation for Nonequilibrium Plasticity 2.9 Plasticity Algorithm ; 2.10 Example: Heat Conduction in One Dimension ; 2.11 Example: Sound Propagation in One Dimension ; 2.12 Example: Rayleigh-Benard Flow in Two Dimensions ; 2.13 References ; 3. Smooth Particle Methods 3.1 Summary 3.2 Motivation ; 3.3 Basic Equations ; 3.4 Interpolation on an Irregular Grid ; 3.5 Alternative Averages: [ f0 f1 f2 ... ] ; 3.6 Weight Functions ; 3.7 Continuity Equation from V.v with SPAM ; 3.8 Evaluating the Spatial Derivatives {Vp V.P V.Q} 3.9 SPAM Equation of Motion and Energy Equation |
| Record Nr. | UNINA-9910810093003321 |
|
Hoover William G (William Graham), <1936->
|
||
| Singapore, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Time reversability, computer simulation, algorithms, chaos [[electronic resource] /] / William Graham Hoover, Carol Griswold Hoover
| Time reversability, computer simulation, algorithms, chaos [[electronic resource] /] / William Graham Hoover, Carol Griswold Hoover |
| Autore | Hoover William G (William Graham), <1936-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (426 p.) |
| Disciplina | 536.701 |
| Altri autori (Persone) | HooverCarol Griswold |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Irreversible processes
Thermodynamics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-60361-9
9786613784308 981-4383-17-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Preface to the First Edition; Contents; Glossary of Technical Terms; 1. Time Reversibility, Computer Simulation, Algorithms, Chaos; 1.1 Microscopic Reversibility; Macroscopic Irreversibility; 1.2 Time Reversibility of Irreversible Processes; 1.3 Classical Microscopic and Macroscopic Simulation; 1.4 Continuity, Information, and Bit Reversibility; 1.5 Instability and Chaos; 1.6 Simple Explanations of Complex Phenomena; 1.7 The Paradox: Irreversibility from Reversible Dynamics; 1.8 Algorithm: Fourth-Order Runge-Kutta Integrator; 1.9 Example Problems; 1.9.1 Equilibrium Baker Map
1.9.2 Equilibrium Galton Board1.9.3 Equilibrium Hookean Pendulum; 1.9.4 Nose-Hoover Oscillator with a Temperature Gradient; 1.10 Summary and Notes; 1.10.1 Notes and References; 2. Time-Reversibility in Physics and Computation; 2.1 Introduction; 2.2 Time Reversibility; 2.3 Levesque and Verlet's Bit-Reversible Algorithm; 2.4 Lagrangian and Hamiltonian Mechanics; 2.5 Liouville's Incompressible Theorem; 2.6 What Is Macroscopic Thermodynamics?; 2.7 First and Second Laws of Thermodynamics; 2.8 Temperature, Zeroth Law, Reservoirs, Thermostats 2.9 Irreversibility from Stochastic Irreversible Equations2.10 Irreversibility from Time-Reversible Equations?; 2.11 An Algorithm Implementing Bit-Reversible Dynamics; 2.12 Example Problems; 2.12.1 Time-Reversible Dissipative Map; 2.12.2 A Smooth-Potential Galton Board; 2.13 Summary; 2.13.1 Notes and References; 3. Gibbs' Statistical Mechanics; 3.1 Scope and History; 3.2 Formal Structure of Gibbs' Statistical Mechanics; 3.3 Initial Conditions, Boundary Conditions, Ergodicity; 3.4 From Hamiltonian Dynamics to Gibbs' Probability; 3.5 From Gibbs' Probability to Thermodynamics 3.6 Pressure and Energy from Gibbs' Canonical Ensemble3.7 Gibbs' Entropy versus Boltzmann's Entropy; 3.8 Number-Dependence and Thermodynamic Fluctuations; 3.9 Green and Kubo's Linear-Response Theory; 3.10 An Algorithm for Local Smooth-Particle Averages; 3.11 Example Problems; 3.11.1 Quasiharmonic Thermodynamics; 3.11.2 Hard-Disk and Hard-Sphere Thermodynamics; 3.11.3 Time-Reversible Confined Free Expansion; 3.12 Summary; 3.12.1 Notes and References; 4. Irreversibility in Real Life; 4.1 Introduction; 4.2 Phenomenology - the Linear Dissipative Laws 4.3 Microscopic Basis of the Irreversible Linear Laws4.4 Solving the Linear Macroscopic Equations; 4.5 Nonequilibrium Entropy Changes; 4.6 Fluctuations and Nonequilibrium States; 4.7 Deviations from the Phenomenological Linear Laws; 4.8 Causes of Irreversibility a la Boltzmann and Lyapunov; 4.9 Rayleigh-Benard Algorithm with Atomistic Flow; 4.10 Rayleigh-Benard Algorithm for a Continuum; 4.11 Three Rayleigh-Benard Example Problems; 4.11.1 Rayleigh-Benard Flow via Lorenz' Attractor; 4.11.2 Rayleigh-Benard Flow with Continuum Mechanics; 4.11.3 Rayleigh-Benard Flow with Molecular Dynamics 4.12 Summary |
| Record Nr. | UNINA-9910461792503321 |
|
Hoover William G (William Graham), <1936->
|
||
| Hackensack, N.J., : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Time reversability, computer simulation, algorithms, chaos [[electronic resource] /] / William Graham Hoover, Carol Griswold Hoover
| Time reversability, computer simulation, algorithms, chaos [[electronic resource] /] / William Graham Hoover, Carol Griswold Hoover |
| Autore | Hoover William G (William Graham), <1936-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (426 p.) |
| Disciplina | 536.701 |
| Altri autori (Persone) | HooverCarol Griswold |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Irreversible processes
Thermodynamics |
| ISBN |
1-281-60361-9
9786613784308 981-4383-17-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Preface to the First Edition; Contents; Glossary of Technical Terms; 1. Time Reversibility, Computer Simulation, Algorithms, Chaos; 1.1 Microscopic Reversibility; Macroscopic Irreversibility; 1.2 Time Reversibility of Irreversible Processes; 1.3 Classical Microscopic and Macroscopic Simulation; 1.4 Continuity, Information, and Bit Reversibility; 1.5 Instability and Chaos; 1.6 Simple Explanations of Complex Phenomena; 1.7 The Paradox: Irreversibility from Reversible Dynamics; 1.8 Algorithm: Fourth-Order Runge-Kutta Integrator; 1.9 Example Problems; 1.9.1 Equilibrium Baker Map
1.9.2 Equilibrium Galton Board1.9.3 Equilibrium Hookean Pendulum; 1.9.4 Nose-Hoover Oscillator with a Temperature Gradient; 1.10 Summary and Notes; 1.10.1 Notes and References; 2. Time-Reversibility in Physics and Computation; 2.1 Introduction; 2.2 Time Reversibility; 2.3 Levesque and Verlet's Bit-Reversible Algorithm; 2.4 Lagrangian and Hamiltonian Mechanics; 2.5 Liouville's Incompressible Theorem; 2.6 What Is Macroscopic Thermodynamics?; 2.7 First and Second Laws of Thermodynamics; 2.8 Temperature, Zeroth Law, Reservoirs, Thermostats 2.9 Irreversibility from Stochastic Irreversible Equations2.10 Irreversibility from Time-Reversible Equations?; 2.11 An Algorithm Implementing Bit-Reversible Dynamics; 2.12 Example Problems; 2.12.1 Time-Reversible Dissipative Map; 2.12.2 A Smooth-Potential Galton Board; 2.13 Summary; 2.13.1 Notes and References; 3. Gibbs' Statistical Mechanics; 3.1 Scope and History; 3.2 Formal Structure of Gibbs' Statistical Mechanics; 3.3 Initial Conditions, Boundary Conditions, Ergodicity; 3.4 From Hamiltonian Dynamics to Gibbs' Probability; 3.5 From Gibbs' Probability to Thermodynamics 3.6 Pressure and Energy from Gibbs' Canonical Ensemble3.7 Gibbs' Entropy versus Boltzmann's Entropy; 3.8 Number-Dependence and Thermodynamic Fluctuations; 3.9 Green and Kubo's Linear-Response Theory; 3.10 An Algorithm for Local Smooth-Particle Averages; 3.11 Example Problems; 3.11.1 Quasiharmonic Thermodynamics; 3.11.2 Hard-Disk and Hard-Sphere Thermodynamics; 3.11.3 Time-Reversible Confined Free Expansion; 3.12 Summary; 3.12.1 Notes and References; 4. Irreversibility in Real Life; 4.1 Introduction; 4.2 Phenomenology - the Linear Dissipative Laws 4.3 Microscopic Basis of the Irreversible Linear Laws4.4 Solving the Linear Macroscopic Equations; 4.5 Nonequilibrium Entropy Changes; 4.6 Fluctuations and Nonequilibrium States; 4.7 Deviations from the Phenomenological Linear Laws; 4.8 Causes of Irreversibility a la Boltzmann and Lyapunov; 4.9 Rayleigh-Benard Algorithm with Atomistic Flow; 4.10 Rayleigh-Benard Algorithm for a Continuum; 4.11 Three Rayleigh-Benard Example Problems; 4.11.1 Rayleigh-Benard Flow via Lorenz' Attractor; 4.11.2 Rayleigh-Benard Flow with Continuum Mechanics; 4.11.3 Rayleigh-Benard Flow with Molecular Dynamics 4.12 Summary |
| Record Nr. | UNINA-9910790329903321 |
|
Hoover William G (William Graham), <1936->
|
||
| Hackensack, N.J., : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Time reversability, computer simulation, algorithms, chaos [[electronic resource] /] / William Graham Hoover, Carol Griswold Hoover
| Time reversability, computer simulation, algorithms, chaos [[electronic resource] /] / William Graham Hoover, Carol Griswold Hoover |
| Autore | Hoover William G (William Graham), <1936-> |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (426 p.) |
| Disciplina | 536.701 |
| Altri autori (Persone) | HooverCarol Griswold |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Irreversible processes
Thermodynamics |
| ISBN |
1-281-60361-9
9786613784308 981-4383-17-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Preface to the First Edition; Contents; Glossary of Technical Terms; 1. Time Reversibility, Computer Simulation, Algorithms, Chaos; 1.1 Microscopic Reversibility; Macroscopic Irreversibility; 1.2 Time Reversibility of Irreversible Processes; 1.3 Classical Microscopic and Macroscopic Simulation; 1.4 Continuity, Information, and Bit Reversibility; 1.5 Instability and Chaos; 1.6 Simple Explanations of Complex Phenomena; 1.7 The Paradox: Irreversibility from Reversible Dynamics; 1.8 Algorithm: Fourth-Order Runge-Kutta Integrator; 1.9 Example Problems; 1.9.1 Equilibrium Baker Map
1.9.2 Equilibrium Galton Board1.9.3 Equilibrium Hookean Pendulum; 1.9.4 Nose-Hoover Oscillator with a Temperature Gradient; 1.10 Summary and Notes; 1.10.1 Notes and References; 2. Time-Reversibility in Physics and Computation; 2.1 Introduction; 2.2 Time Reversibility; 2.3 Levesque and Verlet's Bit-Reversible Algorithm; 2.4 Lagrangian and Hamiltonian Mechanics; 2.5 Liouville's Incompressible Theorem; 2.6 What Is Macroscopic Thermodynamics?; 2.7 First and Second Laws of Thermodynamics; 2.8 Temperature, Zeroth Law, Reservoirs, Thermostats 2.9 Irreversibility from Stochastic Irreversible Equations2.10 Irreversibility from Time-Reversible Equations?; 2.11 An Algorithm Implementing Bit-Reversible Dynamics; 2.12 Example Problems; 2.12.1 Time-Reversible Dissipative Map; 2.12.2 A Smooth-Potential Galton Board; 2.13 Summary; 2.13.1 Notes and References; 3. Gibbs' Statistical Mechanics; 3.1 Scope and History; 3.2 Formal Structure of Gibbs' Statistical Mechanics; 3.3 Initial Conditions, Boundary Conditions, Ergodicity; 3.4 From Hamiltonian Dynamics to Gibbs' Probability; 3.5 From Gibbs' Probability to Thermodynamics 3.6 Pressure and Energy from Gibbs' Canonical Ensemble3.7 Gibbs' Entropy versus Boltzmann's Entropy; 3.8 Number-Dependence and Thermodynamic Fluctuations; 3.9 Green and Kubo's Linear-Response Theory; 3.10 An Algorithm for Local Smooth-Particle Averages; 3.11 Example Problems; 3.11.1 Quasiharmonic Thermodynamics; 3.11.2 Hard-Disk and Hard-Sphere Thermodynamics; 3.11.3 Time-Reversible Confined Free Expansion; 3.12 Summary; 3.12.1 Notes and References; 4. Irreversibility in Real Life; 4.1 Introduction; 4.2 Phenomenology - the Linear Dissipative Laws 4.3 Microscopic Basis of the Irreversible Linear Laws4.4 Solving the Linear Macroscopic Equations; 4.5 Nonequilibrium Entropy Changes; 4.6 Fluctuations and Nonequilibrium States; 4.7 Deviations from the Phenomenological Linear Laws; 4.8 Causes of Irreversibility a la Boltzmann and Lyapunov; 4.9 Rayleigh-Benard Algorithm with Atomistic Flow; 4.10 Rayleigh-Benard Algorithm for a Continuum; 4.11 Three Rayleigh-Benard Example Problems; 4.11.1 Rayleigh-Benard Flow via Lorenz' Attractor; 4.11.2 Rayleigh-Benard Flow with Continuum Mechanics; 4.11.3 Rayleigh-Benard Flow with Molecular Dynamics 4.12 Summary |
| Record Nr. | UNINA-9910811233003321 |
|
Hoover William G (William Graham), <1936->
|
||
| Hackensack, N.J., : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||