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The Langevin and generalised Langevin approach to the dynamics of atomic, polymeric and colloidal systems /
Unifies many techniques which fall under the heading of the use of Stochastic (Random) Processes.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston :
Elsevier,
2006.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a Snook, Ian. | |
| 245 | 1 | 4 | |a The Langevin and generalised Langevin approach to the dynamics of atomic, polymeric and colloidal systems / |c Ian Snook. |
| 260 | |a Boston : |b Elsevier, |c 2006. | ||
| 300 | |a 1 online resource (xvi, 303 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Cover -- Copyright page -- Contents -- Preface -- Notation -- A. Potential Energy Functions -- B. Symbols Used -- C. Operations -- Chapter 1. Background, Mechanics and Statistical Mechanics -- 1.1 Background -- 1.2 The Mechanical Description of a System of Particles -- 1.3 Summary -- 1.4. Conclusions -- References -- Chapter 2. The Equation of Motion for a Typical Particle at Equilibrium:The Mori-Zwanzig Approach -- 2.1 The Projection Operator -- 2.2 The Generalised Langevin Equation -- 2.3 The Generalised Langevin Equation in Terms of the Velocity -- 2.4 Equation of Motion for the Velocity Autocorrelation Function -- 2.5 The Langevin Equation Derived from the Mori Approach: The Brownian Limit -- 2.6 Generalisation to any Set of Dynamical Variables -- 2.7 Memory Functions Derivation of Expressions for Linear Transport Coefficients -- 2.8 Correlation Function Expression for the Coefficient of Newtonian Viscosity -- 2.9 Summary -- 2.10 Conclusions -- References -- Chapter 3. Approximate Methods to Calculate Correlation Functions and Mori-Zwanzig Memory Functions -- 3.1 Taylor Series Expansion -- 3.2 Spectra -- 3.3 Mori?s Continued Fraction Method -- 3.4 Use of Information Theory -- 3.5 Perturbation Theories -- 3.6 Mode Coupling Theory -- 3.7 Macroscopic Hydrodynamic Theory -- 3.8 Memory Functions Calculated by the Molecular-Dynamics Method -- 3.9 Conclusions -- References -- Chapter 4. The Generalised Langevin Equation in Non-Equilibrium -- 4.1 Derivation of Generalised Langevin Equation in Non-Equilibrium -- 4.2 Langevin Equation for a Single Brownian Particle in a Shearing Fluid -- 4.3 Conclusions -- References -- Chapter 5. The Langevin Equation and the Brownian Limit -- 5.1 A Dilute Suspension -- One Large Particle in a Background -- 5.2 Many-Body Langevin Equation -- 5.3 Generalisation to Non-Equilibrium -- 5.4 The Fokker-Planck Equation and the Diffusive Limit -- 5.5 Approach to the Brownian Limit and Limitations -- 5.6 Summary -- 5.7 Conclusions -- References -- Chapter 6. Langevin and Generalised Langevin Dynamics -- 6.1 Extensions of the GLE to Collections of Particles -- 6.2 Numerical Solution of the Langevin Equation -- 6.3 Higher-Order BD Schemes for the Langevin Equation -- 6.4 Generalised Langevin Equation -- 6.5 Systems in an External Field -- 6.6 Boundary Conditions in Simulations -- 6.7 Conclusions -- References -- Chapter 7. Brownian Dynamics -- 7.1 Fundamentals -- 7.2 Calculation of Hydrodynamic Interactions -- 7.3 Alternative Approaches to Treat Hydrodynamic Interactions -- 7.4 Brownian Dynamics Algorithms -- 7.5 Brownian Dynamics in a Shear Field -- 7.6 Limitations of the BD Method -- 7.7 Alternatives to BD Simulations -- 7.8 Conclusions -- References -- Chapter 8. Polymer Dynamics -- 8.1 Toxvaerd Approach -- 8.2 Direct Use of Brownian Dynamics -- 8.3 Rigid Systems -- 8.4 Conclusions -- References -- Chapter 9. Theories Based on Distribution Functions, Master Equations and Stochastic Equations -- 9.1 Fokker-Planck Equation -- 9.2 The Diffusive Limit and the Smoluchowski Equation -- 9.3 Quantum Monte Carlo Method --T$74. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Unifies many techniques which fall under the heading of the use of Stochastic (Random) Processes. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Langevin equations. | |
| 650 | 0 | |a Brownian movements. | |
| 650 | 0 | |a Random dynamical systems. | |
| 650 | 0 | |a Physics. | |
| 650 | 2 | |a Physics | |
| 650 | 6 | |a Équations de Langevin. | |
| 650 | 6 | |a Mouvement brownien. | |
| 650 | 6 | |a Systèmes dynamiques aléatoires. | |
| 650 | 6 | |a Physique. | |
| 650 | 7 | |a physics. |2 aat | |
| 650 | 7 | |a Brownian movements |2 fast | |
| 650 | 7 | |a Langevin equations |2 fast | |
| 650 | 7 | |a Physics |2 fast | |
| 650 | 7 | |a Random dynamical systems |2 fast | |
| 655 | 7 | |a dissertations. |2 aat | |
| 655 | 7 | |a Academic theses |2 fast | |
| 655 | 7 | |a Academic theses. |2 lcgft | |
| 655 | 7 | |a Thèses et écrits académiques. |2 rvmgf | |
| 776 | 0 | 8 | |i Print version: |a Snook, Ian. |t Langevin and generalised Langevin approach to the dynamics of atomic, polymeric and colloidal systems. |d Boston : Elsevier, 2006 |w (DLC) 2006048964 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=283995 |z Texto completo |
| 938 | |a 123Library |b 123L |n 36186 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL283995 | ||
| 938 | |a ebrary |b EBRY |n ebr10158349 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 74716 | ||
| 994 | |a 92 |b IZTAP | ||