A kinetic view of statistical physics /
"Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium statistical physics. It focuses on the development and application of theoretical methods to help students develop their problem-solving skills. The book begins with microscopic transport processes: di...
Clasificación: | Libro Electrónico |
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Autores principales: | , , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge ; New York :
Cambridge University Press,
2010.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover
- Half-Title
- Title
- Copyright
- Contents
- Preface
- Conventions
- 1 Aperitifs
- 1.1 Diffusion
- 1.2 Single-Species Annihilation/Coalescence
- 1.3 Two-Species Annihilation
- 1.4 Notes
- 2 Diffusion
- 2.1 The Probability Distribution
- 2.2 Central Limit Theorem
- 2.3 Walks With Broad Distributions
- 2.4 Application to Gravity: the Holtsmark Distribution
- 2.5 First-Passage Properties
- 2.6 Exit Probabilities and Exit Times
- 2.7 Reaction Rate Theory
- 2.8 The Langevin Approach
- 2.9 Application to Surface Growth
- 2.10 Notes
- 2.11 Problems
- 3 Collisions
- 3.1 Kinetic Theory
- 3.2 The Lorentz Gas
- 3.3 Lorentz Gas in An External Field
- 3.4 Collisional Impact
- 3.5 Maxwell Molecules and Very Hard Particles
- 3.6 Inelastic Gases
- 3.7 Ballistic Agglomeration
- 3.8 Single-Lane Traffic
- 3.9 Notes
- 3.10 Problems
- 4 Exclusion
- 4.1 Symmetric Exclusion Process
- 4.2 Asymmetric Exclusion Process
- 4.3 Hydrodynamic Approach
- 4.4 Microscopic Approach
- 4.5 Open Systems
- 4.6 Notes
- 4.7 Problems
- 5 Aggregation
- 5.1 The Master Equations
- 5.2 Exact Solution Methods
- 5.3 Gelation
- 5.4 Scaling
- 5.5 Aggregation With Input
- 5.6 Exchange-Driven Growth
- 5.7 Notes
- 5.8 Problems
- 6 Fragmentation
- 6.1 Binary Fragmentation
- 6.2 Planar Fragmentation
- 6.3 Reversible Polymerization
- 6.4 Collisional Fragmentation
- 6.5 Notes
- 6.6 Problems
- 7 Adsorption
- 7.1 Random Sequential Adsorption in One Dimension
- 7.2 Phase Space Structure
- 7.3 Adsorption in Higher Dimensions
- 7.4 Reversible Adsorption
- 7.5 Polymer Translocation
- 7.6 Notes
- 7.7 Problems
- 8 Spin Dynamics
- 8.1 Phenomenology of Coarsening
- 8.2 The Voter Model
- 8.3 Ising8211;Glauber Model
- 8.4 Mean-Field Approximation
- 8.5 Glauber Dynamics in One Dimension
- 8.6 Glauber Dynamics in Higher Dimensions
- 8.7 Spin-Exchange Dynamics
- 8.8 Cluster Dynamics
- 8.9 Notes
- 8.10 Problems
- 9 Coarsening
- 9.1 Models
- 9.2 Free Evolution
- 9.3 Case Studies in Non-Conservative Dynamics
- 9.4 Final States
- 9.5 Defects
- 9.6 Conservative Dynamics
- 9.7 Extremal Dynamics
- 9.8 Nucleation and Growth
- 9.9 Notes
- 9.10 Problems
- 10 Disorder
- 10.1 Disordered Spin Chain
- 10.2 Random Walk in a Random Potential
- 10.3 Random Walk in Random Velocity Fields
- 10.4 Notes
- 10.5 Problems
- 11 Hysteresis
- 11.1 Homogeneous Ferromagnets
- 11.2 Perturbation Analysis
- 11.3 Disordered Ferromagnets
- 11.4 Mean-Field Model
- 11.5 Hysteresis in the Random-Field Ising Chain
- 11.6 Notes
- 11.7 Problems
- 12 Population Dynamics
- 12.1 Continuum Formulation
- 12.2 Discrete Reactions
- 12.3 Small-Fluctuation Expansion
- T.