| Description |
1 online resource (488 pages) |
| Contents |
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 |
| Summary |
"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: diffusion, collision-driven phenomena, and exclusion. It then presents the kinetics of aggregation, fragmentation and adsorption, where the basic phenomenology and solution techniques are emphasized. The following chapters cover kinetic spin systems, both from a discrete and a continuum perspective, the role of disorder in non-equilibrium processes, hysteresis from the non-equilibrium perspective, the kinetics of chemical reactions, and the properties of complex networks. The book contains 200 exercises to test students' understanding of the subject. A link to a website hosted by the authors, containing supplementary material including solutions to some of the exercises, can be found at www.cambridge.org/9780521851039"-- Provided by publisher |
| Bibliography |
Includes bibliographical references (pages 471-482) and index |
| Notes |
Print version record |
| Subject |
Nonequilibrium statistical mechanics.
|
|
Statistical physics.
|
|
SCIENCE -- Physics -- General.
|
|
Nonequilibrium statistical mechanics
|
|
Statistical physics
|
|
Nichtgleichgewichtsstatistik
|
|
Kinetische Theorie
|
| Form |
Electronic book
|
| Author |
Redner, Sidney, 1951- author.
|
|
Ben-Naim, E. (Eli), author.
|
| ISBN |
9780511909825 |
|
0511909829 |
|
9780511907029 |
|
0511907028 |
|
9780511780516 |
|
0511780516 |
|
