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Kinetic View of Statistical Physics [Hardback]

4.25/5 (15 ratings by Goodreads)
(Boston University), (Boston University), (Los Alamos National Laboratory)
  • Formāts: Hardback, 504 pages, height x width x depth: 254x195x25 mm, weight: 1240 g, Worked examples or Exercises; 20 Halftones, black and white; 105 Line drawings, black and white
  • Izdošanas datums: 18-Nov-2010
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 0521851033
  • ISBN-13: 9780521851039
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  • Hardback
  • Cena: 98,93 €
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  • Formāts: Hardback, 504 pages, height x width x depth: 254x195x25 mm, weight: 1240 g, Worked examples or Exercises; 20 Halftones, black and white; 105 Line drawings, black and white
  • Izdošanas datums: 18-Nov-2010
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 0521851033
  • ISBN-13: 9780521851039
Citas grāmatas par šo tēmu:
"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.

Provided by publisher.

Recenzijas

'Non-equilibrium statistical mechanics has so many applications and is strewn with so many different tricks and treats that the only way to teach the subject is through examples. Krapivsky, Redner, and Ben-Naim have written a beautiful book that elegantly covers several of these examples, some classic, others at the boundaries of research. Their target readership is physicists and applied mathematicians, but includes computer scientists, biologists and engineers. Methinks that good students in economics would be well advised to read some chapters of this book, for I am convinced that several breakthroughs in their field will hinge upon concepts and methods from non-equilibrium statistical mechanics.' J. P. Bouchaud, Chairman of Capital Fund Management (Paris) and Statistical Mechanics Professor at Ecole Polytechnique 'Our understanding of nonequilibrium statistical physics and complex systems has advanced at a rapid pace over the past decade, but so far there has been a lack of comprehensive textbooks suited to introduce graduate students into the field. This wonderful book fills this need in an admirable way. Written in the uniquely elegant and accessible style that also characterizes the authors' original scientific work, the book takes the reader gently from the most elementary concepts to the forefront of current research. The topics and their level of presentation are carefully chosen, and they are complemented by a large number of instructive exercises. A particularly nice feature is the highlighted boxes which introduce specific mathematical techniques where they are needed. I am certain that this book will be used as a standard text in graduate courses for a long time to come.' Joachim Krug, University of Cologne 'This is an excellent pedagogical introduction to a broad variety of modern topics in nonequilibrium statistical physics. It includes discussions on fundamental processes in nature such as diffusion, collision, aggregation and fragmentation but also covers applied topics such as population dynamics and evolution of networks. The text is lucid with plenty of examples and exercises - a must read for a graduate student wanting to work in this area.' Satya Majumdar, CNRS, Université de Paris-Sud 'One can learn a lot from this book [ it] is a most useful collection of methods to treat nonlinear physical systems. It presents a large number of topical models investigated together with their analytic treatments.' Contemporary Physics

Papildus informācija

Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium statistical physics.
Preface xi
Conventions xiv
1 Aperitifs
1(11)
1.1 Diffusion
1(3)
1.2 Single-species annihilation/coalescence
4(5)
1.3 Two-species annihilation
9(1)
1.4 Notes
10(2)
2 Diffusion
12(47)
2.1 The probability distribution
12(3)
2.2 Central limit theorem
15(2)
2.3 Walks with broad distributions
17(5)
2.4 Application to gravity: the Holtsmark distribution
22(4)
2.5 First-passage properties
26(4)
2.6 Exit probabilities and exit times
30(7)
2.7 Reaction rate theory
37(3)
2.8 The Langevin approach
40(4)
2.9 Application to surface growth
44(7)
2.10 Notes
51(1)
2.11 Problems
51(8)
3 Collisions
59(44)
3.1 Kinetic theory
59(1)
3.2 The Lorentz gas
60(10)
3.3 Lorentz gas in an external field
70(5)
3.4 Collisional impact
75(2)
3.5 Maxwell molecules and very hard particles
77(4)
3.6 Inelastic gases
81(8)
3.7 Ballistic agglomeration
89(3)
3.8 Single-lane traffic
92(4)
3.9 Notes
96(1)
3.10 Problems
97(6)
4 Exclusion
103(31)
4.1 Symmetric exclusion process
103(5)
4.2 Asymmetric exclusion process
108(4)
4.3 Hydrodynamic approach
112(6)
4.4 Microscopic approach
118(5)
4.5 Open systems
123(7)
4.6 Notes
130(1)
4.7 Problems
131(3)
5 Aggregation
134(38)
5.1 The master equations
134(3)
5.2 Exact solution methods
137(8)
5.3 Gelation
145(8)
5.4 Scaling
153(3)
5.5 Aggregation with input
156(7)
5.6 Exchange-driven growth
163(4)
5.7 Notes
167(1)
5.8 Problems
168(4)
6 Fragmentation
172(27)
6.1 Binary fragmentation
172(8)
6.2 Planar fragmentation
180(5)
6.3 Reversible polymerization
185(6)
6.4 Collisional fragmentation
191(4)
6.5 Notes
195(1)
6.6 Problems
195(4)
7 Adsorption
199(34)
7.1 Random sequential adsorption in one dimension
199(7)
7.2 Phase space structure
206(7)
7.3 Adsorption in higher dimensions
213(7)
7.4 Reversible adsorption
220(6)
7.5 Polymer translocation
226(3)
7.6 Notes
229(1)
7.7 Problems
230(3)
8 Spin dynamics
233(44)
8.1 Phenomenology of coarsening
233(2)
8.2 The voter model
235(9)
8.3 Ising-Glauber model
244(3)
8.4 Mean-field approximation
247(2)
8.5 Glauber dynamics in one dimension
249(9)
8.6 Glauber dynamics in higher dimensions
258(6)
8.7 Spin-exchange dynamics
264(5)
8.8 Cluster dynamics
269(4)
8.9 Notes
273(1)
8.10 Problems
274(3)
9 Coarsening
277(45)
9.1 Models
277(3)
9.2 Free evolution
280(3)
9.3 Case studies in non-conservative dynamics
283(9)
9.4 Final states
292(2)
9.5 Defects
294(8)
9.6 Conservative dynamics
302(5)
9.7 Extremal dynamics
307(5)
9.8 Nucleation and growth
312(5)
9.9 Notes
317(1)
9.10 Problems
318(4)
10 Disorder
322(24)
10.1 Disordered spin chain
322(9)
10.2 Random walk in a random potential
331(8)
10.3 Random walk in random velocity fields
339(4)
10.4 Notes
343(1)
10.5 Problems
344(2)
11 Hysteresis
346(27)
11.1 Homogeneous ferromagnets
346(3)
11.2 Perturbation analysis
349(8)
11.3 Disordered ferromagnets
357(4)
11.4 Mean-field model
361(5)
11.5 Hysteresis in the random-field Ising chain
366(4)
11.6 Notes
370(1)
11.7 Problems
370(3)
12 Population dynamics
373(31)
12.1 Continuum formulation
373(9)
12.2 Discrete reactions
382(9)
12.3 Small-fluctuation expansion
391(3)
12.4 Large fluctuations
394(5)
12.5 Notes
399(1)
12.6 Problems
400(4)
13 Diffusive reactions
404(37)
13.1 Role of the spatial dimension
404(5)
13.2 The trapping reaction
409(5)
13.3 Two-species annihilation
414(3)
13.4 Single-species reactions in one dimension
417(11)
13.5 Reactions in spatial gradients
428(8)
13.6 Notes
436(1)
13.7 Problems
437(4)
14 Complex networks
441(30)
14.1 Non-lattice networks
441(2)
14.2 Evolving random graphs
443(8)
14.3 Random recursive trees
451(5)
14.4 Preferential attachment
456(4)
14.5 Fluctuations in networks
460(5)
14.6 Notes
465(1)
14.7 Problems
466(5)
References 471(12)
Index 483
Pavel L. Krapivsky is Research Associate Professor of Physics at Boston University. His current research interests are in strongly interacting many-particle systems and their applications to kinetic spin systems, networks, and biological phenomena. Sid Redner is a condensed-matter theorist whose research focuses on non-equilibrium statistical physics and its applications. Dr Redner has been on the physics faculty at Boston University since 1978 and has been a full professor since 1989. He has published 230 research articles and is the author of A Guide to First-Passage Processes (Cambridge University Press, 2001). Dr Redner is a Fellow of the American Physical Society and was a visiting scientist at Schlumberger Research in 19841985, the Ulam Scholar at Los Alamos National Laboratory in 20042005 and a visiting professor at the Universite Paul Sabatier (Toulouse) and Universite Pierre et Marie Curie (Paris) in 2008. Eli Ben-Naim is a theoretical physicist who conducts research in nonequilibrium statistical mechanics. His focus is interacting particle systems and their application to soft matter and complex systems. At the Theoretical Division in Los Alamos National Laboratory, he currently serves as the deputy group leader of the Physics of Condensed Matter and Complex Systems Group and is an affiliate of the Center of Nonlinear Studies. He received his B.Sc. in Physics and Mathematics from the Hebrew University, Jerusalem in 1990 and his Ph.D. in Physics from Boston University in 1994. He was a postdoctoral fellow at the University of Chicago before moving to Los Alamos. He is a Fellow of the American Physical Society (US) and the Institute of Physics (UK). He also serves on the editorial boards of the Journal of Physics A, the Journal of Statistical Mechanics and the European Journal of Physics B.