A kinetic view of statistical physics.

*(English)*Zbl 1235.82040
Cambridge: Cambridge University Press (ISBN 978-0-521-85103-9/hbk; 978-0-511-90427-1/ebook). xv, 488 p. (2010).

The book is devoted to non-equilibrium statistical mechanics, discussed in numerous elegant examples. This is a good pedagogical introduction to a broad variety of modern topics in non-equilibrium statistical physics, including discussions on fundamental processes in nature such as diffusion, collision, aggregation and fragmentation. It covers also applied topics such as population dynamics and evolution of networks.

The book consists of 14 chapters. Chapter 1, called “Aperitifs”, considers some basic problems along with some hints at methods of solution. Chapter 2 introduces random walks and diffusion phenomena. Collisions-driven phenomena are discussed in Chapter 3. A brief overview of exclusion processes is given in the next chapter. The kinetics of aggregation, fragmentation and adsorption is discussed in Chapters 5–7. Chapters 8 and 9 are devoted to non-equilibrium spin systems, while the role of disorder for certain examples of non-equilibrium processes is considered in the tenth chapter. Chapters 12 and 13 are devoted to population dynamics at the kinetics of chemical reactions. Finally, complex networks are discussed in Chapter 14.

I would like to note that some topics of the book, such as random walks and diffusion, Langevin equation and, particularly, single-lane traffic, are discussed in detail and with many examples also in the physics textbook [R. Mahnke, the reviewer and I. Lubashevsky, Physics of stochastic processes. How randomness acts in time. Weinheim: Wiley-VCH (2009; Zbl 1234.60002)].

The book consists of 14 chapters. Chapter 1, called “Aperitifs”, considers some basic problems along with some hints at methods of solution. Chapter 2 introduces random walks and diffusion phenomena. Collisions-driven phenomena are discussed in Chapter 3. A brief overview of exclusion processes is given in the next chapter. The kinetics of aggregation, fragmentation and adsorption is discussed in Chapters 5–7. Chapters 8 and 9 are devoted to non-equilibrium spin systems, while the role of disorder for certain examples of non-equilibrium processes is considered in the tenth chapter. Chapters 12 and 13 are devoted to population dynamics at the kinetics of chemical reactions. Finally, complex networks are discussed in Chapter 14.

I would like to note that some topics of the book, such as random walks and diffusion, Langevin equation and, particularly, single-lane traffic, are discussed in detail and with many examples also in the physics textbook [R. Mahnke, the reviewer and I. Lubashevsky, Physics of stochastic processes. How randomness acts in time. Weinheim: Wiley-VCH (2009; Zbl 1234.60002)].

Reviewer: J. Kaupužs (Riga)

##### MSC:

82C05 | Classical dynamic and nonequilibrium statistical mechanics (general) |

82-02 | Research exposition (monographs, survey articles) pertaining to statistical mechanics |