Stochastic Transport in Complex Systems

Dr. Andreas Schadschneider is Professor at the Institute for Theoretical Physics at the University of Cologne. His research covers various aspects of condensed matter physics ranging from solid state physics to interdisciplinary problems in statistical and biological physics. He has published more than hundred research papers in leading international journals. Dr. Debashish Chowdhury is a Professor of Physics at the Indian Institute of Technology Kanpur. He works on interdisciplinary topics in statistical and biological physics. He has published three books and more than hundred research papers in leading international journals. He is a fellow of the Indian Academy of Sciences. Dr. Katsuhiro Nishinari is an Associate Professor of Faculty of Engineering, University of Tokyo. He works on interdisciplinary topics in applied mathematics, fluid dynamics, and statistical physics. He has published more than fifty research papers in leading international journals.

"The book is devoted to traffic and traffic-like collective phenomena. It starts with an overview of the basic techniques of modeling in the language of nonequilibrium statistical mechanics and nonlinear dynamics of interacting particles and fluids. Especially the traffic-like systems which are considered in the present book are mainly concerned with purely classical transport phenomena and quantum mechanics doesn’t play any role in these processes. In Chapter one, a classification of nonequilibrium phenomena is given, as well as a hierarchy of description. The authors distinguish the models into two categories, the individual based models and the population based models… The book gives a well balanced overview of different approaches, theories and methods on a variety of problems both old and new, of international interest. It is of particular interest as a reference for both graduate courses and seminars as well as for library collections." --Zentralblatt Math"The book is encyclopaedic and contains a lot of information which might be very useful for graduate students and researchers new to the field… One can use it to learn the fundamentals of nonequilibrium statistical mechanics and stochastic processes, or to learn about many fundamental conceptual models and ideas, including numerical methods and algorithms that no doubt go beyond the applications considered in the second part of the book…. Finally, the book ends with an excellent guide to the literature, which points out and explains the main references, lest the reader be lost in the forest of the bibliography. The latter contains more than 1500 references, and is no doubt very complete…. The encyclopaedic character of this monograph, containing much useful information concerning techniques, methods, and models of traffic phenomena at large, makes it an important reference for young researchers and interested graduate students, as well as other scientists interested in the methods and techniques useful for applications in complex systems sciences." --Contemporary Physics

• I. Methods and Concepts1. Introduction to Nonequilibrium Systems and Transport Phenomena2. Methods for the Description of Stochastic Models3. Particle-Hopping Models of Transport far From Equilibrium4. Asymmetric Simple Exclusion Process - Exact ResultsII. Applications5. Vehicular Traffic I: Empirical Facts6. Vehicular Traffic II: The Nagel-Schreckenberg Model7. Vehicular Traffic III: Other CA Models8. Vehicular Traffic III: Non-CA Modelling Approaches9. Transport on Networks10. Pedestrian Dynamics11. Biological Traffic