Physics of Stochastic Processes: How Randomness Acts in Time
In addition, applications from different fields are included so as to strengthen the background learned in the first part of the book. With its exercises at the end of each chapter (and solutions only available to lecturers) this book will benefit students and researchers at different educational levels.
Solutions manual available for lecturers on www.wiley-vch.de
The Master Equation
The Fokker-Planck Equation
The Langevin Equation
Bounded Drift-Diffusion Motion
The Ornstein-Uhlenbeck Process
Nucleation in Supersaturated Vapors
Noise-Induced Phase Transitions
Jevgenijs Kaupu's graduated from the Department of Physics and Mathematics at the University of Latvia in Riga. In 1995, he received his Ph.D. degree for a thesis entitled "Role of fluctuations in the phase transition region". Since 1997, he has been working at the Institute of Mathematics and Computer Science of the University of Latvia, where he was a senior researcher from 2003 to 2005. Today he holds a post as associated professor at the Liepaja Pedagogical Academy, Latvia. The main topics of his work are phase transitions and critical phenomena, traffic flow theory and ferroelectrics. Professor Kaupu's is the author of more than 70 scientific publications.
Ihor Lubashevsky received his Ph.D. from the Moscow Institute for Physics and Technology in 1980. In 1993, he became assistant professor at Moscow State University. Four years later, he accepted a post as leading staff scientist at the theory department of the A. M. Prokhorov General Physics Institute, Russian Academy of Sciences. He also is chair and professor at the Department for the Modelling of Radio- Physical Processes, Moscow Technical University of Radio- Engineering, Electronics and Automation. Professor Lubashevsky's research experience spans over statistical physics, in particular non-equilibrium many particle systems.
“This is a very well written textbook devoted to applications of Markov processes in physics. It combines a concise and mathematically rigorous exposition of the main notions of stochastic calculus with a more classical approach based on the solution of a Fokker-Planck or master equation.” (Zentralblatt MATH, 1 December 2012)