A Basic Introduction to Large Deviations: Theory, Applications, Simulations
by Hugo Touchette
Publisher: arXiv 2011
Number of pages: 56
The theory of large deviations deals with the probabilities of rare events (or fluctuations) that are exponentially small as a function of some parameter, e.g., the number of random components of a system, the time over which a stochastic system is observed, the amplitude of the noise perturbing a dynamical system or the temperature of a chemical reaction.
Home page url
Download or read it online for free here:
by Jed Rembold - New Mexico Tech
From the table of contents: Fundamental Principles of Statistical Physics; Selected Applications (Classical Systems, Ideal Fermi Gas, Ideal Bose Gas, Black Body Radiation, Relativistic Degenerate Electron Gas); Introduction to Kinetic Theory.
by Harvey Gould, Jan Tobochnik - Princeton University Press
A text on two related subjects: thermodynamics and statistical mechanics. Computer simulations and numerical calculations are used in a variety of contexts. The book brings some of the recent advances in research into the undergraduate curriculum.
by James P. Sethna - Oxford University Press
This text is addresses the interests not only of physicists, but of students and researchers in mathematics, biology, engineering, computer science, and the social sciences. The text treats the intersection of the interests of all of these groups.
by Eric Bertin - ENS Lyon
This introductory text was aimed at giving a basic knowledge of the concepts and methods of statistical physics to the readers, so that they could later on follow more advanced lectures on diverse topics in the field of complex systems.