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 S.B. Santra - Indian Institute of Technology Guwahati
This text provides a firm grounding in the laws and principles of statistical mechanics and thermodynamics that are essential to the study of physics. It presents the subject in a clear manner, and is based on the up-to-date research in the field.
by Michael Cross - Caltech
The author discusses using statistical mechanics to understand real systems, rather than ideal systems that can be solved exactly. In addition dynamics and fluctuations are considered. These notes are an attempt to summarize the main points.
by Eric L. Michelsen - UCSD
This work is aimed at graduate and advanced undergraduate physics students. It contains a better entropy discussion, the Carnot conspiracy, Boltzmann distribution, entropy, free energy, meet Mr. Mole, chemical potential, and much more...
by Peter Kopietz - arXiv
In this book we describe a new non-perturbative approach to the fermionic many-body problem, which can be considered as a generalization to arbitrary dimensions of the well-known bosonization technique for one-dimensional fermions.