Introduction to the theory of stochastic processes and Brownian motion problems
by J. L. Garcia-Palacios
Publisher: arXiv 2007
Number of pages: 104
Contents: Historical introduction; Stochastic variables; Stochastic processes and Markov processes; The master equation: Kramers–Moyal expansion and Fokker–Planck equation; The Langevin equation; Linear response theory, dynamical susceptibilities, and relaxation times (Kramers’ theory); Methods for solving Langevin and Fokker–Planck equations; Derivation of Langevin equations in the bath-of-oscillators formalism.
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by Peter E. Blöchl - TU Clausthal
The table of contents: Transition-state theory; Diffusion; Monte Carlo Method; Quantum Monte Carlo; Decoherence; Notes on the Interpretation of Quantum Mechanics; Irreversible Thermodynamics; Transport; Interacting Systems and Phase Transitions; etc.
by Paul Fendley - The University of Virginia
This book is an attempt to cover the gap between what is taught in a conventional statistical mechanics class and between what is necessary to understand current research. The aim is to introduce the basics of many-body physics to a wide audience.
by Ben Simons - University of Cambridge
Contents -- Preface; Chapter 1: Critical Phenomena; Chapter 2: Ginzburg-Landau Theory; Chapter 3: Scaling Theory; Chapter 4: Renormalisation Group; Chapter 5: Topological Phase Transitions; Chapter 6: Functional Methods in Quantum Mechanics.
by Ola Bratteli, Derek W. Robinson - Springer
These two volumes present the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications.