Book Review: Mathematical statistical mechanics

BOOK REVIEW Bohmian Mechanics and Quantum Theory

This collection Bohmian Mechanics and Quantum Theory gives us the broadest perspective yet on this important realist alternative to standard quantum theory. The book treats the history, philosophical rami"cations and consistency of theories arising from Bohm's original model and their relations to other alternative theories. Signi"cantly, it also contains applications of these theories to pract...

Book Review: Mathematical Linguistics by Kornai, András

For readers of traditional textbooks such as that of Partee, ter Meulen, and Wall (1990), the term 'mathematical linguistics' denotes a rather narrowly circumscribed set of issues including automata theory, set theory, and lambda calculus, with maybe a little formal language theory thrown in. Kornai's contribution is refreshingly different in that he treats, in this relatively compact volume, p...

Mathematical theory of non-equilibrium quantum statistical mechanics

We review and further develop a mathematical framework for non-equilibrium quantum statistical mechanics recently proposed in [JP4, JP5, JP6, Ru3, Ru4, Ru5, Ru6]. In the algebraic formalism of quantum statistical mechanics we introduce notions of non-equilibrium steady states, entropy production and heat fluxes, and study their properties. Our basic paradigm is a model of a small (finite) quant...

LECTURES ON MATHEMATICAL STATISTICAL MECHANICS By S . Adams DUBLIN

Nonequilibrium Statistical Mechanics: Mathematical Understanding and Numerical Simulation

Statistical mechanics is a theory allowing to infer the macroscopic behavior of physical systems from the knowledge of their microscopic description (namely the interaction laws between the elementary constituents of matter, such as atoms in a classical framework). The foundations of this theory date back to the nineteenth century. Major contributors include Maxwell, Boltzmann, Gibbs, Kelvin an...