The Monte Carlo Method in Condensed Matter Physics

The Monte Carlo method is a method of computer simulation of a system with many degrees of freedom, and thus it has widespread applications in science. It takes its name from the use of random numbers to simulate statistical fluctuations in order to numerically gen- erate probability distributions (which cannot otherwise be known explicitly, since the systems considered are so complex). The Monte Carlo method then yields numerically exact information on model systems . Such simulations serve two purposes: one can check the extent to which a model system approximates a real system; or one may check the validity of approximations made in analytical theories. This book summarizes recent progress obtained in the implementation of this method and with the general analysis of results, and gives concise reviews of recent applications. These applications include simulations of growth processes far from equilibrium, interfacial phenomena, quantum and classical fluids, polymers, quantum problems on lattices, and random systems.

Alongside experimental and theoretical work, computer simulation now forms one of the major tools of research in physics. The Monte Carlo method is the most important simulation method in the area of condensed matter physics. Alongside experimental and theoretical work, computer simulation now forms one of the major tools of research in physics. The Monte Carlo method is the most important simulation method in the area of condensed matter physics. This book, written by foremost experts in the field, describes the state of the art of simulation methods in solid state physics. It also reviews selected applications in areas of particular current interest like simulations of growth processes far from equilibrium, interfacial phenomena, quantum and classical fluids, polymers, quantum problems on lattices, and random systems. A new chapter on recent developments in the Monte Carlo simulation of condensed matter has been attached.