Publisher Summary This chapter discusses the systems coupled to two reservoirs of energy
in such a way that there is a steady energy flow through the system. An example is a resistor …

An introductory review of the Monte Carlo method for the statistical mechanics of condensed
matter systems is given. Basic principles (random number generation, simple sampling …

Publisher Summary This chapter presents the formalism and applications of cluster
expansions to the problem of ab initio calculations of thermodynamic properties of crystalline …

Abstract Recently, Takayasu and Tretyakov [Phys. Rev. Lett. 68, 3060 (1992)] studied
branching annihilating random walks (BAWs) with n= 1–5 offspring. These models exhibit a …

A coherent anomaly method (CAM) is formulated for critical phenomena on the basis of the
general idea of CAM for cooperative phenomena proposed by Suzuki. The coherent …

Two kinds of systematic mean-field transfer-matrix methods are formulated in the 2-
dimensional Ising spin system, by introducing Weiss-like and Bethe-like approximations. All …

Although lattice gases composed of particles preventing up to their k th nearest neighbors
from being occupied (the k NN models) have been widely investigated in the literature, the …

抄録 A new method is proposed to estimate critical exponents by applying the CAM theory to
continued-fraction expansions of static and dynamic response functions. Some …

The one-dimensional contact process (CP) is studied by a systematic series of
approximations. A new decoupling procedure of correlation functions is proposed by …

抄録 A new scheme to study exotic phase transitions is formulated by introducing the
concept of a super-effective field. A general mechanism of phase transitions is elucidated …