We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

This volume links field theory methods and concepts from particle physics with those in
critical phenomena and statistical mechanics, the development starting from the latter point …

The field of phase transitions and critical phenomena continues to be active in research,
producing a steady stream of interesting and fruitful results. It has moved into a central place …

A critical review is given of status and perspectives of Monte Carlo simulations that address
bulk and interfacial phase transitions of ferromagnetic Ising models. First, some basic …

We describe in detail an efficient algorithm for studying site or bond percolation on any
lattice. The algorithm can measure an observable quantity in a percolation system for all …

We improve the theoretical estimates of the critical exponents for the three-dimensional
Heisenberg universality class. We find γ= 1.3960 (9), ν= 0.7112 (5), η= 0.0375 (5), α …

We improve the theoretical estimates of the critical exponents for the three-dimensional XY
universality class. We find α=− 0.0146 (8), γ= 1.3177 (5), ν= 0.671 55 (27), η= 0.0380 (4), β …

Local electromagnetic field fluctuations and related enhancement of nonlinear phenomena
in metal-dielectric composites near the percolation threshold (percolation composites) have …

We study the spin-1/2 Ising model and the Blume-Capel model at various values of the
parameter D on the simple cubic lattice. To this end we perform Monte Carlo simulations …

We renormalize six-dimensional ϕ 3 theory in the modified minimal subtraction (MS¯)
scheme at four loops. From the resulting β-function, anomalous dimension, and mass …