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 …

We review Monte Carlo simulations of the Ising model and similar models in three
dimensions that were performed in the last decade. Only recently, Monte Carlo simulations …

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 …

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 study a generalized clock model on the simple cubic lattice. The parameter of the model
can be tuned such that the amplitude of the leading correction to scaling vanishes. In the …

We improve the theoretical estimates of the critical exponents for the three-dimensional XY
universality class that apply to the superfluid transition in He 4 along the λ line of its phase …

Abstract 25th-order high-temperature series are computed for a general nearest-neighbor
three-dimensional Ising model with arbitrary potential on the simple cubic lattice. In …

Abstract We consider the Ginzburg-Landau Hamiltonian with a cubic-symmetric quartic
interaction and compute the renormalization-group functions to six-loop order in d= 3. We …

We study corrections to scaling in the O (3)-and O (4)-symmetric ϕ 4 model on the three-
dimensional simple cubic lattice with nearest-neighbour interactions. For this purpose, we …

High-temperature series are computed for a generalized three-dimensional Ising model with
arbitrary potential. Three specific “improved” potentials (suppressing leading scaling …