The theory of critical phenomena in systems at equilibrium is reviewed at an introductory
level with special emphasis on the values of the critical point exponents α, β, γ,..., and their …

Critical phenomena in films of finite thickness are considered. A detailed scaling theory, with
allowance for distinct exponents λ and θ= 1 ν for the critical-point shift and rounding, …

The nature and origins of renormalization group ideas in statistical physics and condensed
matter theory are recounted informally, emphasizing those features of prime importance in …

Critical exponents are calculated for dimension d= 4− ε with ε small, using renormalization-
group techniques. To order ε the exponent γ is 1+ 1 6 ε for an Ising-like model and 1+ 1 5 ε …

The renormalization group approach to the theory of critical behavior is reviewed at an
introductory level with emphasis on magnetic systems. Among recent results reported are the …

The droplet or cluster theory of condensation is reviewed critically and extended. It is shown
to imply that the condensation point is marked by a singularity of the thermodynamic …

Critical exponents for a d-dimensional system with an isotropic n-component order parameter
and long-range attractive interactions decaying as 1 r d+ σ (σ> 0) are derived, using the …

New results concerning the statistics of, in particular,p random walkers on a line whose paths
do not cross are reported, extended, and interpreted. A general mechanism yielding phase …

The thermodynamics of the critical point is discussed generally for a system in which some"
hidden variable" x, eg, a density of impurities, fluctuates in equilibrium but is subject to a …

The theory of the correlations and critical scattering of two-and three-dimensional nearest-neighbor
Ising models is discussed critically. A distinction is drawn between κ (T), the true …