The critical region around the true phase transition temperature is estimated for Ising-like models near d=4 and for the same models with long (but finite) range interactions at arbitrary d. The results justify the use of the Ginzburg criterion for the critical region. The rapid and nonanalytic decrease towards zero of the size of the critical region as d to 4 from below is analysed and its consequences for the validity of the epsilon -expansion are discussed.
We use the skeleton-graph $\ensuremath{\epsilon}$-expansion method to discuss the critical dynamics of a Bose liquid in $d=4\ensuremath{-}\ensuremath{\epsilon}$ dimensions. The ...
The scaling equation of state for a generalized classical Heisenberg ferromagnet near the critical point is derived by an expansion in $\ensuremath{\epsilon}=4\ensuremath{-}d$, ...
We examine the effect of long-range spatially correlated disorder on the Anderson localization transition in $d=2+\ensuremath{\epsilon}$ dimensions. This is described as a phase...
We have studied the dynamics of the order-disorder phase transition in ${\mathrm{Ni}}_{3}$Mn by neutron-scattering techniques. The relaxation time constant for the long-range or...
The critical dynamics of a stochastic Ginzburg-Landau model of an $N$-component order parameter coupled to a conserved-energy-density field is studied with the help of field-the...
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