The critical behaviour of thin films containing quenched random impurities
and inhomogeneities is investigated by the renormalization-group method. The
finite-size crossover in impure films has been considered on the basis of the
fundamental relationship between the effective spatial dimensionality and the
characteristic lengths of the system. The difference between the critical
properties of infinite systems and films is demonstrated and investigated. A
new critical exponent, describing the scaling properties of the thickness of
films with extended impurities has been deduced and calculated. A special
attention is paid to the critical behaviour of real impure films.Comment: 27 pages LaTex; figures are available in the journal varian
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.