title: Star copolymers in porous environments: scaling and its manifestations.
abstract: We consider star polymers, consisting of two different polymer species, in a solvent subject to quenched correlated structural obstacles. We assume that the disorder is correlated with a power-law decay of the pair-correlation function g(x)~x(-a). Applying the field-theoretical renormalization group approach in d dimensions, we analyze different scenarios of scaling behavior working to first order of a double ɛ=4-d, δ=4-a expansion. We discuss the influence of the correlated disorder on the resulting scaling laws and possible manifestations such as diffusion-controlled reactions in the vicinity of absorbing traps placed on polymers as well as the effective short-distance interaction between star copolymers.
authors.affiliation: Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, Lviv, Ukraine. viktoria@icmp.lviv.ua
authors.forename: V
authors.initials: V
authors.lastname: Blavatska
authors.forename: C
authors.initials: C
authors.lastname: von Ferber
authors.forename: Yu
authors.initials: Y
authors.lastname: Holovatch