Star copolymers in porous environments: scaling and its manifestations
arXiv:1010.2120 · doi:10.1103/PhysRevE.83.011803
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)\sim 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 ε=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.
arXiv comment13 pages, 3 figures
References in corpus (15)
- Critical Exponents of the N-vector model
- Scaling of Star Polymers with one to 80 Arms
- Polymers in long-range-correlated disorder
- Copolymer Networks and Stars: Scaling Exponents
- Multifractal behavior of linear polymers in disordered media
- Polydisperse star polymer solutions
- Statistics of self-avoiding walks on randomly diluted lattice
- Critical Behaviour of 3D Systems with Long-Range Correlated Quenched Defects
- Copolymer Networks: Multifractal dimension spectra in polymer field theory
- Dynamical properties of the Landau-Ginzburg model with long-range correlated quenched impurities
- Multifractality of Brownian motion near absorbing polymers
- Critical exponents of the diluted Ising model between dimensions 2 and 4
- Operator Product Expansion on a Fractal: The Short Chain Expansion for Polymer Networks
- Entropy-induced separation of star polymers in porous media
- Scaling of star polymers: high order results
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