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We study the properties of diffusion controlled reactions with traps or reaction sites attached to polymer chains or to a star polymer. Using a field theoretical renormalization group approach we obtain the scaling of the moments of concentration of diffusing particles near the core of a star polymer and calculate numerical values of the exponents governing… (More)

- F Jasch, Ch von Ferber, A Blumen
- Physical review. E, Statistical, nonlinear, and…
- 2003

Treating the relaxation dynamics of an ensemble of random hyperbranched macromolecules in dilute solution represents a challenge even in the framework of Rouse-type approaches, which focus on generalized Gaussian structures (GGSs). The problem is that one has to average over a large class of realizations of molecular structures, and that each molecule… (More)

- Yu Holovatch, V Blavats 'ka, M Dudka, C Von Ferber, R Folk, T Yavors
- 2001

In these lectures, we discuss the influence of weak quenched disorder on the critical behavior in condensed matter and give a brief review of available experimental and theoretical results as well as results of MC simulations of these phenomena. We concentrate on three cases: (i) uncorrelated random-site disorder, (ii) long-range-correlated random-site… (More)

- A Blumen, A Jurjiu, Th Koslowski, Ch von Ferber
- Physical review. E, Statistical, nonlinear, and…
- 2003

We consider the dynamics of Vicsek fractals of arbitrary connectivity, models for hyperbranched polymers. Their basic dynamical properties depend on their eigenvalue spectra, which can be determined iteratively. This paves the way for theoretical studies to very high precision for regular, finite, arbitrarily large hyperbranched structures.

- C Von Ferber, A Jusufi, C N Likos, H Löwen, M Watzlawek
- 2000

We analyze the effective triplet interactions between the centers of star polymers in a good solvent. Using an analytical short distance expansion inspired by scaling theory, we deduce that the triplet part of the three-star force is attractive but only 11% of the pairwise part even for a close approach of three star polymers. We have also performed… (More)

- C Von Ferber, A Jusufi, M Watzlawek, C N Likos, H Löwen
- 2000

We analyze the effect of polydispersity in the arm number on the effective interactions , structural correlations and the phase behavior of star polymers in a good solvent. The effective interaction potential between two star polymers with different arm numbers is derived using scaling theory. The resulting expression is tested against monomer-resolved… (More)

- C von Ferber, V Blavats'ka, R Folk, Yu Holovatch
- Physical review. E, Statistical, nonlinear, and…
- 2004

The scaling properties of self-avoiding walks on a d -dimensional diluted lattice at the percolation threshold are analyzed by a field-theoretical renormalization group approach. To this end we reconsider the model of Phys. Rev. Lett. 63, 2819 (1989)] and argue that via renormalization its multifractal properties are directly accessible. While the former… (More)

- C von Ferber, Y Holovatch
- Physical review. E, Statistical physics, plasmas…
- 1999

We characterize the multifractal behavior of Brownian motion in the vicinity of an absorbing star polymer. We map the problem to an O(M)-symmetric phi(4)-field theory relating higher moments of the Laplacian field of Brownian motion to corresponding composite operators. The resulting spectra of scaling dimensions of these operators display the convexity… (More)

- J Dzubiella, A Jusufi, +9 authors P N Pusey
- Physical review. E, Statistical, nonlinear, and…
- 2001

We examine the demixing transition in star-polymer-colloid mixtures for star arm numbers f=2,6,16,32 and different star-polymer-colloid size ratios 0.18< or =q< or =0.50. Theoretically, we solve the thermodynamically self-consistent Rogers-Young integral equations for binary mixtures using three effective pair potentials obtained from direct molecular… (More)

- V Palchykov, C von Ferber, R Folk, Yu Holovatch, R Kenna
- Physical review. E, Statistical, nonlinear, and…
- 2010

In this paper, we address the logarithmic corrections to the leading power laws that govern thermodynamic quantities as a second-order phase transition point is approached. For phase transitions of spin systems on d-dimensional lattices, such corrections appear at some marginal values of the order parameter or space dimension. We present scaling relations… (More)