298 citations · 1.9k across the 134 of their papers we have counts for
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A Marginal Dimension of a Weakly Diluted Quenched m-Vector Model
Yu. Holovatch, M. Dudka, T. Yavors'kii
We calculate a marginal order parameter dimension which in a weakly diluted quenched -vector model controls the crossover from a universality class of a ``pure'' model ($m…
Effective and Asymptotic Critical Exponents of Weakly Diluted Quenched Ising Model: 3d Approach Versus -Expansion
R. Folk, Yu. Holovatch, T. Yavors'kii
We present a field-theoretical treatment of the critical behavior of three-dimensional weakly diluted quenched Ising model. To this end we analyse in a replica limit n=0 5-loop ren…
Multifractality of Brownian motion near absorbing polymers
Christian von Ferber, Yurij Holovatch
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 highe…
The correction-to-scaling exponent in dilute systems
R. Folk, Yu. Holovatch, T. Yavors'kii
The leading correction-to-scaling exponent for the three-dimensional dilute Ising model is calculated in the framework of the field theoretic renormalization group approach. Bo…
Multifractal dimension spectra in polymer physics
Christian von Ferber, Yurij Holovatch
We study the multifractal properties of diffusion in the presence of an absorbing polymer and report the numerical values of the multifractal dimension spectra for the case of an a…
Critical fluctuations in normal-to-superconducting transition
R. Folk, Yu. Holovatch
We study the phase transition to the superconducting state taking into account the fluctuations of the order parameter and of the vector magnetic field and discuss the question of…
Critical exponents of the diluted Ising model between dimensions 2 and 4
Yu. Holovatch, T. Yavors'kii
Within the massive field theoretical renormalization group approach the expressions for the beta- and gamma-functions of the anisotropic mn-vector model are obtained for general sp…
Polymer stars in three dimensions. Three loop results
Christian von Ferber, Yurij Holovatch
We study scaling properties of self avoiding polymer stars and networks of arbitrary given but fixed topology. We use massive field theoretical renormalization group framework to c…
Field theoretic operators for multifractal moments
Christian von Ferber, Yurij Holovatch
While multifractal spectra are convex, general field theoretic arguments show that power of field operators yield a concave spectrum of exponents as function of . This is…
Copolymer Networks: Multifractal dimension spectra in polymer field theory
Christian von Ferber, Yurij Holovatch
We explore the rich scaling behavior of copolymer networks in solution. We establish a field theoretic description in terms of composite operators. Our 3rd order resummation of the…