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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…
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…
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…