298 citations · 1.9k across the 134 of their papers we have counts for
12 papers · 1 filter
Finite size induced phenomena in 2D classical spin models
O. Kapikranian, B. Berche, Yu. Holovatch
We make a short overview of the recent analytic and numerical studies of the classical two-dimensional XY and Heisenberg models at low temperatures. Special attention is being paid…
Impurity-impurity pair correlation function and paramagnetic-ferromagnetic phase transition in the random Ising model
D. Ivaneyko, B. Berche, Yu. Holovatch +1
In this Monte Carlo study we concentrated on the influence of non-magnetic impurities arranged as the lines with random orientation on paramagnetic-to-ferromagnetic phase transitio…
Perturbation expansion for the diluted two-dimensional XY model
Oleksandr Kapikranian, Bertrand Berche, Yurij Holovatch
We study the quasi-long-range ordered phase of a 2D XY model with quenched site-dilution using the spin-wave approximation and expansion in the parameter which characterizes the de…
Quasi-long-range ordering in a finite-size 2D Heisenberg model
Oleksandr Kapikranian, Bertrand Berche, Yurij Holovatch
We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables u…
On the universality class of the 3d Ising model with long-range-correlated disorder
D. Ivaneyko, B. Berche, Yu. Holovatch +1
We analyze a controversial question about the universality class of the three-dimensional Ising model with long-range-correlated disorder. Whereas both analytical and numerical stu…
Reply to: ``Comment on `Spurious fixed points in frustrated magnets,' cond-mat/0609285"
B. Delamotte, Yu. Holovatch, D. Ivaneyko +2
The Comment of A. Pelissetto and E. Vicari (cond-mat/0610113) on our article (cond-mat/0609285) is based on misunderstandings of this article as well as on unfounded implicit assum…
Spurious fixed points in frustrated magnets
B. Delamotte, Yu. Holovatch, D. Ivaneyko +2
We analyze the validity of perturbative estimations obtained at fixed dimensions in the study of frustrated magnets. To this end we consider the five-loop beta-functions obtained w…
Network Harness: Metropolis Public Transport
Christian von Ferber, Taras Holovatch, Yurij Holovatch +1
We analyze the public transport networks (PTNs) of a number of major cities of the world. While the primary network topology is defined by a set of routes each servicing an ordered…
Introduction to renormalization
Yu. Holovatch
In these lectures I discuss peculiarities of the critical behaviour of ``non-ideal'' systems as it is explained by the renormalization group approach. Examples considered here incl…
Entropy-induced separation of star polymers in porous media
V. Blavats'ka, C. von Ferber, Yu. Holovatch
We present a quantitative picture of the separation of star polymers in a solution where part of the volume is influenced by a porous medium. To this end, we study the impact of lo…
Local and cluster critical dynamics of the 3d random-site Ising model
D. Ivaneyko, J. Ilnytskyi, B. Berche +1
We present the results of Monte Carlo simulations for the critical dynamics of the three-dimensional site-diluted quenched Ising model. Three different dynamics are considered, the…
Model C critical dynamics of disordered magnets
M. Dudka, R. Folk, Yu. Holovatch +1
The critical dynamics of model C in the presence of disorder is considered. It is known that in the asymptotics a conserved secondary density decouples from the nonconserved order…