298 citations · 1.9k across the 134 of their papers we have counts for
34 papers · 1 filter
Individual bias and fluctuations in collective decision making: from algorithms to Hamiltonians
Petro Sarkanych, Mariana Krasnytska, Luis Gómez-Nava +2
In this paper, we reconsider the spin model suggested recently to understand some features of collective decision making among higher organisms [A.T. Hartnett et al., Phys. Rev. Le…
Potts Model with Invisible States: A Review
Mariana Krasnytska, Petro Sarkanych, Bertrand Berche +2
The Potts model with invisible states was introduced to explain discrepancies between theoretical predictions and experimental observations of phase transitions in some systems whe…
On the new universality class in structurally disordered -vector model with long-range interactions
Dmytro Shapoval, Maxym Dudka, Yurij Holovatch
We study a stability border of a region where nontrivial critical behaviour of an -vector model with long-range power-law decaying interactions is induced by the presence of a s…
Phase transitions above the upper critical dimension
Bertrand Berche, Tim Ellis, Yurij Holovatch +1
These lecture notes provide an overview of the renormalization group (RG) as a successful framework to understand critical phenomena above the upper critical dimension …
Generalized Ising Model on a Scale-Free Network: An Interplay of Power Laws
Mariana Krasnytska, Bertrand Berche, Yurij Holovatch +1
We consider a recently introduced generalization of the Ising model in which individual spin strength can vary. The model is intended for analysis of ordering in systems comprising…
DNA thermal denaturation by polymer field theory approach: effects of the environment
Yu. Holovatch, C. von Ferber, Yu. Honchar
We analyse the effects of the environment (solvent quality, presence of extended structures - crowded environment) that may have impact on the order of the transition between denat…
Ising model with variable spin/agent strengths
Mariana Krasnytska, Bertrand Berche, Yurij Holovatch +1
We introduce varying spin strengths to the Ising model, a central pillar of statistical physics. With inhomogeneous physical systems in mind, but also anticipating interdisciplinar…
Exact solution of a classical short-range spin model with a phase transition in one dimension: the Potts model with invisible states
Petro Sarkanych, Yurij Holovatch, Ralph Kenna
We present the exact solution of the 1D classical short-range Potts model with invisible states. Besides the states of the ordinary Potts model, this possesses additional s…
Self-averaging in the random 2D Ising ferromagnet
Victor Dotsenko, Yurij Holovatch, Maxym Dudka +1
We study sample-to-sample fluctuations in a critical two-dimensional Ising model with quenched random ferromagnetic couplings. Using replica calculations in the renormalization gro…
Phase diagram of Model C in the parametric space of order parameter and space dimensions
M. Dudka, R. Folk, Yu. Holovatch
The scaling behavior of model C describing the dynamical behaviour of the -component nonconserved order parameter coupled statically to a scalar conserved density is considered…
On the discontinuity of the specific heat of the Ising model on a scale-free network
M. Krasnytska, B. Berche, Yu. Holovatch +1
We consider the Ising model on an annealed scale-free network with node-degree distribution characterized by a power-law decay . It is well established that the mo…
Violation of Lee-Yang circle theorem for Ising phase transitions on complex networks
M. Krasnytska, B. Berche, Yu. Holovatch +1
The Ising model on annealed complex networks with degree distribution decaying algebraically as has a second-order phase transition at finite temperature if $λ> 3…
Universal free-energy distribution in the critical point of a random Ising ferromagnet
Victor Dotsenko, Yu. Holovatch
We discuss the non-self-averaging phenomena in the critical point of weakly disordered Ising ferromagnet. In terms of the renormalized replica Ginzburg-Landau Hamiltonian in dimens…
On the phase diagram of the 2d Ising model with frustrating dipole interaction
P. Sarkanych, Yu. Holovatch, R. Kenna
Due to intrinsic frustrations of interaction, the 2d Ising model with competing ferromagnetic short-range nearest-neighbour and antiferromagnetic long-range dipole interactions pos…
Marginal dimensions for multicritical phase transitions
M. Dudka, R. Folk, Yu. Holovatch +1
The field-theoretical model describing multicritical phenomena with two coupled order parameters with n_{||} and n_{\perp} components and of O(n_{||}) \oplus O(n_{\perp}) symmetry…
Field theory of bicritical and tetracritical points. IV. Critical dynamics including reversible terms
R. Folk, Yu. Holovatch, G. Moser
This article concludes a series of papers (R. Folk, Yu. Holovatch, and G. Moser, Phys. Rev. E 78, 041124 (2008); 78, 041125 (2008); 79, 031109 (2009)) where the tools of the field…
Entropic equation of state and scaling functions near the critical point in scale-free networks
C. von Ferber, R. Folk, Yu. Holovatch +2
We analyze the entropic equation of state for a many-particle interacting system in a scale-free network. The analysis is performed in terms of scaling functions which are of funda…
Analysis of the 3d massive renormalization group perturbative expansions: a delicate case
B. Delamotte, M. Dudka, Yu. Holovatch +1
The effectiveness of the perturbative renormalization group approach at fixed space dimension d in the theory of critical phenomena is analyzed. Three models are considered: the O(…
Spin vortices and vacancies: interactions and pinning on a square lattice
Oleksandr Kapikranian, Yurij Holovatch
The study gives a decisive answer to the recently risen question about the type and origin of interaction between spin vortices and spin vacancies in 2D spin models. The approach i…
Field Theoretical Approach to Bicritical and Tetracritical Behavior: Static and Dynamics
R. Folk, Yu. Holovatch, G. Moser
We discuss the static and dynamic multicritical behavior of three-dimensional systems of symmetry as it is explained by the field theoretical renormaliza…
A coupled order parameter system on a scale-free network
V. Palchykov, C. von Ferber, R. Folk +1
The system of two scalar order parameters on a complex scale-free network is analyzed in the spirit of Landau theory. To add a microscopic background to the phenomenological approa…
Field theory of bicritical and tetracritical points. III. Relaxational dynamics including conservation of magnetization (Model C)
R. Folk, Yu. Holovatch, G. Moser
We calculate the relaxational dynamical critical behavior of systems of symmetry including conservation of magnetization by renormalization group (RG) th…
Field theory of bi- and tetracritical points: Relaxational dynamics
R. Folk, Yu. Holovatch, G. Moser
We calculate the relaxational dynamical critical behavior of systems of symmetry by renormalization group method within the minimal subtraction scheme in…
Field theory of bi- and tetracritical points: Statics
R. Folk, Yu. Holovatch, G. Moser
We calculate the static critical behavior of systems of symmetry by renormalization group method within the minimal subtraction scheme in two loop order.…