302 citations
- Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of UkraineUA63 papers
- Centre National de la Recherche ScientifiqueFR61 papers
- National Academy of Sciences of UkraineUA44 papers
- Université de LorraineFR39 papers
- Leipzig UniversityDE32 papers
- Institut Jean LamourFR22 papers
- University of BathGB21 papers
- A. Alikhanyan National LaboratoryAM19 papers
- Complexity Science HubAT15 papers
- Johannes Kepler University of LinzAT15 papers
- Heriot-Watt UniversityGB14 papers
- University of FreiburgDE14 papers
7 papers · 2 filters
Scaling and universality in the phase diagram of the 2D Blume-Capel model
J. Zierenberg, N. G. Fytas, M. Weigel +2
We review the pertinent features of the phase diagram of the zero-field Blume-Capel model, focusing on the aspects of transition order, finite-size scaling and universality. In par…
Cluster Monte Carlo and dynamical scaling for long-range interactions
Emilio Flores-Sola, Martin Weigel, Ralph Kenna +1
Many spin systems affected by critical slowing down can be efficiently simulated using cluster algorithms. Where such systems have long-range interactions, suitable formulations ca…
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…
Interfacial adsorption in two-dimensional pure and random-bond Potts models
Nikolaos G. Fytas, Panagiotis E. Theodorakis, Anastasios Malakis
We study using Monte Carlo simulations the finite-size scaling behavior of the interfacial adsorption of the two-dimensional square-lattice -states Potts model. We consider the…
Exact solution of the critical Ising model with special toroidal boundary conditions
Armen Poghosyan, Nickolay Izmailian, Ralph Kenna
The Ising model in two dimensions with special toroidal boundary conditions is analyzed. These boundary condition, which we call duality twisted boundary conditions, may be interpr…
Universal Finite-Size Scaling for Percolation Theory in High Dimensions
Ralph Kenna, Bertrand Berche
We present a unifying, consistent, finite-size-scaling picture for percolation theory bringing it into the framework of a general, renormalization-group-based, scaling scheme for s…