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
8 papers · 2 filters
Corner contribution to cluster numbers in the Potts model
István A. Kovács, Eren Metin Elçi, Martin Weigel +1
For the two-dimensional Q-state Potts model at criticality, we consider Fortuin-Kasteleyn and spin clusters and study the average number N_Gamma of clusters that intersect a given…
The two-point resistance of a resistor network: A new formulation and application to the cobweb network
N. Sh. Izmailian, R. Kenna, F. Y. Wu
We consider the problem of two-point resistance in a resistor network previously studied by one of us [F. Y. Wu, J. Phys. A {\bf 37}, 6653 (2004)]. By formulating the problem diffe…
Critical Binder cumulant and universality: Fortuin-Kasteleyn clusters and order-parameter fluctuations
A. Malakis, N. G. Fytas, G. Gülpinar
We investigate the dependence of the critical Binder cumulant of the magnetization and the largest Fortuin-Kasteleyn cluster on the boundary conditions and aspect ratio of the unde…
Accurate expansions of internal energy and specific heat of critical two-dimensional Ising model with free boundaries
Xintian Wu, Ru Zheng, Nickolay Izmailian +1
The bond-propagation (BP) algorithm for the specific heat of the two dimensional Ising model is developed and that for the internal energy is completed. Using these algorithms, we…
Scaling Behavior of the Heisenberg Model in Three Dimensions
A. Gordillo-Guerrero, R. Kenna, J. J. Ruiz-Lorenzo
We report on extensive numerical simulations of the three-dimensional Heisenberg model and its analysis through finite-size scaling of Lee-Yang zeros. Besides the critical regime,…
Potts Models with Invisible States on General Bethe Lattices
N. Ananikian, N. Sh. Izmailyan, D. A. Johnston +2
The number of so-called invisible states which need to be added to the q-state Potts model to transmute its phase transition from continuous to first order has attracted recent att…