119 citations · 310 across the 18 of their papers we have counts for
18 papers
Partition function zeros for the Blume-Capel model on a complete graph
Yulian Honchar, Mariana Krasnytska, Bertrand Berche +2
In this paper we study finite-size effects in the Blume-Capel model through the analysis of the zeros of the partition function. We consider a complete graph and make use of the be…
The enigmatic exponent koppa and the story of finite-size scaling above the upper critical dimension
Ralph Kenna, Bertrand Berche
Scaling, hyperscaling and finite-size scaling were long considered problematic in theories of critical phenomena in high dimensions. The scaling relations themselves form a model-i…
Critical and tricritical singularities from small-scale Monte Carlo simulations: The Blume-Capel model in two dimensions
Leïla Moueddene, Nikolaos G Fytas, Yurij Holovatch +2
We show that the study of critical properties of the Blume-Capel model at two dimensions can be deduced from Monte Carlo simulations with good accuracy even for small system sizes…
On a previously unpublished work with Ralph Kenna
Ralph Kenna, Bertrand Berche
This is part of an unpublished work in collaboration with Ralph Kenna. It was probably not mature enough at the time it was submitted more than ten years ago and it was rejected by…
Exact coefficients of finite-size corrections in the Ising model with Brascamp-Kunz boundary conditions and their relationships for strip and cylindrical geometries
Nikolay Sh. Izmailian, Ralph Kenna, Vladimir V. Papoyan
We derive exact finite-size corrections for the free energy of the Ising model on the square lattice with Brascamp-Kunz boundary conditions. We cal…
Extracting partition function zeros from Fukui-Todo simulations
Petro Sarkanych, Yurij Holovatch, Ralph Kenna +1
The Fukui-Todo algorithm is an important element of the array of simulational approaches to tackling critical phenomena in statistical physics. The partition-function-zero approach…