298 citations · 530 across the 15 of their papers we have counts for
10 papers · 1 filter
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On a previously unpublished work with Ralph Kenna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This is part of an unpublished work in collaboration with Ralph Kenna.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…
When correlations exceed system size: finite-size scaling in free boundary conditions above the upper critical dimension
Yu. Honchar, B. Berche, Yu. Holovatch +1
We progress finite-size scaling in systems with free boundary conditions above their upper critical dimension, where in the thermodynamic limit critical scaling is described by mea…
Marginal dimensions of the Potts model with invisible states
M. Krasnytska, P. Sarkanych, B. Berche +2
We reconsider the mean-field Potts model with interacting and non-interacting (invisible) states. The model was recently introduced to explain discrepancies between theoret…