3 papers
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2024
On a previously unpublished work with Ralph Kenna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This is part of an unpublished work in collaboration with Ralph Kenna.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…
cond-mat.stat-mech2024
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…