129 citations · 1.6k across the 77 of their papers we have counts for
78 papers
Scaling and Finite-Size Scaling above the Upper Critical Dimension
Ralph Kenna, Bertrand Berche
In the 1960's, four famous scaling relations were developed which relate the six standard critical exponents describing continuous phase transitions in the thermodynamic limit of s…
The extraordinary story of Sinann -- the inspirational figure who gave her name to Ireland longest river -- and how she arose Ireland's resilient female icons
Ralph Kenna, Chris Thompson, Isolde Ó Brolcháin Carmody +7
When local authorities recently selected a neoclassical male "river god head" of colonial origin to represent Ireland's longest river, it was welcomed as "harking back to Irish myt…
"The greatest Poet that has [n]ever existed" -- A Narrative Networks Analysis of the Poems of Ossian
Ralph Kenna, Padraig MacCarron, Thierry Platini +2
Surprising as it may seem, applications of statistical methods to physics were inspired by the social sciences, which in turn are linked to the humanities. So perhaps it is not as…
The fifty-year quest for universality in percolation theory in high dimensions
T. Ellis, R. Kenna, B. Berche
Although well described by mean-field theory in the thermodynamic limit, scaling has long been puzzling for finite systems in high dimensions. This raised questions about the effic…
Potts Model with Invisible States: A Review
Mariana Krasnytska, Petro Sarkanych, Bertrand Berche +2
The Potts model with invisible states was introduced to explain discrepancies between theoretical predictions and experimental observations of phase transitions in some systems whe…
Phase transitions above the upper critical dimension
Bertrand Berche, Tim Ellis, Yurij Holovatch +1
These lecture notes provide an overview of the renormalization group (RG) as a successful framework to understand critical phenomena above the upper critical dimension …