216 citations · 2.4k across the 119 of their papers we have counts for
122 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…
On the possibility of classical vacuum polarization and magnetization
Sébastien Fumeron, Fernando Moraes, Bertrand Berche
It is common practice to take for granted the equality (up to the constant ) of the electric displacement () and electric () field vectors in vacuum.…
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…
Geometric theory of topological defects: methodological developments and new trends
Sébastien Fumeron, Bertrand Berche, Fernando Moraes
Liquid crystals generally support orientational singularities of the director field known as topological defects. These latter modifiy transport properties in their vicinity as if…
Spin polarization induced by decoherence in a tunneling one-dimensional Rashba model
S. Varela, M. Peralta, V. Mujica +2
Basic questions on the nature of spin polarization in two terminal systems and the way in which decoherence breaks Time-Reversal Symmetry (TRS) are analyzed. We exactly solve sever…