39 citations · 323 across the 26 of their papers we have counts for
27 papers
Differential geometry, a possible avenue for thermal ablation in oncology?
Andy Manapany, Loriane Didier, Leïla Moueddene +2
We report a model for hyperthermia therapies based on heat diffusion in a biological tissue containing a topological defect. Biological tissues behave like active liquid crystals w…
Fractional diffusion equations interpolate between damping and waves
Andy Manapany, Sébastien Fumeron, Malte Henkel
The behaviour of the solutions of the time-fractional diffusion equation, based on the Caputo derivative, is studied and its dependence on the fractional exponent is analysed. The…
Fractional cosmic strings
Sebastien Fumeron, Malte Henkel, Alexander Lopez
Topological defects in the framework of effective quantum gravity model are investigated, based on the hypothesis of an effective fractal dimension of the universe. This is done by…
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.…
An Abelian Higgs model for disclinations in nematics
A. de Pádua Santos, F. Moraes, F. A. N. Santos +1
Topological defects in elastic media may be described by a geometric field akin to three-dimensional gravity. From this point of view, disclinations are line defects of zero width…
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…