93 citations · 214 across the 12 of their papers we have counts for
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math.AP2016★ 14 cited
Discrete minimisers are close to continuum minimisers for the interaction energy
J. A. Cañizo, F. S. Patacchini
Under suitable technical conditions we show that minimisers of the discrete interaction energy for attractive-repulsive potentials converge to minimisers of the corresponding conti…
cond-mat.mtrl-sci2016★ 14 cited
A revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel
D. Hömberg, F. S. Patacchini, K. Sakamoto +1
The classical Johnson-Mehl-Avrami-Kolmogorov approach for nucleation and growth models of diffusive phase transitions is revisited and applied to model the growth of ferrite in mul…
math.AP2016★ 35 cited
Geometry of minimizers for the interaction energy with mildly repulsive potentials
J. A. Carrillo, A. Figalli, F. S. Patacchini
We show that the support of any local minimizer of the interaction energy consists of isolated points whenever the interaction potential is of class and mildly repulsive at t…