Florian Nolte
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Florian Nolte has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Hans Knüpfer
MATCH and IWR, INF 205, University of Heidelberg, Heidelberg, Germany
2 shared publications - Laurent Bétermin
Institut Camille Jordan Université Claude Bernard Lyon 1 43 Bd du 11 novembre 1918 69622 Villeurbanne Cedex France
2 shared publications
Latest Publications
- Open Access
- 13 July 2020
- Published by Springer Nature in Journal of Statistical Physics
- Vol. 181 (3) , 803-815
Note on Crystallization for Alternating Particle Chains
We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fixed density—also called crystallization—is shown in various settings. In particular, we prove the crystallization at any scale for neutral and non-neutral systems with inverse power laws interactions, including the three-dimensional Coulomb potential. We also show the minimality of the equidistant configuration at high density for systems involving inverse power laws and repulsion at the origin. Furthermore, we derive a necessary condition for crystallization at high density based on the positivity of the Fourier transform of the interaction potentials sum.
- 13 July 2020
- Published by Springer Nature in Journal of Statistical Physics
- Vol. 181 (3) , 803-815
Open AccessNote on Crystallization for Alternating Particle Chains
We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fixed density—also called crystallization—is shown in various settings. In particular, we prove the crystallization at any scale for neutral and non-neutral systems with inverse power laws interactions, including the three-dimensional Coulomb potential. We also show the minimality of the equidistant configuration at high density for systems involving inverse power laws and repulsion at the origin. Furthermore, we derive a necessary condition for crystallization at high density based on the positivity of the Fourier transform of the interaction potentials sum.
- Open Access
Note on crystallization for alternating particle chains
We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fixed density -- also called crystallization -- is shown in various settings. In particular, we prove the crystallization at any scale for neutral and non-neutral systems with inverse power laws interactions, including the three-dimensional Coulomb potential. We also show the minimality of the equidistant configuration at high density for systems involving inverse power laws and repulsion at the origin. Furthermore, we derive a necessary condition for crystallization at high density based on the positivity of the Fourier transform of the interaction potentials sum.
Open AccessNote on crystallization for alternating particle chains
We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fixed density -- also called crystallization -- is shown in various settings. In particular, we prove the crystallization at any scale for neutral and non-neutral systems with inverse power laws interactions, including the three-dimensional Coulomb potential. We also show the minimality of the equidistant configuration at high density for systems involving inverse power laws and repulsion at the origin. Furthermore, we derive a necessary condition for crystallization at high density based on the positivity of the Fourier transform of the interaction potentials sum.