21 citations · 170 across the 35 of their papers we have counts for
6 papers · 1 filter
A proof of finite crystallization via stratification
Leonard Kreutz, Manuel Friedrich
We devise a new technique to prove two-dimensional crystallization results in the square lattice for finite particle systems. We apply this strategy to energy minimizers of configu…
Crystallization in a one-dimensional periodic landscape
Manuel Friedrich, Ulisse Stefanelli
We consider the crystallization problem for a finite one-dimensional collection of identical hard spheres in a periodic energy landscape. This issue arises in connection with the i…
Atomistic potentials and the Cauchy-Born rule for carbon nanotubes: a review
Manuel Friedrich, Edoardo Mainini, Paolo Piovano
Carbon nanotubes are modeled as point particle configurations in the framework of Molecular Mechanics, where interactions are described by means of short range attractive-repulsive…
Crystallization in the hexagonal lattice for ionic dimers
Manuel Friedrich, Leonard Kreutz
We consider finite discrete systems consisting of two different atomic types and investigate ground-state configurations for configurational energies featuring two-body short-range…
Graphene ground states
Manuel Friedrich, Ulisse Stefanelli
Graphene is locally two-dimensional but not flat. Nanoscale ripples appear in suspended samples and rolling-up often occurs when boundaries are not fixed. We address this variety o…
Ripples in graphene: A variational approach
Manuel Friedrich, Ulisse Stefanelli
Suspended graphene samples are observed to be gently rippled rather than being flat. In [M. Friedrich, U. Stefanelli. Graphene ground states, arXiv:1802.05049], we have checked tha…