59 citations · 176 across the 17 of their papers we have counts for
19 papers
Leading order asymptotics for non-local energies and the Read-Shockley law
Peter J. Grabner, Florian Theil
We study an energy minimization problem for points with applications in dislocation theory. The points lie i…
Coupling Temperature Distribution with the Single Particle Model
Matthew Hunt, Florian Theil, Ferran Brosa Planella +1
The DFN (Doyle-Fuller-Newman) model is well know for being accurate and computationally expensive. In situations where temperature gradients are important (eg fast charging) it is…
Distribution of cracks in a chain of atoms at low temperature
Sabine Jansen, Wolfgang König, Bernd Schmidt +1
We consider a one-dimensional classical many-body system with interaction potential of Lennard-Jones type in the thermodynamic limit at low temperature . The grou…
Derivation of an Effective Thermal Electrochemical Model for Porous Electrode Batteries using Asymptotic Homogenisation
Matthew J. Hunt, Ferran Brosa Planella, Florian Theil +1
Thermal electrochemical models for porous electrode batteries (such as lithium ion batteries) are widely used. Due to the multiple scales involved, solving the model accounting for…
Long range order in atomistic models for solids
Alessandro Giuliani, Florian Theil
The emergence of long-range order at low temperatures in atomistic systems with continuous symmetry is a fundamental, yet poorly understood phenomenon in Physics. To address this c…
Surface energy and boundary layers for a chain of atoms at low temperature
Sabine Jansen, Wolfgang König, Bernd Schmidt +1
We analyze the surface energy and boundary layers for a chain of atoms at low temperature for an interaction potential of Lennard-Jones type. The pressure (stress) is assumed small…