259 citations · 299 across the 5 of their papers we have counts for
5 papers
An orientation-field model for polycristalline solidification with a singular coupling between order and orientation
Hervé Henry, Jesper Mellenthin, Mathis Plapp
The solidification of polycrystalline materials can be modelled by orientation-field models, which are formulated in terms of two continuous fields: a phase field that describes th…
Phase-field crystal study of grain-boundary premelting
Jesper Mellenthin, Alain Karma, Mathis Plapp
We study the phenomenon of grain-boundary premelting for temperatures below the melting point in the phase-field crystal model of a pure material with hexagonal ordering in two dim…
Application of the Trace Formula in Pseudointegrable Systems
Stefanie Russ, Jesper Mellenthin
We apply periodic-orbit theory to calculate the integrated density of states from the periodic orbits of pseudointegrable polygon and barrier billiards. We show that the res…
Periodic orbit theory in fractal drum
Stefanie Russ, Jesper Mellenthin
The level statistics of pseudointegrable fractal drums is studied numerically using periodic orbit theory. We find that the spectral rigidity , which is a measure for the c…
Periodic orbit theory and spectral rigidity in pseudointegrable systems
J. Mellenthin, S. Russ
We calculate numerically the periodic orbits of pseudointegrable systems of low genus numbers that arise from rectangular systems with one or two salient corners. From the peri…