From the 1 of 6 linked papers with an AI index.
6 papers
Surface Phase-Field-Crystal-Helfrich model for out-of-plane deformations in thin crystalline sheets with lattice mismatch
Emma Radice, Ingo Nitschke, Marco Salvalaglio +1
The paper extends a surface Phase-Field-Crystal-Helfrich model to capture coupled in‑plane elasticity and out‑of‑plane deformations in thin crystalline sheets with spatially varyin…
Scalar Truesdell Time Derivative and -- Surface Gradient Flows
Rainer Backofen, Ingo Nitschke, Axel Voigt
We address surface gradient flows which allow for energy dissipation by evolving the surface and a scalar quantity on it, simultaneously. A proper choice of the time derivative and…
Hydrodynamic liquid crystal models for lipid bilayers
Ingo Nitschke, Jan Magnus Sischka, Axel Voigt
Coarse-grained continuous descriptions for lipid bilayers are typically based on minimizing the Helfrich energy. Such models consider the fluid properties of these structures only…
Solid-State Dewetting of Polycrystalline Thin Films: a Phase Field Approach
Paul Hoffrogge, Nils Becker, Daniel Schneider +3
Solid-state dewetting is the process by which thin solid films break up and retract on a substrate, forming nanostructures. While dewetting of single-crystalline films is understoo…
A topological approach to the Cahn-Hilliard equation and hyperuniform fields
Abel H. G. Milor, Otto Sumray, Heather A. Harrington +2
Hyperuniform structures are disordered, correlated systems in which density fluctuations are suppressed at large scales. Such a property generalizes the concept of order in pattern…
The influence of higher order geometric terms on the asymmetry and dynamics of membranes
Jan Magnus Sischka, Ingo Nitschke, Axel Voigt
We consider membranes as fluid deformable surface and allow for higher order geometric terms in the bending energy. The evolution equations are derived and numerically solved using…