Outputs (2)

Hexagonal Patterns in a Simplified Model for Block Copolymers (2014)
Journal Article
Bourne, D., Peletier, M., & Roper, S. (2014). Hexagonal Patterns in a Simplified Model for Block Copolymers. SIAM Journal on Applied Mathematics, 74(5), 1315-1337. https://doi.org/10.1137/130922732

In this paper we study a new model for patterns in two dimensions, inspired by diblock copolymer melts with a dominant phase. The model is simple enough to be amenable not only to numerics but also to analysis, yet sophisticated enough to reproduce h... Read More about Hexagonal Patterns in a Simplified Model for Block Copolymers.

Optimality of the Triangular Lattice for a Particle System with Wasserstein Interaction (2014)
Journal Article
Bourne, D., Peletier, M., & Theil, F. (2014). Optimality of the Triangular Lattice for a Particle System with Wasserstein Interaction. Communications in Mathematical Physics, 329(1), 117-140. https://doi.org/10.1007/s00220-014-1965-5

We prove strong crystallization results in two dimensions for an energy that arises in the theory of block copolymers. The energy is defined on sets of points and their weights, or equivalently on the set of atomic measures. It consists of two terms;... Read More about Optimality of the Triangular Lattice for a Particle System with Wasserstein Interaction.