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Spectral Methods for Self-Assembly

Erik Edlund (Institutionen för energi och miljö, Fysisk resursteori ; SuMo Biomaterials)
Göteborg : Chalmers University of Technology, 2011. - 88 s.

Conventional manufacturing relies on robotics and chemistry to create, shape and combine components into products. Nature shows us an alternative route: by carefully designing interactions between components, they can be made to spontaneously self-assemble into complex arrangements. The field of self-assembly has seen a series of experimental triumphs, but there is a relative dearth of theoretical results of the kind expected in physics. This thesis present some analytical results and their connection to self-assembly. The common theme is a focus on the energy spectrum of the (isotropic) interactions of a given model. Paper I solves an adaptation of the spherical spin model, demonstrating the centrality of the energy spectrum and predicting universal striped behavior. Paper II derives an alternative set of solutions, relevant for aggregating particle systems, and predicts a large but limited morphological alphabet. They both describe what happens typically, in systems with general interactions. Paper III represents a different take on the spectral picture, not trying to understand general interactions but to design specific ones. It presents a method that allows us to self-assemble complex crystal structures by matching an energy spectrum to the Fourier spectrum of the target structure. Interestingly, the method produces interactions for which we can prove that the target structure is a ground state.

Nyckelord: Self-assembly, classical spin models, patterns, colloids, isotropic interactions

Denna post skapades 2011-08-19. Senast ändrad 2016-03-31.
CPL Pubid: 144629


Institutioner (Chalmers)

Institutionen för energi och miljö, Fysisk resursteori
SuMo Biomaterials



Chalmers infrastruktur

Relaterade publikationer

Inkluderade delarbeten:

Universality of Striped Morphologies

Designing Isotropic Interactions for Self-Assembly of Complex Lattices

Novel Self-Assembled Morphologies from Isotropic Interactions


Datum: 2011-09-08
Tid: 10:00
Lokal: ML11, Hörsalsvägen 5, Maskinteknik, Chalmers
Opponent: Stellan Östlund