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ZB 10 - Soft Condensed Matter (R. Holyst)
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!

Publication

Tiling a plane in a dynamical process and its applications to arrays of quantum dots, drums, and heat transfer

Author(s): Cybulski, O and Holyst, R
Title: Tiling a plane in a dynamical process and its applications to arrays of quantum dots, drums, and heat transfer
Abstract: We present a reaction-diffusion system consisting of N components. The of the system leads to the partition of the plane into cells, occupied by only one component. For large N, the stationary state a periodic array of hexagonal cells. We present a functional of densities of the components, which decreases monotonically during evolution and attains its minimal value in the stationary state. value is equal to the sum of the first Laplacian eigenvalues for cells. Thus, the resulting partition of the plane is determined by of the sum of the eigenvalues, and not by the minimization of the total perimeter of the cells as in the famous honeycomb problem.
Journal: PHYSICAL REVIEW LETTERS
Volume: 95
ID: ISI:000231310900073
Year: 2005
DOI: 10.1103/PhysRevLett.95.088304

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