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Computing with liquid crystal fingers: Models of geometric and logical computation

Kitson, Stephen; Matranga, Mario Ariosto; Younger, Daniel; de Lacy Costello, Ben; Adamatzky, Andrew

Authors

Stephen Kitson

Mario Ariosto Matranga

Daniel Younger



Abstract

When a voltage is applied across a thin layer of cholesteric liquid crystal, fingers of cholesteric alignment can form and propagate in the layer. In computer simulation, based on experimental laboratory results, we demonstrate that these cholesteric fingers can solve selected problems of computational geometry, logic, and arithmetics. We show that branching fingers approximate a planar Voronoi diagram, and nonbranching fingers produce a convex subdivision of concave polygons. We also provide a detailed blueprint and simulation of a one-bit half-adder functioning on the principles of collision-based computing, where the implementation is via collision of liquid crystal fingers with obstacles and other fingers. © 2011 American Physical Society.

Journal Article Type Article
Publication Date Dec 12, 2011
Journal Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Print ISSN 2470-0045
Electronic ISSN 1550-2376
Publisher American Physical Society
Peer Reviewed Not Peer Reviewed
Volume 84
Issue 6
APA6 Citation Younger, D., Matranga, M. A., Costello, B. D. L., Kitson, S., Adamatzky, A., & de Lacy Costello, B. (2011). Computing with liquid crystal fingers: Models of geometric and logical computation. Physical Review E, 84(6), https://doi.org/10.1103/PhysRevE.84.061702
DOI https://doi.org/10.1103/PhysRevE.84.061702
Keywords computing, liquid crystal fingers, geometric, logical computation
Publisher URL http://dx.doi.org/10.1103/PhysRevE.84.061702
Additional Information Corporate Creators : Stephen Kitson - HP Labs, Mario Ariosto Matranga - HP Labs, Daniel Younger - HP Labs

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