Surface light-induced changes in thin polymer films
Andrew Skumanich
SPIE Optics Quebec 1993
We illustrate and extend the techniques of computational mechanics in explicating the structures that emerge in the space-time behavior of elementary one-dimensional cellular automaton rule 54. The dominant regular domain of the cellular automation is identified and a domain filter is constructed to locate and classify defects in the domain. The primary particles are identified and a range of interparticle interactions is studied. The deterministic equation of motion of the filtered space-time behavior is derived. Filters of increasing sophistication are constructed for the efficient gathering of particle statistics and for the identification of higher-level defects, particle interactions, and secondary domains. We define the emergence time at which the space-time behavior condenses into configurations consisting only of domains, particles, and particle interactions. Taken together, these techniques serve as the basis for the investigation of pattern evolution and self-organization in this representative system.
Andrew Skumanich
SPIE Optics Quebec 1993
Joy Y. Cheng, Daniel P. Sanders, et al.
SPIE Advanced Lithography 2008
J. LaRue, C. Ting
Proceedings of SPIE 1989
L Auslander, E Feig, et al.
Advances in Applied Mathematics