Helices in the wake of precipitation fronts.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Theoretical Physics, Eötvös University, 1017 Budapest, Hungary.

Published: August 2013

A theoretical study of the emergence of helices in the wake of precipitation fronts is presented. The precipitation dynamics is described by the Cahn-Hilliard equation and the fronts are obtained by quenching the system into a linearly unstable state. Confining the process onto the surface of a cylinder and using the pulled-front formalism, our analytical calculations show that there are front solutions that propagate into the unstable state and leave behind a helical structure. We find that helical patterns emerge only if the radius of the cylinder R is larger than a critical value R>R(c), in agreement with recent experiments.

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http://dx.doi.org/10.1103/PhysRevE.88.022141DOI Listing

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