Helices in the wake of precipitation fronts

S Thomas, I Lagzi, F Molnár Jr, Z Rácz - Physical Review E—Statistical …, 2013 - APS
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 2013APS
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 …
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 is larger than a critical value , in agreement with recent experiments.
American Physical Society
以上显示的是最相近的搜索结果。 查看全部搜索结果