TY - JOUR
T1 - Transition of Liesegang Precipitation Systems: Simulations with an Adaptive Grid PDE Method
AU - Paul A. Zegeling, István Lagzi & Ferenc Izsák
JO - Communications in Computational Physics
VL - 4
SP - 867
EP - 881
PY - 2011
DA - 2011/10
SN - 10
DO - http://doi.org/10.4208/cicp.050510.031210a
UR - https://global-sci.org/intro/article_detail/cicp/7465.html
KW - 
AB - <p style="text-align: justify;">The dynamics of the Liesegang type pattern formation is investigated in a
centrally symmetric two-dimensional setup. According to the observations in real experiments,
the qualitative change of the dynamics is exhibited for slightly different
initial conditions. Two kinds of chemical mechanisms are studied; in both cases the
pattern formation is described using a phase separation model including the Cahn-Hilliard
equations. For the numerical simulations we make use of an adaptive grid
PDE method, which successfully deals with the computationally critical cases such as
steep gradients in the concentration distribution and investigation of long time behavior.
The numerical simulations show a good agreement with the real experiments.</p>