TY - JOUR
T1 - Tuning the range of spatial coupling in electrochemical systems
T2 - From local via nonlocal to global coupling
AU - Mazouz, Nadia
AU - Flätgen, Georg
AU - Krischer, Katharina
PY - 1997
Y1 - 1997
N2 - A specific feature of pattern formation in electrochemical systems is the occurrence of accelerated fronts; they can be attributed to long-range spatial coupling. In this paper we demonstrate that different coupling functions can be realized by tuning easily accessible parameters: The range of the coupling crucially depends on the length scales of the system, and the strength of the coupling is proportional to the conductivity of the electrolyte. Simulations in the bistable regime are presented which illustrate how the front behavior changes qualitatively when length scales or conductivity are varied.
AB - A specific feature of pattern formation in electrochemical systems is the occurrence of accelerated fronts; they can be attributed to long-range spatial coupling. In this paper we demonstrate that different coupling functions can be realized by tuning easily accessible parameters: The range of the coupling crucially depends on the length scales of the system, and the strength of the coupling is proportional to the conductivity of the electrolyte. Simulations in the bistable regime are presented which illustrate how the front behavior changes qualitatively when length scales or conductivity are varied.
UR - http://www.scopus.com/inward/record.url?scp=0000738854&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.55.2260
DO - 10.1103/PhysRevE.55.2260
M3 - Article
AN - SCOPUS:0000738854
SN - 1063-651X
VL - 55
SP - 2260
EP - 2266
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 3
ER -