TY - JOUR
T1 - Impact of environmental noise on oscillatory pattern formation in crystal growth
T2 - Plagioclase feldspar
AU - Katsev, Sergei
AU - L’Heureux, Ivan
PY - 2000
Y1 - 2000
N2 - Recently, a model for oscillatory zoning in a geochemical system (plagioclase feldspar) was proposed. In that model, oscillations in the composition are generated through a Hopf bifurcation. In this paper, the effects of fluctuations of the bulk composition are studied by means of computer simulations. It is shown that environmental noise can lead to pattern formation such as oscillatory zoning, even when no deterministic periodic solutions exist. The fluctuations in the bulk composition thus lead to an enlargement of the range of system’s variables values for which oscillatory zoning occurs. Coherence resonance close to the Hopf bifurcation is also observed in such a system.
AB - Recently, a model for oscillatory zoning in a geochemical system (plagioclase feldspar) was proposed. In that model, oscillations in the composition are generated through a Hopf bifurcation. In this paper, the effects of fluctuations of the bulk composition are studied by means of computer simulations. It is shown that environmental noise can lead to pattern formation such as oscillatory zoning, even when no deterministic periodic solutions exist. The fluctuations in the bulk composition thus lead to an enlargement of the range of system’s variables values for which oscillatory zoning occurs. Coherence resonance close to the Hopf bifurcation is also observed in such a system.
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U2 - 10.1103/PhysRevE.61.4972
DO - 10.1103/PhysRevE.61.4972
M3 - Article
AN - SCOPUS:0001060143
SN - 1063-651X
VL - 61
SP - 4972
EP - 4979
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 - 5
ER -