Moving waves and spatiotemporal patterns due to weak thermal effects in models of catalytic oxidation

TY - JOUR

T1 - Moving waves and spatiotemporal patterns due to weak thermal effects in models of catalytic oxidation

AU - Nekhamkina, Olga

AU - Sheintuch, Moshe

N1 - Funding Information: This work was supported by the Technion’s Fund for the Promotion of Research. M.S. is a member of the Minerva Center of Nonlinear Dynamics. O.N. was partially supported by the Center for Absorption in Science, Ministry of Immigrant Absorption State of Israel.

PY - 2005/5/15

Y1 - 2005/5/15

N2 - We analyze the behavior of a microkinetic model of a catalytic reaction coupled with weak enthalpy effects to show that under fixed gas-phase concentrations it can produce moving waves with an intrinsic length scale, when the underlying kinetics is oscillatory. The kinetic model incorporates dissociative oxygen adsorption, reactant adsorption and desorption, and surface reaction. Three typical patterns may emerge in a one-dimensional system (a long wire or a ring): homogeneous oscillations, a family of moving waves propagating with constant velocities, and patterns with multiple sourcesink points. Pattern selection depends on the ratio of the system length to the intrinsic wave length and the governing parameters. We complement these analysis with simulations that revealed a plethora of patterned states on one- and two-dimensional systems (a disk or a cylinder). This work shows that weak long-range coupling due to high feed rates maintains such patterns, while low feed rates or strong long-range interaction can gradually suppress the emerging patterns.

AB - We analyze the behavior of a microkinetic model of a catalytic reaction coupled with weak enthalpy effects to show that under fixed gas-phase concentrations it can produce moving waves with an intrinsic length scale, when the underlying kinetics is oscillatory. The kinetic model incorporates dissociative oxygen adsorption, reactant adsorption and desorption, and surface reaction. Three typical patterns may emerge in a one-dimensional system (a long wire or a ring): homogeneous oscillations, a family of moving waves propagating with constant velocities, and patterns with multiple sourcesink points. Pattern selection depends on the ratio of the system length to the intrinsic wave length and the governing parameters. We complement these analysis with simulations that revealed a plethora of patterned states on one- and two-dimensional systems (a disk or a cylinder). This work shows that weak long-range coupling due to high feed rates maintains such patterns, while low feed rates or strong long-range interaction can gradually suppress the emerging patterns.

UR - http://www.scopus.com/inward/record.url?scp=21444450350&partnerID=8YFLogxK

U2 - 10.1063/1.1896349

DO - 10.1063/1.1896349

M3 - 文章

AN - SCOPUS:21444450350

SN - 0021-9606

VL - 122

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 19

M1 - 194701

ER -