Pulse dynamics and interaction on anisotropic surfaces: A computer-assisted study

J. Krishnan; Markus Bär; Ronald Imbihl; Ioannis G. Kevrekidis

doi:10.1016/S0009-2509(99)00321-8

Pulse dynamics and interaction on anisotropic surfaces: A computer-assisted study

J. Krishnan, Markus Bär, Ronald Imbihl, Ioannis G. Kevrekidis

Chemical & Biological Engineering

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

The anisotropy of metal crystal surfaces is known to affect the dynamics of travelling concentration wavetrains (including front- and pulse-like waves) observed in heterogeneous catalytic reactions. Motivated by experiments on microdesigned catalyst surfaces we present a computer-assisted study on the stability of pulse-like solutions of reaction-diffusion equations in thin (quasi-one-dimensional) anisotropic media. Results on a period doubling instability of a rotating pulse and on the interaction of two pulses in a system with periodic boundaries are reported.

Original language	English (US)
Pages (from-to)	257-266
Number of pages	10
Journal	Chemical Engineering Science
Volume	55
Issue number	2
DOIs	https://doi.org/10.1016/S0009-2509(99)00321-8
State	Published - Jan 2000
Event	Proceedings of the 1998 Symposium on Non-Linear Dynamics in Chemical and Bioengineering Processes - CHISA '98 - Prague, Czech Republic Duration: Aug 23 1998 → Aug 28 1998

All Science Journal Classification (ASJC) codes

General Chemistry
General Chemical Engineering
Industrial and Manufacturing Engineering

Keywords

Anisotrophy
Catalytic reactions
Dynamics
Pulses

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10.1016/S0009-2509(99)00321-8

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title = "Pulse dynamics and interaction on anisotropic surfaces: A computer-assisted study",

abstract = "The anisotropy of metal crystal surfaces is known to affect the dynamics of travelling concentration wavetrains (including front- and pulse-like waves) observed in heterogeneous catalytic reactions. Motivated by experiments on microdesigned catalyst surfaces we present a computer-assisted study on the stability of pulse-like solutions of reaction-diffusion equations in thin (quasi-one-dimensional) anisotropic media. Results on a period doubling instability of a rotating pulse and on the interaction of two pulses in a system with periodic boundaries are reported.",

keywords = "Anisotrophy, Catalytic reactions, Dynamics, Pulses",

author = "J. Krishnan and Markus B{\"a}r and Ronald Imbihl and Kevrekidis, {Ioannis G.}",

note = "Funding Information: This work was partially supported by the National Science Foundation and the Alexander von Humboldt Foundation. ; Proceedings of the 1998 Symposium on Non-Linear Dynamics in Chemical and Bioengineering Processes - CHISA '98 ; Conference date: 23-08-1998 Through 28-08-1998",

year = "2000",

month = jan,

doi = "10.1016/S0009-2509(99)00321-8",

language = "English (US)",

volume = "55",

pages = "257--266",

journal = "Chemical Engineering Science",

issn = "0009-2509",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Pulse dynamics and interaction on anisotropic surfaces

T2 - Proceedings of the 1998 Symposium on Non-Linear Dynamics in Chemical and Bioengineering Processes - CHISA '98

AU - Krishnan, J.

AU - Bär, Markus

AU - Imbihl, Ronald

AU - Kevrekidis, Ioannis G.

N1 - Funding Information: This work was partially supported by the National Science Foundation and the Alexander von Humboldt Foundation.

PY - 2000/1

Y1 - 2000/1

N2 - The anisotropy of metal crystal surfaces is known to affect the dynamics of travelling concentration wavetrains (including front- and pulse-like waves) observed in heterogeneous catalytic reactions. Motivated by experiments on microdesigned catalyst surfaces we present a computer-assisted study on the stability of pulse-like solutions of reaction-diffusion equations in thin (quasi-one-dimensional) anisotropic media. Results on a period doubling instability of a rotating pulse and on the interaction of two pulses in a system with periodic boundaries are reported.

AB - The anisotropy of metal crystal surfaces is known to affect the dynamics of travelling concentration wavetrains (including front- and pulse-like waves) observed in heterogeneous catalytic reactions. Motivated by experiments on microdesigned catalyst surfaces we present a computer-assisted study on the stability of pulse-like solutions of reaction-diffusion equations in thin (quasi-one-dimensional) anisotropic media. Results on a period doubling instability of a rotating pulse and on the interaction of two pulses in a system with periodic boundaries are reported.

KW - Anisotrophy

KW - Catalytic reactions

KW - Dynamics

KW - Pulses

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U2 - 10.1016/S0009-2509(99)00321-8

DO - 10.1016/S0009-2509(99)00321-8

M3 - Conference article

AN - SCOPUS:0042900814

SN - 0009-2509

VL - 55

SP - 257

EP - 266

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 2

Y2 - 23 August 1998 through 28 August 1998

ER -

Pulse dynamics and interaction on anisotropic surfaces: A computer-assisted study

Abstract

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