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On Oscillations and Noise in Multicomponent Adsorption: The Nature of Multiple Stationary States

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2019
2485.pdf (1.856Mb)
Authors
Jakšić, Olga
Jakšić, Zoran
Rašljić, Milena
Kolar-Anić, Ljiljana
Article (Published version)
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Abstract
Starting from the fact that monocomponent adsorption, whether modeled by Lagergren or nonlinear Riccati equation, does not sustain oscillations, we speculate about the nature of multiple steady state states in multicomponent adsorption with second-order kinetics and about the possibility that multicomponent adsorption might exhibit oscillating behavior, in order to provide a tool for better discerning possible oscillations from inevitable fluctuations in experimental results or a tool for a better control of adsorption process far from equilibrium. We perform an analysis of stability of binary adsorption with second-order kinetics in multiple ways. We address perturbations around the steady state analytically, first in a classical way, then by introducing Langevin forces and analyzing the reaction flux and cross-correlations, then by applying the stochastic chemical master equation approach, and finally, numerically, by using stochastic simulation algorithms. Our results show that stat...ionary states in this model are stable nodes. Hence, experimental results with purported oscillations in response should be addressed from the point of view of fluctuations and noise analysis.

Source:
Advances in Mathematical Physics, 2019, 2019, 7687643-
Publisher:
  • Hindawi
Funding / projects:
  • Micro- Nanosystems and Sensors for Electric Power and Process Industry and Environmental Protection (RS-32008)
  • Dynamics of nonlinear physicochemical and biochemical systems with modeling and predicting of their behavior under nonequilibrium conditions (RS-172015)

DOI: 10.1155/2019/7687643

ISSN: 1687-9120

WoS: 000455729200001

Scopus: 2-s2.0-85060184720
[ Google Scholar ]
4
2
URI
https://cer.ihtm.bg.ac.rs/handle/123456789/2487
Collections
  • Radovi istraživača / Researchers' publications
Institution/Community
IHTM
TY  - JOUR
AU  - Jakšić, Olga
AU  - Jakšić, Zoran
AU  - Rašljić, Milena
AU  - Kolar-Anić, Ljiljana
PY  - 2019
UR  - https://cer.ihtm.bg.ac.rs/handle/123456789/2487
AB  - Starting from the fact that monocomponent adsorption, whether modeled by Lagergren or nonlinear Riccati equation, does not sustain oscillations, we speculate about the nature of multiple steady state states in multicomponent adsorption with second-order kinetics and about the possibility that multicomponent adsorption might exhibit oscillating behavior, in order to provide a tool for better discerning possible oscillations from inevitable fluctuations in experimental results or a tool for a better control of adsorption process far from equilibrium. We perform an analysis of stability of binary adsorption with second-order kinetics in multiple ways. We address perturbations around the steady state analytically, first in a classical way, then by introducing Langevin forces and analyzing the reaction flux and cross-correlations, then by applying the stochastic chemical master equation approach, and finally, numerically, by using stochastic simulation algorithms. Our results show that stationary states in this model are stable nodes. Hence, experimental results with purported oscillations in response should be addressed from the point of view of fluctuations and noise analysis.
PB  - Hindawi
T2  - Advances in Mathematical Physics
T1  - On Oscillations and Noise in Multicomponent Adsorption: The Nature of Multiple Stationary States
VL  - 2019
SP  - 7687643
DO  - 10.1155/2019/7687643
ER  - 
@article{
author = "Jakšić, Olga and Jakšić, Zoran and Rašljić, Milena and Kolar-Anić, Ljiljana",
year = "2019",
abstract = "Starting from the fact that monocomponent adsorption, whether modeled by Lagergren or nonlinear Riccati equation, does not sustain oscillations, we speculate about the nature of multiple steady state states in multicomponent adsorption with second-order kinetics and about the possibility that multicomponent adsorption might exhibit oscillating behavior, in order to provide a tool for better discerning possible oscillations from inevitable fluctuations in experimental results or a tool for a better control of adsorption process far from equilibrium. We perform an analysis of stability of binary adsorption with second-order kinetics in multiple ways. We address perturbations around the steady state analytically, first in a classical way, then by introducing Langevin forces and analyzing the reaction flux and cross-correlations, then by applying the stochastic chemical master equation approach, and finally, numerically, by using stochastic simulation algorithms. Our results show that stationary states in this model are stable nodes. Hence, experimental results with purported oscillations in response should be addressed from the point of view of fluctuations and noise analysis.",
publisher = "Hindawi",
journal = "Advances in Mathematical Physics",
title = "On Oscillations and Noise in Multicomponent Adsorption: The Nature of Multiple Stationary States",
volume = "2019",
pages = "7687643",
doi = "10.1155/2019/7687643"
}
Jakšić, O., Jakšić, Z., Rašljić, M.,& Kolar-Anić, L.. (2019). On Oscillations and Noise in Multicomponent Adsorption: The Nature of Multiple Stationary States. in Advances in Mathematical Physics
Hindawi., 2019, 7687643.
https://doi.org/10.1155/2019/7687643
Jakšić O, Jakšić Z, Rašljić M, Kolar-Anić L. On Oscillations and Noise in Multicomponent Adsorption: The Nature of Multiple Stationary States. in Advances in Mathematical Physics. 2019;2019:7687643.
doi:10.1155/2019/7687643 .
Jakšić, Olga, Jakšić, Zoran, Rašljić, Milena, Kolar-Anić, Ljiljana, "On Oscillations and Noise in Multicomponent Adsorption: The Nature of Multiple Stationary States" in Advances in Mathematical Physics, 2019 (2019):7687643,
https://doi.org/10.1155/2019/7687643 . .

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