On Oscillations and Noise in Multicomponent Adsorption: The Nature of Multiple Stationary States
Apstrakt
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.
Izvor:
Advances in Mathematical Physics, 2019, 2019, 7687643-Izdavač:
- Hindawi
Finansiranje / projekti:
- Mikro, nano-sistemi i senzori za primenu u elektroprivredi, procesnoj industriji i zaštiti životne sredine (RS-32008)
- Dinamika nelinearnih fizičkohemijskih i biohemijskih sistema sa modeliranjem i predviđanjem njihovih ponašanja pod neravnotežnim uslovima (RS-172015)
DOI: 10.1155/2019/7687643
ISSN: 1687-9120
WoS: 000455729200001
Scopus: 2-s2.0-85060184720
Institucija/grupa
IHTMTY - 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 . .