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- István Z Kiss, Lindsey N Pelster, Mahesh Wickramasinghe, Gregory S Yablonsky
- Physical chemistry chemical physics : PCCP
- 2009

An approximate formula for the frequency of oscillations is theoretically derived for skeleton models for electrochemical systems exhibiting negative differential resistance (NDR) under conditions close to supercritical Hopf bifurcation points. The theoretically predicted omega infinity (k/R)1/2 relationship (where R is the series resistance of the cell and… (More)

- Denis Constales, G. S. Yablonsky, G. B. Marin
- Computers & Mathematics with Applications
- 2013

For many real physico-chemical complex systems detailed mechanism includes both reversible and irreversible reactions. Such systems are typical in homogeneous combustion and heterogeneous catalytic oxidation. Most complex enzyme reactions include irreversible steps. The classical thermodynamics has no limit for irreversible reactions whereas the kinetic… (More)

– We study coupled irreversible processes. For linear or linearized kinetics with microreversibility, ˙ x = Kx, the kinetic operator K is symmetric in the entropic inner product. This form of Onsager's reciprocal relations implies that the shift in time, exp(Kt), is also a symmetric operator. This generates the reciprocity relations between the kinetic… (More)

- A. N. Gorban, G. S. Yablonsky
- Computers & Mathematics with Applications
- 2013

The century of complexity has come. Many people write and speak about complexity. The statement of the great physicist Stephen Hawking, " I think the next century will be the century of complexity, " in his 'millennium' interview on January 23, 2000 (San Jose Mercury News) became a widely cited prophecy. The face of science has changed (see cartoon in Fig.… (More)

- Kanheya Mehrotra, Gregory S Yablonsky, Ajay K Ray
- Chemosphere
- 2005

Semiconductor photocatalytic process has been studied extensively in recent years due to its intriguing advantages in environmental remediation. In this study, a two-phase swirl-flow monolithic-type reactor is used to study the kinetics of photocatalytic degradation of benzoic acid in immobilized systems. Transport contributions into the observed… (More)

- Daniel Branco Pinto, G. S. Yablonsky, G. B. Marin, Denis Constales
- Entropy
- 2015

EXTENDED ABSTRACT The analysis of complex reaction networks can be performed in two complementary ways: (a) Insight in the chemistry of the investigated process can be translated into so-called chemical rules. This can be implemented as algorithms in computer code, allowing the automatic generation of reaction networks consisting of several thousands of… (More)

- Michael J Hankins, Gregory S Yablonsky, István Z Kiss
- PloS one
- 2017

We introduce dual kinetic chronoamperometry, in which reciprocal relations are established between the kinetic curves of electrochemical reactions that start from symmetrical initial conditions. We have performed numerical and experimental studies in which the kinetic curves of the electron-transfer processes are analyzed for a reversible first order… (More)