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We study coupled irreversible processes. For linear or linearized kinetics with microreversibility, ẋ=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 curves.… (More)

A systematic analysis has been carried out to distinguish “kinetic” and “transport” limited regimes for photocatalytic degradation in a TiO2 slurry system using benzoic acid as a model component. Experiments were performed to investigate the effect of both monoparametric (e.g., catalyst loading, circulation rate, and initial concentration) and biparametric… (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)

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)

- 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

- R. Feres, A. Cloninger, G. S. Yablonsky, J. T. Gleaves
- 2009

We obtain a general formula for reactant conversion in diffusion-reaction TAP systems over single non-porous catalyst particles as a product of two terms: α = PH ×K. The first term, PH , is a purely geometric factor dependent only on the shape of the reactor and the shape and position of the catalyst particle, interpreted as the probability that an… (More)

- Phungphai Phanawadee, Sergiy O. Shekhtman, Chukiat Jarungmanorom, Gregory S. Yablonsky, John T. Gleaves
- 2003

The goal of the research is to develop effective methods from theoretical results for performing multi-pulse TAP experiments. In this paper we focus on the determination of the number of active sites of the catalyst sample from the zeroth moment of the exit flow of a reactant gas for the irreversible adsorption case. Using the perturbation method, the… (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)

Everything that is not prohibited is permissible. So, what is prohibited in the course of chemical reactions, heat transfer and other dissipative processes? Is it possible to “overshoot” the equilibrium, and if yes, then how far? Thermodynamically allowed and prohibited trajectories of processes are discussed by the example of effects of equilibrium… (More)