Grigoriy Yablonsky


Grigoriy Yablonsky is a Russian expert in the area of chemical kinetics and chemical engineering, particularly in catalytic technology of complete and selective oxidation, which is one of the main driving forces of sustainable development.
His theory of complex steady-state and non-steady-state catalytic reactions is widely used by research teams in many countries of the world.
Yablonsky serves as an associate research professor of chemistry at Saint Louis University's Parks College of Engineering, Aviation and Technology and college of arts and sciences.
Since 2006, Yablonsky has been an editor of the Russian-American Middle West.

Scientific contributions

Yablonsky, together with Lazman, developed the general form of steady-state kinetic description, which is a non-linear generalization of many theoretical expressions proposed previously. Yablonsky also created a theory of precise catalyst characterization for the advanced worldwide experimental technique developed by John T. Gleaves at Washington University in St. Louis.
In 2008–2011, Yablonsky, together with Constales and Marin, and Alexander Gorban, obtained new results on coincidences and intersections in kinetic dependences and found a new type of symmetry relation between the observable and initial kinetic data.
Together with Alexander Gorban, Yablonsky developed the theory of chemical thermodynamics and detailed balance in the limit of irreversible reactions.

Catalytic trigger and catalytic oscillator

A simple scheme for the nonlinear kinetic oscillations in heterogeneous catalytic reactions has been proposed by Bykov, Yablonsky, and Kim in 1978. The authors have started with the catalytic trigger, the simplest catalytic reaction without autocatalysis that allows multiplicity of steady states.
Then they have supplemented this classical adsorption mechanism of catalytic oxidation by a "buffer" step
Here, A2, B, and AB are gases, Z is the "adsorption place" on the surface of the solid catalyst, AZ and BZ are the intermediates on the surface, and is an intermediate that does not participate in the main reaction.
Let the concentration of the gaseous components be constant. Then the law of mass action gives for this reaction mechanism a system of three ordinary differential equations that describe kinetics on the surface.
where is the concentration of the free places of adsorption on the surface, x and y are the concentrations of AZ and BZ, correspondingly. and s is the concentration of the buffer component.
This three-dimensional system includes seven parameters. The detailed analysis shows that there are 23 different phase portraits for this system, including oscillations, multiplicity of steady states, and various types of bifurcations.

Reactions without the interaction of different components

Let the reaction mechanism consist of reactions.
where are symbols of components, r is the number of the elementary reaction and are the stoichiometric coefficients.
The Eley–Rideal mechanism of CO oxidation on PT provides a simple example of such a reaction mechanism without interaction of different components on the surface:
Let the reaction mechanism have the conservation law
and let the reaction rate satisfy the mass action law:
where is the concentration of.
Then the dynamic of the kinetic system is very simple: the steady states are stable and all solutions with the same value of the conservation law monotonically converge in the weighted norm: the distance between such solutions,
monotonically decreases in time.
This quasithermodynamic property of the systems without interaction of different components is important for the analysis of the dynamics of catalytic reactions: nonlinear steps with two different intermediate reagents are responsible for nontrivial dynamical effects like multiplicity of steady states, oscillations, or bifurcations. Without interaction between different components, the kinetic curves converge into a simple norm, even for open systems.

The extended principle of detailed balance

The detailed mechanism of many real physico-chemical complex systems includes both reversible
and irreversible reactions. Such mechanisms are typical in homogeneous combustion,
heterogeneous catalytic oxidation, and complex enzyme reactions. The classical
thermodynamics of perfect systems is defined for reversible kinetics and has no limit for
irreversible reactions. On the contrary, the mass action law gives the possibility to write the chemical kinetic equations for any
combination of reversible and irreversible reactions. Without additional restrictions,
this class of equations is extremely wide and can approximate any dynamical system
with preservation of positivity of concentrations and the linear conservation laws. The model
of real systems should satisfy some restrictions. Under the standard microscopic reversibility requirement, these restrictions should be formulated as follows: A
system with some irreversible reactions should be at the limit of the systems with all reversible reactions and the detailed balance conditions. Such systems have been completely described in 2011. The extended principle of detailed balance is the
characteristic property of all systems that obey the generalized mass action law and is
the limit of systems with detailed balance when some of the reaction rate constants
tend to zero.
The extended principle of detailed balance consists of two parts:
  • The algebraic condition: The principle of detailed balance is valid for the reversible part. This means that for the set of all reversible reactions, there exists a positive equilibrium where all the elementary reactions are equilibrated by their reverse reactions.
  • The structural condition is that the convex hull of the stoichiometric vectors of the irreversible reactions has an empty intersection with the linear span of the stoichiometric vectors of the reversible reactions.
The stoichiometric vector of the reaction is the gain minus loss vector with coordinates
The extended principle of detailed balance gives an ultimate and complete answer to the following problem: how to throw away some reverse reactions without violating thermodynamics and microscopic reversibility? The answer is that the convex hull of the stoichiometric vectors of the irreversible reactions should not intersect with the linear span of the stoichiometric vectors of the reversible reactions, and the reaction rate constants of the remaining reversible reactions should satisfy the Wegscheider identities.

Career

From 1997 to 2007, Yablonsky was a research associate professor in the department of energy, environmental, and chemical engineering at the McKelvey School of Engineering at Washington University in St. Louis. Since 2007, Yablonsky has been an associate professor at Saint Louis University's Parks College of Engineering, Aviation, and Technology as well as in the department of chemistry.
During his career, Yablonsky has organized many conferences and workshops at national and international levels. Yablonsky frequently participates in interdisciplinary dialogues involving mathematicians, chemists, physicists, and chemical engineers.
Yablonsky was selected in 2013 for the James B. Eads Award, which recognizes a distinguished individual for outstanding achievement in engineering or technology.

Honors and awards

Professional memberships and associations

Yablonsky has numerous international designations as an honorary professor, fellow, doctor, and member of prestigious science academies and universities in Belgium, India, China, Russia, and Ukraine.

Notable publications

Yablonsky is the author of seven books, most recently Kinetics of Chemical Reactions: Decoding Complexity Wiley-VCH, and more than 200 papers.