# Three Waves of Chemical Dynamics

@article{Gorban2015ThreeWO, title={Three Waves of Chemical Dynamics}, author={Alexander N. Gorban and Gregory S. Yablonsky}, journal={Mathematical Modelling of Natural Phenomena}, year={2015}, volume={10}, pages={1-5} }

Three epochs in development of chemical dynamics are presented. We try to un- derstand the modern research programs in the light of classical works.

## 24 Citations

Stationary Distributions and Condensation in Autocatalytic Reaction Networks

- EngineeringSIAM J. Appl. Math.
- 2019

We investigate a broad family of stochastically modeled reaction networks by looking at their stationary distributions. Most known results on stationary distributions assume weak reversibility and ...

Kinetics of Heterogeneous Self-Propagating High-Temperature Reactions

- Physics
- 2018

In this chapter, we present an overview of experimental techniques utilized and kinetic data collected for exothermic self-sustained noncatalytic heterogeneous reactions. The data focuses on five…

Some Recent Advances in Energetic Variational Approaches

- PhysicsEntropy
- 2022

In this paper, we summarize some recent advances related to the energetic variational approach (EnVarA), a general variational framework of building thermodynamically consistent models for complex…

Two Formalisms of Stochastization of One-Step Models

- PsychologyPhysics of Atomic Nuclei
- 2018

In the article the authors briefly describe these formalisms: combinatorial (state vectors) and operator (occupation numbers) with an emphasis on their practical application.

Nonequilibrium Thermodynamics in Biochemical Systems and Its Application

- PhysicsEntropy
- 2021

The history and current development of nonequilibrium thermodynamics, especially that in biochemical systems, are introduced and the development of stochastic thermodynamics is introduced, especially three landmarks: Jarzynski equality, Crooks’ fluctuation theorem and thermodynamic uncertainty relation.

Model reduction in chemical dynamics: slow invariant manifolds, singular perturbations, thermodynamic estimates, and analysis of reaction graph

- MathematicsCurrent Opinion in Chemical Engineering
- 2018

Stationary distributions and condensation in autocatalytic CRN.

- Mathematics
- 2018

We investigate a broad family of non weakly reversible stochastically modeled reaction networks (CRN), by looking at their steady-state distributions. Most known results on stationary distributions…

Diagram Representation for the Stochastization of Single-Step Processes

- Computer Science
- 2016

A diagram technique is proposed, which allows to unify getting master equation for the system under study, and the equivalence of the occupation number representation and the state vectors representation by using a Verhulst model is demonstrated.

Testing Binomiality of Chemical Reaction Networks Using Comprehensive Gröbner System

- MathematicsCASC
- 2021

This work makes automatic computations on n−site phosphorylations and biomodels from the Biomodels repository using the grobcov library of the computer algebra system Singular to approach the binomiality problem using Comprehensive Gröbner systems.

Kinetics of SHS reactions: A review

- Materials ScienceInternational Journal of Self-Propagating High-Temperature Synthesis
- 2017

The current state of chemical kinetics for self-propagating high-temperature non-catalytic reactions has been reviewed for results over the past 50 years. Five different characterization techniques…

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