The members of our research group have published literally
hundreds of papers over the past several decades. Some of the
achievements in which we take the greatest pride are detailed in the papers
Recipe for the thoroughly studied oscillating
chemical reaction (BZ reaction), where malonic acid replaces the citric
acid of Belousov’s original recipe. Some parts of the mechanism of
oscillations are elucidated:
A. M. Zhabotinsky, “Periodical oxidation of malonic acid
in solution (a study of the Belousov reaction kinetics),” Biofizika,
9, 306-311 (1964).
Description of the mechanism of the BZ reaction,
and a set of related reactions with various reductants and catalysts:
A. M. Zhabotinsky, “Periodic liquid phase reactions,” Proc.
Ac. Sci. USSR, 157, 392-395 (1964).
First observation of periodic chemical waves in
a homogeneous reaction-diffusion system:
A. N. Zaikin and A. M. Zhabotinsky, “Concentration wave
propagation in two-dimensional liquid phase self oscillating system,” Nature,
225, 535-537 (1970).
First systematically designed oscillating chemical
P. De Kepper, K. Kustin and I. R. Epstein, "A Systematically
Designed Homogeneous Oscillating Reaction: The Arsenite-Iodate-Chlorite
System," J. Am. Chem. Soc. 103, 2133-2134 (1981).
Identification of the simplest reaction underlying
the BZ and related bromate-based oscillators:
M. Orbán, P. De Kepper and I. R. Epstein, "Minimal Bromate
Oscillator: Bromate-Bromide-Catalyst," J. Am. Chem. Soc. 104, 2657-2658
First experimental demonstration of the phenomenon
of birhythmicity (two different modes of oscillation under the same conditions)
in a chemical system:
M. Alamgir and I. R. Epstein, "Birhythmicity and Compound Oscillation
in Coupled Chemical Oscillators: Chlorite-Bromate-Iodide System," J. Am.
Chem. Soc. 105, 2500-2502 (1983).
Experimental demonstration and explanation of
the fact that the rate of propagation of chemical waves is affected by
I. Nagypál, G. Bazsa and I. R. Epstein, "Gravity-Induced
Anisotropies in Chemical Waves," J. Am. Chem. Soc. 108, 3635-3640 (1986).
Discovery that coupling chemical oscillators can
cause oscillations to disappear (or to appear) and can lead to multiple
modes of entrained oscillation:
M. F. Crowley and I. R. Epstein, "Experimental and Theoretical
Studies of a Coupled Chemical Oscillator: Phase Death, Multistability
and In- and Out-of-Phase Entrainment," J. Phys.Chem. 93, 2496-2502 (1989).
Explanation (Lengyel-Epstein model) of how patterns
arise in the first experimental example of Turing patterns in a chemical
I. Lengyel and I. R. Epstein, "Modeling of Turing Structures
in the Chlorite-Iodide-MalonicAcid-Starch Reaction System," Science 251,
Method for designing chemical systems that can
display Turing patterns:
I. Lengyel and I. R. Epstein, "A Chemical Approach to Designing
Turing Patterns in Reaction-Diffusion Systems," Proc. Natl. Acad. Sci.
USA. 89, 3977-3979 (1992).
Demonstration that refracted chemical waves obey
Snell’s Law, but reflected waves do not show specular reflection like electromagnetic
A. M. Zhabotinsky, M. D. Eager and I. R. Epstein, "Refraction
and Reflection of Chemical Waves," Phys. Rev. Lett. 71, 1526-1529 (1993).
Demonstration that complex patterns can arise
in realistic chemical models from the short wave instability:
A. M. Zhabotinsky, M. Dolnik and I. R. Epstein, "Pattern
Formation Arising from Wave Instability in a Simple Reaction-Diffusion
System," J. Chem. Phys. 103, 10306-10314 (1995).
Development of a new bubble-free oscillating reaction
for studying pattern formation:
K. Kurin-Csörgei, A. M. Zhabotinsky, M. Orbán
and I. R. Epstein, "Bromate-1,4- Cyclohexanedione-Ferroin Gas-free Oscillating
Reaction. I. Basic Features and Crossing Wave Patterns in a Reaction
Diffusion System without Gel," J. Phys. Chem. 100, 5393-5397 (1996).
Demonstration that Turing patterns can be manipulated
and controlled by light:
A. K. Horváth, M. Dolnik, A. Muñuzuri, A. M. Zhabotinsky
and I. R. Epstein, “Control of Turing Structures by Periodic Illumination,” Phys. Rev. Lett. 83, 2950-2952 (1999).
Demonstration that oscillatory cluster patterns
arise in a homogeneous chemical system with global feedback:
V. K. Vanag, L. Yang, M. Dolnik, A. M. Zhabotinsky and I. R.
Epstein, " Oscillatory cluster patterns in a homogeneous chemical system
with global feedback", Nature 406, 389-391 (2000).
Discovery of inwardly rotating spirals (anti-spirals)
in the BZ reaction in a reverse microemulsion:
V. K. Vanag and I. R. Epstein, “Inwardly Rotating Spiral Waves in a Reaction-Diffusion System,” Science 294, 835-837 (2001).
Method for design of chemical oscillators based on elements with a single stable oxidationate:
K. Kurin-Csörgei, M. Orbán and I. R. Epstein, “Systematic Design of Chemical Oscillators Using Complexation and Precipitation Equilibria,” Nature 433, 139-142 (2005).
Constructing a "chemical memory" using a reaction-diffusion system:
A. Kaminaga, V. K. Vanag, and I. R. Epstein, “A reaction-diffusion memory device,” Angew. Chem. Int. Ed. 45, 3087-3089 (2006).
Three-dimensional Turing patterns:
T. Bánsági Jr., V. K. Vanag and I. R. Epstein, “Tomography of Reaction-Diffusion Microemulsions Reveals Three-Dimensional Turing Patterns,” Science 331, 1309-1312 (2011).
Last update: 03/23/09