Ilya Prigogine
By Gianfranco Minati
Professor Ilya Prigogine was born in Moscow, Russia, on January 25, 1917
and died in Bruxelles on May 28, 2003. He was
awarded the Nobel Prize for Chemistry in 1977 for his contributions to
non-equilibrium thermodynamics, particularly the theory of dissipative structures.
He received both his undergraduate and graduate education in Chemistry at the Universite Libre de
Bruxelles.
He was Regental Professor and Ashbel Smith Professor of Physics and Chemical Engineering at the
University of Texas in Austin.
In 1967, he founded the Center for Statistical Mechanics, later renamed the Ilya Prigogine Center for
Studies in Statistical Mechanics and Complex Systems.
From 1959 on, he was the director of the International Solvay Institutes in Brussels, Belgium.
The outstanding merit of Ilya Prigogine’s scientific work was to provide a better understanding of the
role of time in the Physical Sciences and in Biology. He contributed significantly to the understanding of irreversible processes, particularly in systems far from equilibrium. The results of his work on dissipative structures have stimulated many scientists throughout the world and may have profound consequences for our understanding of biological systems.
He was President of the International Society for the Systems Sciences (ISSS) in 1988.
Ilya Prigogine was one of the great founding fathers of Systemics.
A controversial scientist in his lifetime , he is now acknowledged to be one of
the giants of our age. One of his many notable contributions to science was the
introduction of the theory of thermodynamics of irreversible processes. In the
fifties, scientists used to focus on equilibrium, paying little or no attention
to irreversible phenomena, then considered essentially transitory.
Prigogine studied this problem in Physical Chemistry. He attributed
to irreversible processes a constructive role, in contrast to the classical
approach, which saw in them only decay.. This new and better understanding of the
role of time in the physical sciences and in Biology opened up vistas of a new
understanding of biological systems.
In several very important books, like "From Being to Becoming: Time and Complexity in the Physical
Science" based on a series of three lectures given at the University of Texas
in 1978 (Austin, 3, 5, and 7 April 1978), which were indebted to the
collaboration of other very important scientists, like the Greek mathematician
Gregoire Nicolis, he introduced some formal models of systemic processes. The
most famous is the so-called "brussellator" (because developed in Bruxelles).
This is a system of differential equations describing the evolution of
particular complex systems, like chemical clocks (Fig. 1).
The interesting feature of this model is that whatever the initial concentrations are, the system settles
down into the same periodic variation of concentrations. The common trajectory
is called a limit cycle, and its period depends on the values of the rate
coefficients (Fig. 2).


Approaches of this kind have been of great interest to scientists becoming more and more interested in
studying processes of emergence.
There are different approaches to emergence. One, called intrinsic emergence, is related to the establishment of unexpected
reactions by using a specific model. What is unexpected is in the model used by
an observer and not deriving from experimental activities. In the phase space it is possible to see the
establishment of different kinds of solutions depending on different factors,
like the initial conditions (the system may "forget" or "not forget" initial
conditions) giving rise to attractors and bifurcations. The brussellator is of
great importance in the mathematical study of systemics, in modeling and in the
study of non-linear thermodynamics.
Another great contribution directly linked with the previous research interests is the introduction of the
so-called dissipative structures.
They are systems existing and established only on the basis of a continuous dissipation of
matter-energy. The classic example is the whirlpool.
As we all know from daily experience, this structure is maintained only thanks
to a continuous flux of matter-energy. This approach allowed a new way of
considering the relationship with the environment in which dissipative systems leave their shape. As mentioned above,
dissipative structures have been of great importance in establishing a physics of living matter. It is
possible to imagine the powerfulness of the concept applied to different
disciplinary contexts (corporations, for instance).
Mostly, the new concepts
and approaches introduced by Prigogine are considered in theoretical physics
only, or used metaphorically in systemics.
I take this opportunity to
mention another scientist, a giant of our age, who introduced Synergetics in
Physics (in short, the science of
combined effects), adding to and completing the picture introduced above: Hermann Haken. It is particularly
moving for me to mention this contribution of H. Haken a friend of and
contributor to the Italian Systems Society, because Synergetics is also waiting
in the wings to become an integral part of systemics, and because the academic
relations between the two scientists were somewhat strained.
The best way to honor the
deceased Prigogine and the living Haken is to understand the profound systemic
importance of their studies and of their differences in the tradition of
interdisciplinarity.
ISSS should use the
enormous stock of knowledge now available to systemics.

In commemorating Ilya Prigogine, we also express our gratitude for the humanist interdisciplinarity of many other past Presidents of ISSS who :took all knowledge to be their province".
Some of the books published by Ilya Prigogine are:
- 1998, Modern
Thermodynamics: From Heat Engines to Dissipative Structures
(with D. Kondepudi)
John Wiley; Sons, Chichester
- 1997, The End of Certainty,
Time, Chaos and the New Laws of Nature
(with I. Stengers)
The Free Press, New York
- 1989, Exploring Complexity
(with G. Nicolis)
W. H. Freeman & Co., San Francisco
- 1983, Order Out of Chaos
(with I. Stengers)
Bantam Books, New York
- 1980, From Being to
Becoming: Time and Complexity in the Physical Sciences
W. H. Freeman & Co., San Francisco
- 1977, Self-Organization in
Non-Equilibrium Systems: From Dissipative Structures to Order Through
Fluctuations
(with G. Nicolis)
- 1962, Nonequilibrium
Statistical Mechanics
Wiley-Interscience, New York
Prof. Gianfranco Minati http://www.geocities.com/lminati/gminati/index.html
President of the Italian Systems Society www.airs.it
July 2003
Note of the Editor:
This contribution is based on a presentation Professor Minati gave in the Plenary in Memoriam of Past Presidents of ISSS
The Forty-seventh Meeting of theISSS - International Society for the System Sciences July 7th - 11th, 2003
Iraklion, Crete, Greece