| Yuri Tarnopolsky ESSAYS
25. On Zippers
system. change. transition state. activation energy. zipper. dislocations. |
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Essay
25. On Zippers
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. . In Essay 24, On Myself I was looking for a place for myself in the Everything. I took notes of addresses of some possible dwellings, taking complexity as the avenue and size as the street, and making no demands about the architecture. I am going to use the image of Sisyphus from Essay 23 rolling his stone over the hill, but without Sisyphus. The stone alone will do. I only want to remind that in chemistry change happens because the energy of molecules spreads over a certain interval, so that the most vigorous of them have enough energy to jump to the top of the hill. Others take their place. The molecular "stone" behaves more like a tennis ball. Change in society, as I see it, happens for the same reason with mostly angry, agitated, and excited (or simply clever) people instead of molecules or due to an individual Sisyphus who manages to push the heavy stone over the hill. I will use
here
some
animations. They can be viewed by clicking on the link ANIMATE.
The
BACK
button of the browser will bring the page back.
My first animated
illustration
shows change in a small simple system. [FIRST FOUR ANIMATIONS
ARE
AT THE END OF THE PAGE]
ANIMATE Figure 25.1 would be a general case, but in highly ordered systems, like the clockwork, the stone would simply go around in the same sequence. The second diagram
shows
change in a large complex system. I start it with an initial
state
that can be regarded either as a Medium Bang or as a dark place of Genesis,
1:1, "without form" but not quite void. I do not mean here
the universe.
ANIMATE Figure 25.2 should not be turned into a cylinder because it evolves by rolling the stone over a changing landscape. There is always a hill ahead, there could be a retreat back, but the stone steadily moves ahead, and the hill ahead is always new, although it can be similar to some hill in the past. A small complex
system,
for
example, a corporation, evolves in time, but it can also jump
between
several patterns of functioning, for example, recession, new
competitor,
merger, spike in demand, major lawsuit, etc. A large complex
system,
like nation, goes through situations of revolt, crisis, war,
legislation
shift, etc.
The general pattern of the terrain can go up or down, and it is an intriguing question on what it depends.
_____________________ I believe it depends on the production of energy (more accurately, free energy, see Essay 7, On the Smell of Money ) , but I feel not fit to go into particulars of non-equilibrium thermodynamics that are different from those of the classic one. If the energy of a
system
goes up, the system becomes less stable and more capable of jumping
over
the transition barrier. There are two possible situations in a
transition:
the other side of the hill can be either deeper than the initial one or
it could be the opposite. A simple system with just one hill will
spend more time in the deeper valley:
The deeper valley
is on the left.
ANIMATE
ANIMATE
Those are two types of the roller coasters of change. Our clocks are lucky to ride the circular type, but we, humans, have all the fun of riding the roller coaster that we can comprehend in its entirety only when we are safely off. One of the possible historical ways to make a rising landscape less steep is to decrease the buildup of energy by humans. It can be done in at least two ways: by decreasing population and/or by decreasing physical movement that requires most physical energy. For example, as an ultimate sci-fi picture, a planet can be populated by something like motionless silicon devices feebly exchanging light signals with each other through a fiber network and producing a new device only with some of them is damaged. NOTE: More accurately, it is appropriate to speak not about the buildup of energy but about the distance from equilibrium. To maintain a position far from equilibrium, which is always inherently unstable, the system must consume free energy and dissipate it into heat. When the sources of mineral energy are exhausted, the general intensity of human life can go down, closer to equilibrium.
There is absolutely no reason to be fatalistic and pessimistic because we can imagine only what falls under known patterns and can never imagine the radically new ones. On the new and the different, see Essay 20, On Artificial Art . My final question is how a large and complex system can change in a radical way. Any imaginable small change has a certain probability. A radical change of a big system consists of a large number of small changes. Therefore, the probability of such large change is the product of many fractional numbers, which is a very small number. The reality is that the small changes do not happen all at once. The change of a large system happens locally and is spread as a sequence of stages over time. I already mentioned the theory of dislocations in Essay 22, On Errors and the similarity of a large deformation to zipper. My next animated illustration shows the character of change in a small system. It is difficult to separate two parts of a large system with many internal bonds. It is easy to split the system through an ordered sequence of small changes:
The zipper effect has extremely important implications in molecular biology, but this is the knowledge outside the map. Small systems are vulnerable because their zippers have a small number of teeth. A big problem
arises:
what
is stronger in a direct clash, fluid democracy or iron autocracy?
In a non-military confrontation, I would not bet on liberalism against a violent autocracy. But the autocracy is incomparably more vulnerable than democracy where liberalism is balanced by common sense. Democracy heals its wounds, while autocracy has brittle senile bones. The twentieth
century
brought
to life a new kind of organization: global network. We do not have
enough
experience with them. The Communist network broke down after the fall
of
the Soviet Empire. This may suggest that cutting off the sources of
energy
and a blow on the head would do the same to a terrorist network.
NOTES: 1. On the story of zipper, see Henry Petroski, The Evolution of Useful Things: How Everyday Artifacts—from Forks and Pins to Paper Clips and Zippers—Came to Be . New York: Vintage Books, 1994. 2. Online animations of activation energy, i.e., the height of the transition barrier: http://www.wbaileynet.com/wldchem/tutorial/rates/temp3.htm
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2001
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