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Into the Cool, Part I, Chapter 6
The River Must Flow: Open Systems

   

Nimble as they were in their ability to take the bull of time and change by its horns, the matadors of classical and statistical thermodynamics had to give way to an even more ambitious bullfighter—a general thermodynamics studying systems not confined to artificial boundaries. The natural growth of these systems—feeding on the destruction of gradients—represents a nascent science of "creative destruction. Because this open-system science, NET, is still early in the flower of its development, narrating its history is not so easy. Nonetheless, in this chapter we propose a rough roadmap for a future history, highlighting such landmarks as the work of Lotka, Onsager, and Prigogine. Like the systems it discovered, whose organization depended upon energy flow, the science that studies these systems—NET, and its subdiscipline, the thermodynamics of life discussed in this book—are in a state of flux.

Trained as a physical chemist, Alfred Lotka worked for an insurance company as a statistical analyst and in his spare time was a student of biology. Almost a generation ahead of his peers, Lotka suggested that life was a dissipative metastable process. By this he meant that, although stable and mistaken for a "thing," life was really a process. Living matter was in continuous flux, kept from equilibrium by energy provided by the sun. Lotka stressed that life on Earth was an open system. It was bioenergetic and biophysical, a thermodynamic phenomenon.

Beyond the near-equilibrium Onsager region are "far-from-equilibrium" systems, named by Ilya Prigogine and coworkers Gregorie Nicolis and P. Glansdorff at the Free University of Brussels. These systems capture and deploy energy and spin out intricate material flows; they undergo unpredictable and sometimes sudden changes in organization; they are, in a word, wild. Known mainly for his work on elaborate cyclical chemical reactions, Prigogine popularized the term dissipative structures. These dissipative systems, a term first used by Lotka, maintain their stable, low-entropy state by importing material and energy across their system boundaries. Dissipative systems are nonequilibrium, open, dynamic systems with gradients across them. They degrade energy and exhibit material and energy cycling. Dissipative structures grow more complex by exporting—dissipating—entropy into their surroundings .

The nontrivial laws of thermodynamics were hard won. The second law was the first to be understood, by Carnot, who realized the need for a hot/cold differential to power engines, and recognized the irremediable one-way-ness, the loss inherent in all real macroscopic energetic processes in the universe. Heat moves into the cool, not vice versa. The first law, the second to be formally stated, was presented by Rudolf Clausius and Lord Kelvin as the conservation law. The third law of thermodynamics evolved out of Lavoisier's and Joseph-Louis Gay-Lussac's work on the development of pressure, temperature, and volume experiments. They showed that a pressure of any gas contained in a given volume increases or decreases by 1/273 of initial value for each degree Celsius. If one starts with a gas at 0°C as a reference point, and cools it to <min>273°C or 0 kelvin, the gas pressure declines to zero and molecular motion is predicted to cease. Later, in 1906 and 1911, respectively, German physicists Walther Nernst and Max Planck developed this idea into the relationship between thermodynamic entropy and 0 kelvin. At absolute zero the entropy of the system is zero. The "zeroth" law of thermodynamics, put forth formally in 1931, deals with the two seminal concepts, equilibrium and temperature. When a closed thermodynamic system within rigid heat-proof walls reaches the point of no more change, the system has reached a state of thermal equilibrium. The zeroth law informs all the laws of thermodynamics and provides an important underpinning for a gradient-based thermodynamics. Another important principle for nonequilibrium thermodynamics, sometimes thought to rise to the status of a fourth law, but perhaps better understood as a logical consequence of the first and second laws, is that matter cycles in regions of energy flow; such cycles, visible in natural complex structures, including those of life, occur as limited material resources scramble to provide a vehicle for entropy export. We have synthesized the general principles of open thermodynamic systems in the appendix. This appendix, although hidden at the end of the book, bears close study by the truly interested. Many of these principles apply to living systems.

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Part I: The Energetic

1. The Schrödinger Paradox

2. Simplicity

3. Eyes of Fire: Classical Energy Science

4. The Cosmic Casino: Statistical Mechanics

5. Nature Abhors a Gradient

6. The River Must Flow:
Open Systems

7. Too Much, Not Enough: Cycles




Far-from-equilibrium systems can be forced beyond their regions of stability. Often these systems will bifurcate into one or two new stable states. This bifurcation process can be visualized as a ball rolling down a valley (stable state); at a singularity, the ball can "choose" to run down one or the other valley. These bifurcations can lead to new stable states that are both phenomenological and mathematical.




 

 

 

 

 


© 2005 Hawkwood Institute • Eric D. SchneiderInto the Cool