Boltzmann's View of the Second Law as a Law of Disorder
The active macroscopic nature of the second
law posed a direct challenge to the "dead" mechanical
world view which Boltzmann tried to meet in the latter part of
the last century by reducing the second law to a law of probability
following from the random collisions of mechanical particles (efficient
cause (see Swenson (1990)). Following the lead of Maxwell who
had modeled gas molecules as colliding billiard balls, Boltzmann
argued that the second law was simply a consequence of the fact
that since with each collision nonequilibrium distributions would
become increasingly disordered leading to a final state of macroscopic
uniformity and microscopic disorder. Because there are so many
more possible disordered states than ordered ones, he concluded,
a system will almost always be found either in the state of maximum
disorder or moving towards it.
As a consequence, a dynamically ordered state, one with molecules
moving "at the same speed and in the same direction,"
Boltzmann (1974/1886, p. 20) asserted, is thus "the most
improbable case conceivable...an infinitely improbable configuration
of energy." Because this idea works for certain near equilibrium
systems such as gases in boxes, and because science until recently
was dominated by near equilibrium thinking, Boltzmann's attempted
reduction of the second law to a law of disorder became widely
accepted as the second law rather than simply an hypothesis about
the second law, and one that we now know fails. It became the
apparent justification from physics for solidifying Cartesian
incommensurability and establishing the view of the two incommensurable
rivers-the "river" of biology, psychology, and culture,
or the epistemic dimension of the world characterized by intentional
dynamics and flowing up to increasingly higher states of order,
versus the "river" of physics flowing down to disorder.
Such a view is entirely inimical to a science of ecological relations,
since, as noted above, it is precisely through the interface of
these two rivers that these relations occur, and if the interface
is incommensurable then the relations are effectively prohibited,
or at best, incomprehensible.

| Two time slices from the Bénard experiment. When the gradient of the potential (the "force") between source (the heated surface below) and the sink (the cooler air at the top) is below a critical threshold (left) the flow of heat is produced by the random collision of the molecules (conduction), and the system is in the disordered or "Boltzmann regime", and the surface of the system is smooth, homogeneous, and symmetrical. When the force is above the critical threshold (right), however, the symmetry of the system is broken and autocatakinetic order spontaneously arises as random microscopic fluctuations are amplified to macroscopic levels and "Benard cells" fill the container as hundreds of millions of molecules begin moving together (for more detailed discussion see e.g., Swenson, 1989a,b, c, 1992, 1997a). (From Swenson, 1989c. Copyright 1989 Pergamon Press. Used by permission). |
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