|
|
|
Breaking even
The first law of thermodynamics states that it is impossible
to create energy from nothing — or in other words, in terms
of energy, you can't win. Furthermore, the second law states
that, in converting energy from one type to another, some
of that energy will be always be lost in a different form
— or in other words, you can't even break even. These two
laws are considered so fundamental that the United States
Patent and Trademark Office will not even consider patent
applications that claim to violate them (that is, unless a
working model is provided with the application). But writing in
Physical Review Letters this week, Genmiao Wang and colleagues
suggest that violations of the second law of thermodynamics,
albeit at small scales and over short periods of time, can
and do occur.
The idea that the second law of thermodynamics could be violated
by small ensembles of particles within larger systems is not
new. In 1878, James Clerk Maxwell (writing in a book review
for Nature) noted:
| |
"The truth of the second law is … a statistical,
not a mathematical, truth, for it depends on the fact that
the bodies we deal with consist of millions of molecules…
Hence the second law of thermodynamics is continually
being violated, and that to a considerable extent, in
any sufficiently small group of molecules belonging to
a real body. (Maxwell, J. C., Tait's "Thermodynamics"
II, Nature 17, 278–280 (7 February 1878)). |
For larger systems over normal periods of time, however, the
second law of thermodynamics is sound.
To explain all this apparent paradox, a useful analogy can
be drawn to gambling. Although there is nothing unusual about
winning a single game of 'black-jack', it is a matter of statistical
fact that over many games, the house always wins. Therefore,
if a player keeps playing, they must eventually lose. And
in thermodynamics, you're not allowed to leave the casino
— hence the robustness of the second law. The interesting
question posed by Wang et al., however, is not how
to beat the house, but what happens in the realm between a
single coin toss and a weekend in Las Vegas?
At length scales where nanomachines may one day operate —
and indeed, biological systems such as living cells already
do — violation of the second law may have important phenomenological
implications. In a previous work, one of the authors developed
a framework called the fluctuation theorem to quantitatively
describe such violations in finite systems (Evans et al.
Phys. Rev. Lett. 71, 2401–2404 (1993)). In
the new work, Wang et al. experimentally confirm the
predictions of this theorem by observing the influence of
water molecules on the motion of microsized latex beads held
in an optical trap.
They find that over timescales of less than 2 s, fluctuations
in the random thermal motion of water molecules can occasionally
give individual beads a kick, increasing their kinetic energy
by a small but measurable amount, in apparent violation of
the second law of thermodynamics.
The gain is short-lived, and so could never amount to a source
of free energy or perpetual motion. But the results do suggest
that as technology approaches ever-smaller dimensions, our
understanding of statistical mechanics may have to be more
sophisticated than a simple scaling down of macroscopic models.
For more materials science and nanotechnology highlights,
and free full text access (until 31st October) to all materials
and nanotech papers published in Nature, go to
Materials Update
.
Experimental demonstration of violations
of the second law of thermodynamics for small systems and
short time scales
G. M. WANG, E. M. SEVICK, EMIL MITTAG, DEBRA J. SEARLES &
DENIS J. EVANS
We experimentally demonstrate the fluctuation theorem, which
predicts appreciable and measurable violations of the second
law of thermodynamics for small systems over short time scales,
by following the trajectory of a colloidal particle captured
in an optical trap that is translated relative to surrounding
water molecules. From each particle trajectory, we calculate
the entropy production/consumption over the duration of the
trajectory and determine the fraction of second law-defying
trajectories. Our results show entropy consumption can occur over
colloidal length and time scales.
Physical Review Letters 29, 050601 (15 July
2002)
|
click here for article
|
© 2002 The American Physics Society.
<
previous highlight
| more
highlights
| next
highlight
>
|