FYI -- there is some sensational press out there that makes it sound like we're planning
to break/have already broken the 2nd law of thermodynamics!
This is, of course, absurd -- but I think it's imperative we set the record straight before
everyone starts jumping all over us.
The context.... a colleague and I are studying non-equilibrium switching invoking a concept
called 'Brownian Ratchets' that has been well studied in nonequilibrium statistical physics over
the years. The potential benefactor of this study is the chip industry, in a very broad way,
as it is worried about rapidly increasing
thermal budgets (chips are becoming very hot). We're simply trying to examine the physics
of Brownian ratchets in a device context.
A popular model for heat dissipation in binary switching looks at a two well one barrier
geometry, with a gate
controlling the barrier and a drain controlling the overall directionality. Each such
raising and lowering of a barrier at the end of the compute cycle dissipates energy
irreversibly (during the reset step where one erases information), leading to a N.alpha.kTln2
dissipation per operation (kT is the thermal energy), where N is the number of bits
(assumed independent), and alpha is a non-ideality factor (depends on various things such
as capacitance ratios).
Now, there are a number of things one can do to play with this without breaking fundamental
principles. You could try to make the bits correlated so that N goes down. You could play
with alpha using clever engineering as it's a non-ideality factor (although circuit theorists
have their own constraints on what alpha should be -- but it's a practical limit not a
fundamental one). You could try to do reversible computing, say, by rotating spins --
no dissipation there ideally, if you do it the right way. And you could try to play with
non-equilibrium physics.
The analysis in the two well one barrier model is based on invoking equilibrium Boltzmann
statistics. What is not clear is what happens during the non-equilibrium transition phase, say,
with the application of a voltage gradient, or
if you switch before the equilibrium is reached. This is one of the directions we are
exploring. The aim of the study is not to attempt to deviate from cherished physical principles,
but on the contrary to see what these cherished principles posit for such a situation.
Examples include a Brownian ratchet that is known to rectify non-equilibrium noise to produce
directed motion by transducing spatial asymmetries in the system
(this is well recognized in nonequilibrium statistical mechanics, measured experimentally in
dozens of systems and has been mulled over for years). The physics is well studied, but the context
is perhaps new... we
are interested in seeing if rectifying such non-equilibrium noise (as a ratchet does)
can perhaps shave off some of the factors in the power dissipation limit
in the regular two well one barrier system.
What is our practical strategy? We are employing quantum transport equations that are very well
established and the workhorse of our research group. These equations are fundamental and
produce dozens of precise quantitative agreements with experiments (in fact, we are very
particular about calibrating our results with multiple experiments). They interpolate all
the way from fully quantum to fully classical limits (e.g Ohm's Law for electrons or
Fourier's Law for heat), from scattering-free (coherent) to scattering (incoherent) regimes,
from atomistic to continuum. Given a specific device,
we can then find out unambiguously what the equations tell us about its performance.
A past work we
did showed that we can
circumvent the textbook limit
on switching (technically known as
the subthreshold swing) if we can go around the assumptions that led to that limit in the
first place. So there
are a lot of games one can play without breaking fundamental principles.
Of course, more
often than not, there are trade-offs, such as between heat, speed and accuracy -- e.g. you could
trade
off power dissipation if you are willing to live with higher error rates. And the biggest
damper of them all could be simple economics -- a solution that looks great on paper but
is simply not cost-effective to implement! So we do not have an answer yet.
We expect to study the underlying science, not to solve miracles.
That's about it... but then, cooling laptops as hot as the sun through the power of
thinking or by breaking the 2nd law sounds fancier ... doesn't it?