 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| • |
Imagine a casino
in Las Vegas that is full of card dealers
|
|
|
(we need many
more than 52! of them).
|
|
| • |
We start with
all the card packs in standard order and then
|
|
the dealers all
start shuffling their packs.
|
|
|
– |
After
a few time steps, the king of spades still has a
|
|
|
good
chance of being next to queen of spades. The
|
|
|
packs
have not been fully randomized.
|
|
|
– |
After
prolonged shuffling, the packs will have forgotten
|
|
|
where
they started. There will be an equal number of
|
|
|
packs
in each of the 52! possible orders.
|
|
|
– |
Once
equilibrium has been reached, the number of
|
|
|
packs
that leave a configuration at each time step will
|
|
|
be
equal to the number that enter the configuration.
|
|
| • |
The only thing
wrong with this analogy is that all the
|
|
|
configurations
have equal energy, so they all end up with
|
|
|
the same
probability.
|
|