Estimated energy usage:
There are two template-replicating polymers present from the start. Hide the bath to see them better. The two are: eacbdf (purple-red-green-blue-yellow-cyan) and ebdbdf (purple-green-yellow-green-yellow-cyan). They replicate by pulling in matching atoms from the surrounding bath.
The colors (abcdef) of the atoms never change. The numbers/letters you see (01233456789ABCDEFHI) are their states. We use the states to direct the replication process. Replication works like this:
eabcdf --> eabcdffcdbae --> eabcdf + fcdbae
Reactions happen between pairs of atoms, and can bond or unbond them and change their states. All reactions are reversible with equal probability. Bonding reactions are energetically downhill, unbonding reactions are uphill.
The reactions in our system are listed below. They are designed to let any sequence e{abcd}*f replicate. Credit to Dave Mann for inventing this form of template-replication (see the Organic Builder paper).
x1yD -> xDy1 // message-passing
x2yD -> xDy2
x3yD -> xDy3
x4yD -> xDy4
x5yD -> xDy5
x6yD -> xDy6
x7 + a0 -> xDaE // bond the appropriate type
x8 + b0 -> xDbE
x9 + c0 -> xDcE
xA + d0 -> xDdE
xB + e0 -> xDeF // (if bonded an 'e' then we start reset1 (F) )
xC + f0 -> xDfE
x1yE -> xDy7 // activate for the next one to be bonded
x2yE -> xDy8
x3yE -> xDy9
x4yE -> xDyA
x5yE -> xDyB
aFxD -> a1xF // reset1 passes over a base 'a', setting its state to 1
bFxD -> b2xF
cFxD -> c3xF
dFxD -> d4xF
eFxD -> e5xF
fFfD -> fC + fG // unbonds when reset1 passes over the central f-f
fGxD -> fGxH // reset2 (G) starts moving
aHxD -> aGxH // reset2 passes over a base
bHxD -> bGxH
cHxD -> cGxH
dHxD -> dGxH
eHxG -> e5xI // reset2 ends, starts reset3 (I)
aIxG -> a1xI // reset3 passes over a base
bIxG -> b2xI
cIxG -> c3xI
dIxG -> d4xI
fIa1 -> fCa1 // reset3 gets to the end
fIb2 -> fCb2
fIc3 -> fCc3
fId4 -> fCd4
fIe5 -> fCe5
This is a bit complicated, which is annoying. Here are some notes:
states 1-6: passive message saying we would like to bond a-f respectively states 7-C: active end of the growing molecule, ready to bond the next atom (of type a-f respectively) state D: empty space in message-passing state E: active end ready to be told what the next atom to be bonded is states FGHI: resets 1,2,3,4
The simplest possible replicator is e5fC.