Figure 8 - uploaded by Robin Engelhardt
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Cyclic variation of extinction rate for very long times. The extinctions do not die out significantly in this system of low connectivity (N, K) = (128, 6), σ = 1.95. Also shown are nD(0) (top), nD(p) (bottom) and the mean outgoing rate k 0 i .
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Motivated by an alternative to the concept of a prebiotic soup in the form of interacting crystal growth close to hot vents, we investigate a model system in which the growth rate of a particular entity is modified (enhanced or reduced) by other entities present, thus forming a web of cross catalysis. Initially random interactions are imposed, but...
Contexts in source publication
Context 1
... period of this cycle taken to be very long (say, 5000) (See Figure 8). This choice makes the explicit first order rate constants vary between k 0 i and zero at the bottom of the cycle. ...
Context 2
... we would expect from the introduced cyclic variation of the outgoing rates k i , Equation (4), this cyclic variation tends to destabilize the system, and an increased extinction rate is observed when the k i 's peak. See Figure 5 or Figure 8. ...
Context 3
... number of positive elements diminished to 5%, a substantial increase in extinction rate through the cycles is observed (lower curve). See also Figure 8. However in systems with low connectivity, (N, K) = (128, 3) a much smaller extinction rate is encountered, and it stays low even for σ = 1.95 (see Figure 6). ...
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