Exponential growth or decline of connected stock
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ExponentialChange will fill (or drain) the
connected stock from a source (or into a sink) with infinite
capacity at a rate that is determined at any time as the product of
the current amount in the connected stock and the fractional rate
given by the real input u. By convention, a
positive rate will fill the stock, while a negative rate will drain
it.
Notes
- By default it is assumed, that the rate given is a continously
compounding rate (
isCCR = true). If this is not case,
the rate will be converted using the →ForceOfInterest
converter.
- Care has to be taken in case an →InformationLevel
with a negative level is connected to the ExponentialChange, as the
sign of the effective rate is affected by this.
- Exponential change processes have a constant doubling
time (or a constant half-life) which can be
found by dividing log(2) ≈ 0.69 by the continuously
compounding fractional rate (or by log(1+rate) if the rate is not a
continuously compounding rate).
See also
ExponentialGrowth, ExponentialDecline,
ExponentialDecay
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