![]() ![]() The “half-life” and the time constant “tau” are two different ways of measuring the same thing, which is the decay rate. Each year it moves a certain percentage of the distance to the equilibrium value. ![]() An example of a hypothetical exponential decay of a system at equilibrium from a single pulse of amplitude 1 at time zero. ![]() Figure 1 shows the exponential decay after a single disturbance at time zero, as the disturbance is slowly decaying back to the pre-pulse value.įigure 1. Instead, each year it moves a certain percentage of the remaining distance to equilibrium. The system doesn’t return to equilibrium all at once. Exponential decay also describes what happens when a system which is at some kind of equilibrium is disturbed from that equilibrium. The hallmark of exponential decay is that every time period, the decay is a certain percentage of what remains at that time. This is a physical example of a common type of natural decay called “exponential decay”. ![]()
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