When it comes to radioactive decay, what is the difference between random and spontaneous?
For example, when the count rate of a radioactive isotope is measured, the readings fluctuate. Is this a demonstration of the randomness of the process, or of its spontaneous nature?
Answer
I believe spontaneous means it happens on its own. You don't need any outside influence to get the isotope to decay. This term is sometimes used in contrast to stimulated.
Random means one cannot know precisely when the next decay will happen, though one can predict the probability of such events occurring in some time interval.
A decay process can be both spontaneous and random, but only one of these two options touches on the statistical nature of decay.
There's a small bit in the introductory paragraph of the Wikipedia page on radioactive decay.
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