How does a Poisson process generate the exponential decay? The exponential decay is derived by $latex \displaystyle \frac{dN}{dt} = - k N \rightarrow N(t) = N_0 \exp\left(-kt\right) = N_0 2^{- t / \tau}, ~ k = \frac{\log(2)}{\tau}$ which m…
How does a Poisson process generate the exponential decay? The exponential decay is derived by which means the rate of the loss of the number of nuclei is proportional to the number of nuclei. and is the half-life. This is a phenomenological and macroscopic equation that tells us nothing about an individual decay. Can we […]
