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Branching Process Model applied to the 1/f Noise (Ⅱ); Computer Simulations

Computer simulations are used to test how the branching process model is available to discuss the 1⁄f problem with the equations described in my previous paper, in which a particle may branch into several particles, be absorbed or be observed by a detector. In this work it is assumed that exactly two particles are produced by a branching. The simulations demonstrate that the power spectrum of a series formed by time intervals between successive detections of particles is characterized by a 1⁄f distribution in a wide range of frequency (more than seven decades). It is also discussed that the 1⁄f fluctuations being familiar around us are strongly connected with a chain of causal relationships in a natural phenomenon, which reminds us of the core idea of interdependent co-arising in Buddhism.