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2023-08-22
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https://doi.org/10.31219/osf.io/3b6qy
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2023-08-22
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1/f Fluctuations on a Chain of Causal Relationships (Ⅱ); Computer Simulations
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2021-01-16
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2021
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Description
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, where a particle may branch into several particles, be absorbed, or be observed by a detector along a chain of causal relationships. In this paper, it is assumed that exactly two particles are produced by a branching process. The simulations show that the power spectrum of a series formed by the time intervals between successive particle detections is characterized by a 1⁄f distribution over a wide range of frequencies (more than eight decades). It is also discussed that the familiar 1⁄f fluctuations are strongly related to a chain of causal relationships in a natural phenomenon, reminiscent of the law of karma in Buddhism.
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https://doi.org/10.31219/osf.io/3b6qy
https://osf.io/3b6qy
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2024-06-17
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Title
1/f Fluctuations on a Chain of Causal Relationships (Ⅱ); Computer Simulations
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Tag
branching process
model
1/f fluctuations
causal relationship
spectrum
1/f noise
simulation
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https://osf.io/zh35v
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name
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Takayuki Kobayashi
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Engineering Physics
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Preprint
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Date created
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2021-01-06
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Model of 1/f Noise
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https://osf.io/zh35v
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Takayuki Kobayashi
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Takayuki Kobayashi
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