Abstract
Three seemingly unrelated topics are discussed: surface growth, directed polymers, and 1/f noise. From the discussion of surface growth, a nonlinear differential equation is motivated. It is shown to be related to the problem of Directed Polymers in a random medium. The partition function of these Directed Polymers can be regarded as a hybrid of sums and products of random numbers, we show its distribution is a natural generalization of the log-normal distribution. We use this knowledge to explain why is 1/f noise in nature so robust.
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© 1989 Springer Science+Business Media New York
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Zhang, YC. (1989). Surface Growth, Directed Polymers, and 1/f Noise. In: Pietronero, L. (eds) Fractals’ Physical Origin and Properties. Ettore Majorana International Science Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3499-4_21
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DOI: https://doi.org/10.1007/978-1-4899-3499-4_21
Publisher Name: Springer, Boston, MA
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