FRACTAL LIMIT DISTRIBUTIONS IN RANDOM TRANSPORTS
Keyword(s):
We analyze a random transport model of a scalar quantity on a discrete space-time. By changing a parameter which is a portion of the quantity transported at a time, we observe a continuous change of steady-state distribution of fluctuations from Gaussian to a power-law when the mean value of the scalar quantity is not zero. In the symmetric case with zero mean, the steady-state converges either to a trivial no fluctuation state or to a Lorentzian fluctuation state with diverging variance independent of the parameter. We discuss a possible origin of the intermittent behaviors of fully-developed fluid turbulence as an application.
2017 ◽
Vol 2017
(6)
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pp. 063201
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Keyword(s):
1985 ◽
Vol 22
(03)
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pp. 611-618
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Keyword(s):
1985 ◽
Vol 248
(5)
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pp. C498-C509
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1996 ◽
Vol 39
(4)
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pp. 525-540
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Keyword(s):
1969 ◽
Vol 7
(1)
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pp. 101-109
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2017 ◽
Vol 31
(4)
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pp. 420-435
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1968 ◽
Vol 7
(1)
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pp. 103-112
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