On isosets of Brownian motion

S. W. de Leeuw; R. K. Kalia; P. Vashishta

doi:10.1016/0038-1098(86)90852-5

On isosets of Brownian motion

S. W. de Leeuw
, R. K. Kalia
, P. Vashishta

Research output: Contribution to journal › Article › peer-review

Abstract

Isosets of two-dimensional systems, comprised of times τ at which the coordinates x(t = τ) or y(t = τ) of diffussing particles equal a constant, are investigated by the molecular dynamics method. Fractal behavior is observed in the probability distribution for gaps between successive values of τ. The probability decays algebraically and the exponent, known as the fractal dimensionality D, is found to be 0.5. © 1986.

Original language	English
Pages (from-to)	749-752
Number of pages	4
Journal	Solid State Communications
Volume	57
Issue number	9
DOIs	https://doi.org/10.1016/0038-1098(86)90852-5
State	Published - Jan 1 1986
Externally published	Yes

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title = "On isosets of Brownian motion",

abstract = "Isosets of two-dimensional systems, comprised of times τ at which the coordinates x(t = τ) or y(t = τ) of diffussing particles equal a constant, are investigated by the molecular dynamics method. Fractal behavior is observed in the probability distribution for gaps between successive values of τ. The probability decays algebraically and the exponent, known as the fractal dimensionality D, is found to be 0.5. {\textcopyright} 1986.",

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N2 - Isosets of two-dimensional systems, comprised of times τ at which the coordinates x(t = τ) or y(t = τ) of diffussing particles equal a constant, are investigated by the molecular dynamics method. Fractal behavior is observed in the probability distribution for gaps between successive values of τ. The probability decays algebraically and the exponent, known as the fractal dimensionality D, is found to be 0.5. © 1986.

AB - Isosets of two-dimensional systems, comprised of times τ at which the coordinates x(t = τ) or y(t = τ) of diffussing particles equal a constant, are investigated by the molecular dynamics method. Fractal behavior is observed in the probability distribution for gaps between successive values of τ. The probability decays algebraically and the exponent, known as the fractal dimensionality D, is found to be 0.5. © 1986.

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U2 - 10.1016/0038-1098(86)90852-5

DO - 10.1016/0038-1098(86)90852-5

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SN - 0038-1098

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JO - Solid State Communications

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On isosets of Brownian motion

Abstract

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