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- W2022070286 abstract "A new theoretical model for the description of particle shape distributions is suggested. Within its framework a complex Fourier representation of particle shape is used. A frequency distribution expressing the contributions of the different complex harmonics to the dispersion of a position vector is defined. The author assumes that particles with different shapes are generated during a scale-invariant fragmentation process. Starting from an arbitrary shape distribution the fragmentation leads to a succession of different shape distributions. The asymptotic behaviour of this sequence is analysed by means of a stochastic renormalisation approach. Two different scaling laws are found. One scaling law describes the behaviour of the moments of amplitudes attached to the Fourier representation of particle shape, whereas the other corresponds to the renormalized size distribution. In particular, the author gives a theoretical derivation of the empirical law of morphological coefficients discovered by Meloy (1978). A physical interpretation of the scaling conditions is given based on a many-particle branched-chain approach. The author suggests that the scaling behaviour is mainly due to the time-homogeneous Markovian structure of the many-particle evolution equations." @default.
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- W2022070286 date "1992-11-21" @default.
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- W2022070286 title "Meloy's law of morphological coefficients as a scaling condition for the Fourier representation of particle shape: a stochastic renormalization approach" @default.
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- W2022070286 doi "https://doi.org/10.1088/0305-4470/25/22/012" @default.
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