A tree algorithm reduces multi-component coagulation complexity from O(N^{2d}) to O(d N^d log N) by grouping similar interactions and matches direct-method results in tests with analytic solutions.
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The spokes are modeled as a two-component system of persistent diamagnetic pyrolytic carbon and transient diamagnetic ice grains whose visibility and dynamics are controlled by electromagnetic interactions with Saturn's magnetosphere and solar elevation.
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A fast tree algorithm for multi-component coagulation equation
A tree algorithm reduces multi-component coagulation complexity from O(N^{2d}) to O(d N^d log N) by grouping similar interactions and matches direct-method results in tests with analytic solutions.
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The Two-component Model of the 'spokes' in Saturn's Rings
The spokes are modeled as a two-component system of persistent diamagnetic pyrolytic carbon and transient diamagnetic ice grains whose visibility and dynamics are controlled by electromagnetic interactions with Saturn's magnetosphere and solar elevation.