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Conservation of Fractional Mean Energy in Dissipative Gases by Fujii, Keisuke is a scholarly article available to read on EtoBox.

What is Conservation of Fractional Mean Energy in Dissipative Gases about?

I show a nontrivial functional giving a conservation quantity in the collisional energy cascade of dissipative Maxwell gases: a fractional-calculus extension of the mean energy. The conservation of this quantity directly leads the power-law energy tail that is stationary during the temporal evolution. In the thermal limit, this quantity naturally reduces to the standard mean energy. This conservation law and its extension to particles with other interactions are demonstrated with a Monte-Carlo simulation for inelastic gases.

Author

Fujii, Keisuke

Published

2022

Language

EN