Relative entropy - #1329
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July 27, 2026 15:24
as a data reduction operator that is basically a moment of the distribution function and meassures the changes in entropy over time. This is useful to meassure numerical collisionallity as well as to get physics insights on non-reversible changes.
compared to a Maxwellian with the same density n, flow velocity U and
temperature T. Compared to the definition of the H function
H = \int f log(f) d3v with
this introduces
\sigma_{rel} = \int f log (f/f_M) d3v
as suggested by Cassak et al. 2003.
i.e. sigma_{rel} / n as as suggested in the supplemental material to
Cassak et al. 2023 is a good meassure for the non-maxwellianess of the
distribution.
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A few more diagnostics based on Cassak et al. 2023 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.130.085201