tokens: Most of the numerical calculations presented in this study were performed on the Savio computational cluster provided by the Berkeley Research Computing program at the University of California, Berkeley (supported by the UC Berkeley Chancellor, Vice Chancellor of Research, and Office of the CIO). We would like to thank the anonymous referee for the very thorough and detailed review, which resulted in a substantially improved manuscript. We would like to specifically acknowledge the referee for having the idea to estimate the value of from the “effective gravitational energy” released upon mixing.
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