The work derives asymptotic cumulant behaviors for the Rayleigh gas mixture, showing trivial fluctuation limits in overdilute regimes and a linear Boltzmann-Hamilton-Jacobi system for large deviations, while optimizing billiard estimates for full convergence rates.
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Cumulants of the Rayleigh gas mixture model: statistical results
The work derives asymptotic cumulant behaviors for the Rayleigh gas mixture, showing trivial fluctuation limits in overdilute regimes and a linear Boltzmann-Hamilton-Jacobi system for large deviations, while optimizing billiard estimates for full convergence rates.