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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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A grand canonical mixture model generalizes the nonideal Rayleigh gas to infinite perturbed tagged particles, studies correlation function convergence, and proves a law of large numbers with improved adaptive time cutting.
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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.
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About a nonideal Rayleigh gas mixture model
A grand canonical mixture model generalizes the nonideal Rayleigh gas to infinite perturbed tagged particles, studies correlation function convergence, and proves a law of large numbers with improved adaptive time cutting.