Stochastic model for the residence time of solid particles in turbulent Rayleigh-Bénard flow

We take inspiration from the turbulent Rayleigh-B\`enard flow of Pi Chamber and consider a particle-laden direct numerical simulation (DNS). The aim our study is to develop simple stochastic model that can accurately describe residence times particles in flow. underlying conceptual picture based on repeated trips between top bottom boundaries, driven by convective cells occur turbulence. Beyond demonstrating model's efficacy, we use framework shed light independent roles gravity inertia play governing times.