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Inertial particles driven by a telegraph noise

G. Falkovich·S. Musacchio·L. Piterbarg·M. Vucelja
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Abstract

We present a model for the Lagrangian dynamics of inertial particles in a compressible flow, where fluid velocity gradients are modelled by a telegraph noise. The model allows for an analytic investigation of the role of time correlation of the flow in the aggregation-disorder transition of inertial particle. The dependence on Stokes and Kubo numbers of the Lyapunov exponent of particle trajectories reveals the presence of a region in parameter space (St, Ku) where the leading Lyapunov exponent changes sign, thus signaling the transition. The asymptotics of short and long-correlated flows are discussed, as well as the fluid-tracer limit.

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G. Falkovich, S. Musacchio, L. Piterbarg, M. Vucelja. 2007-03-28. Inertial particles driven by a telegraph noise. https://doi.org/10.1103/physreve.76.026313

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