Inertial particles driven by a telegraph noise

Details Inertial particles driven by a telegraph noise Inertial particles driven by a telegraph noise

2007-03-28

arxiv.org/abs/nlin/0703055v1

Phys. Rev. E 76, 026313 (2007)

Nonlinear Sciences

Chaotic Dynamics

8 pages, 6 figures

Scientific paper

10.1103/PhysRevE.76.026313

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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