Journal
PHYSICAL REVIEW E
Volume 100, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.100.023102
Keywords
-
Categories
Funding
- Vetenskapsradet [2017-3865]
- Formas [2014585]
- grant Bottlenecks for particle growth in turbulent aerosols from the Knut and Alice Wallenberg Foundation [KAW 2014.0048]
Ask authors/readers for more resources
We study a one-dimensional model for heavy particles in a compressible fluid. The fluid-velocity field is modeled by a persistent Gaussian random function, and the particles are assumed to be weakly inertial. Since one-dimensional fluid-velocity fields are always compressible, the model exhibits spatial trapping regions where particles tend to accumulate. We determine the statistics of fluid-velocity gradients in the vicinity of these traps and show how this allows one to determine the spatial Lyapunov exponent and the rate of caustic formation. We compare our analytical results with numerical simulations of the model and explore the limits of validity of the theory. Finally, we discuss implications for higher-dimensional systems.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available