@article{ISI:000396587000007,
 abstract = {Small particles in suspension in a turbulent fluid have trajectories
that do not follow the pathlines of the flow exactly. We investigate the
statistics of the angle of deviation phi between the particle and fluid
velocities. We show that, when the effects of particle inertia are
small, the probability distribution function (PDF) P-phi of this
deviation angle shows a power-law region in which P-phi similar to
phi(-4). We also find that the PDFs of the trajectory curvature. and
modulus theta of the torsion theta have power-law tails that scale,
respectively, as P-kappa similar to kappa (-5/2), as kappa -> infinity,
and P-phi similar to phi(-3), as theta -> infinity: These exponents are
in agreement with those previously observed for fluid pathlines. We
propose a way to measure the complexity of heavy-particle trajectories
by the number N-I(t, St) of points (up until time t) at which the
torsion changes sign. We present numerical evidence that n(I)(St)  lim(t
->infinity) N-I(t, St)/t similar to St(-Delta) for large St, with Lambda
similar or equal to 0.5.},
 article-number = {063112},
 author = {Bhatnagar, Akshay and Gupta, Anupam and Mitra, Dhrubaditya and Perlekar,
Prasad and Wilkinson, Michael and Pandit, Rahul},
 doi = {10.1103/PhysRevE.94.063112},
 eissn = {2470-0053},
 issn = {2470-0045},
 journal = {PHYSICAL REVIEW E},
 month = {DEC 23},
 number = {6},
 orcid-numbers = {Gupta, Anupam/0000-0002-7335-0584},
 researcherid-numbers = {Gupta, Anupam/N-4777-2018},
 times-cited = {3},
 title = {Deviation-angle and trajectory statistics for inertial particles in
turbulence},
 unique-id = {ISI:000396587000007},
 volume = {94},
 year = {2016}
}