Finite-size effects on active chaotic advection.

  title={Finite-size effects on active chaotic advection.},
  author={Takashi Nishikawa and Zolt{\'a}n Toroczkai and Celso Grebogi and Tam{\'a}s T{\'e}l},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={65 2 Pt 2},
A small (but finite-size) spherical particle advected by fluid flows obeys equations of motion that are inherently dissipative, due to the Stokes drag. The dynamics of the advected particle can be chaotic even with a flow field that is simply time periodic. Similar to the case of ideal tracers, whose dynamics is Hamiltonian, chemical or biological activity involving such particles can be analyzed using the theory of chaotic dynamics. Using the example of an autocatalytic reaction, A+Bright… 

Moving finite-size particles in a flow: a physical example of pitchfork bifurcations of tori.

  • Jens C. ZahnowU. Feudel
  • Physics, Mathematics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2008
The case of an infinite cellular flow field with time-periodic forcing of small, spherical particles of finite size in fluid flows at low Reynolds numbers is investigated, and some of the bifurcations that these tori undergo are identified, as particle size and mass ratio relative to the fluid are varied.

Universality in active chaos.

It is shown that the fractal patterns serving as skeletons and catalysts lead to a rate equation with a universal form that is independent of the flow, of the particle properties, and of the details of the active process.

Transport and diffusion in the embedding map.

The dynamical regimes seen for the system at different parameter values are correlated with the transport properties observed at these regimes and in the behavior of the transients, and the existence of a crisis and unstable dimension variability at certain parameter values is shown.

Sand stirred by chaotic advection.

  • C. LópezA. Puglisi
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2003
A complex scenario appears for the long-time steady spatial distribution of particles, where clusters of particles may or may not appear, when it is stirred by a bidimensional smooth chaotic flow.

Influence of the history force on inertial particle advection: gravitational effects and horizontal diffusion.

It is shown that when the full advection dynamics is considered, including the history force, both the nature and the number of attractors change, and a fractalization of their basins of attraction appears.

Dynamics of Finite-Size Particles in Chaotic Fluid Flows

We review recent advances on the dynamics of finite–size particles advected by chaotic fluid flows, focusing on the phenomena caused by the inertia of finite–size particles which have no counterpart

Inhomogeneous distribution of water droplets in cloud turbulence.

The spectrum of Lyapunov exponents is derived that describes the evolution of small patches of particles and it is demonstrated that particles separate dominantly in the horizontal plane, providing a theory for the recently observed vertical columns formed by particles.

Aggregation and fragmentation dynamics of inertial particles in chaotic flows.

It is found that the combination of aggregation and fragmentation leads to an asymptotic steady state and the size distributions resulting from this model are consistent with those found in raindrop statistics and in stirring tank experiments.

A snapshot attractor view of the advection of inertial particles in the presence of history force

Abstract We analyse the effect of the Basset history force on the sedimentation or rising of inertial particles in a two-dimensional convection flow. We find that the concept of snapshot attractors



Petrovskii,Numerical Study of Plankton-Fish Dynamics in a Spatially Structured and No Environment

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Spatiotemporal Models of Population and Comm nity Dynamics~Chapman

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