Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic Conditions for Hydrodynamic Synchronization   Synchronization of actively oscillating organelles such as cilia and flagella
facilitates self-propulsion of cells and pumping fluid in low Reynolds number
environments. To understand the key mechanism behind synchronization induced by
hydrodynamic interaction, we study a model of rigid-body rotors making fixed
trajectories of arbitrary shape under driving forces that are arbitrary
functions of the phases. For a wide class of geometries, we obtain the
necessary and sufficient conditions for synchronization of a pair of rotors. We
also find a novel synchronized pattern with a time-dependent phase shift. Our
results shed light on the role of hydrodynamic interactions in biological
systems, and could help in developing efficient mixing and transport strategies
in microfluidic devices.

29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph