Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic Modes of Microcapsules in Steady Shear Flow: Effects of Bending
  and Shear Elasticities   The dynamics of microcapsules in steady shear flow was studied using a
theoretical approach based on three variables: The Taylor deformation parameter
$\alpha_{\rm D}$, the inclination angle $\theta$, and the phase angle $\phi$ of
the membrane rotation. It is found that the dynamic phase diagram shows a
remarkable change with an increase in the ratio of the membrane shear and
bending elasticities. A fluid vesicle (no shear elasticity) exhibits three
dynamic modes: (i) Tank-treading (TT) at low viscosity $\eta_{\rm {in}}$ of
internal fluid ($\alpha_{\rm D}$ and $\theta$ relaxes to constant values), (ii)
Tumbling (TB) at high $\eta_{\rm {in}}$ ($\theta$ rotates), and (iii) Swinging
(SW) at middle $\eta_{\rm {in}}$ and high shear rate $\dot\gamma$ ($\theta$
oscillates). All of three modes are accompanied by a membrane ($\phi$)
rotation. For microcapsules with low shear elasticity, the TB phase with no
$\phi$ rotation and the coexistence phase of SW and TB motions are induced by
the energy barrier of $\phi$ rotation. Synchronization of $\phi$ rotation with
TB rotation or SW oscillation occurs with integer ratios of rotational
frequencies. At high shear elasticity, where a saddle point in the energy
potential disappears, intermediate phases vanish, and either $\phi$ or $\theta$
rotation occurs. This phase behavior agrees with recent simulation results of
microcapsules with low bending elasticity.

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The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex