  We analyze fluctuations of particle displacements and stresses in a sheared
athermal suspension of elastic capsules (red blood cells). Upon variation of
the volume fraction from the dilute up to the highly concentrated regime, our
numerical simulations reveal different characteristic power-law regimes of the
fluctuation variances and relaxation times. In the jammed phase and at high
shear rates, anomalous scaling exponents are found that deviate from pure
dimensional predictions. The observed behavior is rationalized via kinetic
arguments and a dissipation balance model that takes into account the local
fluid flows between the particles. Our findings support the view that the
rheology of dense suspensions is essentially governed by the non-affine
displacements.
