Percolations induced by quasistatic shear in athermal systems with weak attraction*

When quasistatically shearing athermal particulate systems with weak attraction, we observe both connectivity percolation and solidlike transitions over a wide range of packing fractions below the jamming transition point. It is already known that without shear connectivity percolation for the same system occur at specific packing fraction, φ_cp. It is interesting that driven by shear the system undergoes percolation transition even far below φ_cp. We find that φ_cp and another specific packing fraction approximately separate the whole packing fraction regimes into three parts, in which the connectivity percolation exhibits apparent differences. Combining the static structure factor, we come up with a novel phase diagram with percolation transitions, and regimes of phase separation, gelation, shear jamming, and jamming.