Jeu. 07/03/2019 14:00 Amphi Jean Jacques Moreau, Bâtiment 2, RdC
SAITOH Kuniyasu (Research Alliance Center for Mathematical Sciences (RACMaS), WPI Advanced Institute for Materials Research (AIMR), Tohoku University, Japan)
Stress relaxation above and below the jamming transition
We numerically investigate stress relaxation in soft athermal disks and predict critical divergence of relaxation time near the jamming transition by viscoelastic theory. We observe critical slowing down of time-dependent shear modulus when the system approaches the critical point from both above and below jamming. Interestingly, critical exponents for the relaxation time are different on both sides. The relaxational density of states, which is a key ingredient of the viscoelastic theory, also exhibits a qualitative difference; an extra slow relaxational mode emerges below jamming. Implementing the extra mode in the theory, we explain the critical exponents for the relaxation time.
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