Author:
Maegochi S.,Ienaga K.,Okuma S.
Abstract
AbstractRandom assemblies of particles subjected to cyclic shear undergo a reversible–irreversible transition (RIT) with increasing a shear amplitude d or particle density n, while the latter type of RIT has not been verified experimentally. Here, we measure the time-dependent velocity of cyclically sheared vortices and observe the critical behavior of RIT driven by vortex density B as well as d. At the critical point of each RIT, $$B_{\mathrm {c}}$$
B
c
and $$d_{\mathrm {c}}$$
d
c
, the relaxation time $$\tau $$
τ
to reach the steady state shows a power-law divergence. The critical exponent for B-driven RIT is in agreement with that for d-driven RIT and both types of RIT fall into the same universality class as the absorbing transition in the two-dimensional directed-percolation universality class. As d is decreased to the average intervortex spacing in the reversible regime, $$\tau (d)$$
τ
(
d
)
shows a significant drop, indicating a transition or crossover from a loop-reversible state with vortex-vortex collisions to a collisionless point-reversible state. In either regime, $$\tau (d)$$
τ
(
d
)
exhibits a power-law divergence at the same $$d_{\mathrm {c}}$$
d
c
with nearly the same exponent.
Funder
KAKENHI from the Japan Society for the Promotion of Science
Publisher
Springer Science and Business Media LLC
Cited by
8 articles.
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