Complete information and further update: http://www.phys.sinica.edu.tw/jctsai/gradient/)
Experiments on a gradient of vibration, frequency=25Hz; V-track with no tilt. The vibration strength (VS, defined in the main page) = 1.23
1) Movies showing a spatial divide around the transition, initiated at x=33cm [N=8, Topviews, 48X speed playback]
Demo 1 [57MB] , compressed [2MB]The vibration amplitude increases linearly rightwards, with markers showing the spatial scale at intervals of 1cm.
Demo 2 [57MB] , compressed [2MB]
--- In some rare cases, the chain going to the right can rejoin the monotonic ratcheting on the left: Demo 3 [21MB] , compressed [1MB]
Ground state , Gamma ~ 1.4 -- the roughly in-sync movements with the substrate, accompanying the monotonic ratcheting [0.4s in real time, displayed in 10s] [20MB]
Mode 1 , Gamma ~ 1.7 -- the swift reversed ratcheting "led" by the swinging end on the right
(a) [with spot illumination; 0.2s in real time, displayed in 5s] ; (b)[0.4s in real time, displayed in 10s]
Mode 2 , Gamma ~ 1.7 -- the tug-of-wars [with spot illumination; 0.2s in real time, displayed in 5s]
Further up the gradient, the coherence is lost and the response of the chain shows no recognizable patterns -- responses at excessive excitations (Gamma = 2.17)
Initial x=33cm [41MB] , Initial x=38cm [41MB]