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yichen96 / complexity_project

for C&N course part one
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task2a #5

Open yichen96 opened 7 years ago

yichen96 commented 7 years ago

Starting from an empty system, measure the total height of the pile as a function of time t for the range of system sizes listed above. L=16,32,64,128,256 Plot the height h(t; L) vs. time t for the various system sizes in the same plot. Reflect upon the results obtained in terms of transient and recurrent configurations. How does the cross-over time tc(L) for the system to reach the recurrent configurations (steady state) scale with system size? Qualify your answer. How does the height of the pile in the steady state scale with system size? Qualify your answer.

yichen96 commented 7 years ago

can you automatically find time t_c? i.e. without looking and estimating from the graph

yichen96 commented 7 years ago

--> Can search for gradient of the curve

yichen96 commented 7 years ago

--> when the first grain drop out of the system

yichen96 commented 7 years ago

the height goes as sqrt of time?