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0042108991
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note
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No systematic dependance of the avalanche angle on the f beads diameter is observed. We measured respectively θ = 28.2, 29.6, and 28.7±1 degrees for D = 57, 112, and 225 μm. The uncertainty of the measurements (1 degree) is due to the preparation of the samples, and the difference measured between the samples can be due to several factor (polydispersity, surface roughness, etc.). Moreover, whatever the avalanche angle of reference is, we are interested in how it changes with time and not in its absolute value
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18
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0042108993
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note
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i is well-defined for a given sample
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19
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0034215298
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23
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0042108988
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note
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Within the gel, the probability to form a new (Si-O)-Si bond from two Si-OH groups depends on the distance between the Si atoms. If these atoms are initially both bonded to the gel, supposed to be an elastic medium, we can assume that the activation energy includes an addi-tional term depending on the initial positions of the Si atoms. Thus, activation energies can be widely distributed as the initial positions of the Si atoms are random. In this case, we expect the number of bonds to increase logarithmically with time (see reference [11] for analogy with capillary condensation)
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24
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0042108992
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note
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A microphotograph of a solid bridge between two grains can be found in Ref. [14]. Olivi-Tran et al observed the formation of solid bridges within the liquid bridges formed after capillary condensation. In this case, the size of the solid bridge is limited by the size of the liquid bridge. When the material is immersed in water, the size of the solid bridge is limited by the thickness of the corroded layer
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25
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0030809812
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