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The rarefied (non-continuum) conditions of tracer particle transport in soils, with implications for assessing the intensity and depth dependence of mixing from geochronology

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Figure

Figure 1. Definition diagram of soil-mantled hillslope with me-chanically active soil thickness h = ζ − η, and cutout soil elementwith dimensions XYh
Figure 2. Schematic diagram of (a) soil element with dimensionsXYh. Particles move from the soil–saprolite interface (z = 0) intothe element at a steady rate W and are eroded from the surface(z = h)
Figure 3. Plot of dimensionlessone standard deviation bars. Simulations represent uniform mixing withtrations 10Be concentration ˆn = n(z)/n(h) versus dimensionless height ˆz = z/h showing simulated particle concen- ˆnp (gray dots) for Pe = 100, 10, 1, 0.1
Figure 4. Plot of dimensionlesstrationsone standard deviation bars. Simulations represent nonuniform mixing with 10Be concentration ˆn = n(z)/n(h) versus dimensionless height ˆz = z/h showing simulated particle concen- ˆnp (gray dots) for Pe = 100,10,1,0.1
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