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Dimensionless effective diffusion constant, Deff(r)∕D(a), as a function of the dimensionless particle radius, x=r∕a, for the case of dead ends with cavities of the same volume as Vtube, i.e., β=1. Solid curves from top to bottom correspond to α=0,2,5,10,20. The dashed line shows the 1∕x behavior of the ratio at x<1. All curves merge into one, Deff(r)∕D(a)=1∕x, at x>1 since Deff(r)=D(r)=D(a)a∕r at r>a.
