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. 2017 Jun 12;114(26):E5034–E5041. doi: 10.1073/pnas.1706645114

Table 1.

Models on the migration angle of DLD devices

Source Pillar diameter(D0) Dx/Dy N(=1/ϵ) Modes θz θb Mode transition Diffusion
Inglis et al. (2006) (12) Point 1 Integer Z, B 0 θp Binary No
Heller and Bruus (2008) (16) Point 1 Integer Z, B 0 θp Continuous Yes
Long et al. (2008) (17) Point 1 Noninteger Z, MD, B 0 θp Discrete, N dependence No
Kulrattanarak et al. (2011) (15) Physical 1,2,3 Integer Z, M, B 0 θp Continuous No
Cerbelli (2012) (20) Physical 1 Noninteger Z, MD, B 0 θp Discrete, N dependence No
Present work Physical All All AZ, B 0 θp Binary, D0 dependence No

AZ, altered zigzag mode; B, bumping mode; M, mixed mode; MD, multidirectional mode; Z, zigzag mode; θZ, migration angle of zigzag mode; θb, migration angle of bumping mode; θp, structural angle of pillar array; ε, row-shift fraction.