Step dynamics on vicinal surfaces using discrete interface models

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 3, 2006, Pages

  Upton, P J ^a,b  

^a OPEN UNIVERSITY   (United Kingdom)

^b MAX PLANCK INSTITUTE FOR INTELLIGENT SYSTEMS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE INTERFACE MODELS; STEP DYNAMICS; VICINAL SURFACES;

CONTINUUM MECHANICS; DIFFUSION; FUNCTIONS; INTERFACES (MATERIALS); MATHEMATICAL MODELS;

SURFACE STRUCTURE;

EID: 33644754762     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.031601     Document Type: Article

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20. The jump rates are given by an Arrhenius equation: e.g., w ∥ = ν ∥ e-Δ E ∥ / kB T, where ν ∥ is the attempt frequency and Δ E ∥ is the energy barrier for the jump. Analogous expressions hold for w ∥′, w ⊥, and w ⊥ ′.
21. Note that Δ ⊥ p | k p | k+1 + p | k-1 -2 p|k and similarly for Δ ∥, the latter having a period- N boundary condition.
22. It is important to note that w ⊥ ′ +Υ[α(q)] can never be negative and is equal to zero only at q=0 when w ⊥ ′ =0 where the barrier becomes reflecting.