2002
DOI: 10.1016/s0039-6028(02)01427-9
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Kink density and propagation velocity of the [] step on the Kossel () surface

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Cited by 36 publications
(69 citation statements)
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“…If the kink sites along an edge are formed by thermal fluctuations (in contrast to one dimensional nucleation, for more on this subject the reader is referred to Zhang and Nancollas 70 and Cuppen et al 71,72 ) and are located in their most probable configuration, they will be Boltzmann distributed along the steps with the distance between kinks, x 0 , equal to…”
Section: Layered Growthmentioning
confidence: 99%
“…If the kink sites along an edge are formed by thermal fluctuations (in contrast to one dimensional nucleation, for more on this subject the reader is referred to Zhang and Nancollas 70 and Cuppen et al 71,72 ) and are located in their most probable configuration, they will be Boltzmann distributed along the steps with the distance between kinks, x 0 , equal to…”
Section: Layered Growthmentioning
confidence: 99%
“…8). Under the assumption that no overhangs exist, it is possible to derive an analytical expression for the surface roughness at equilibrium as shown in Appendix A (Temkin, 1969;Cuppen et al, 2002Cuppen et al, , 2003. Results of this analysis for a linear P diss (with reaction leading to overhangs excluded) are shown in Fig.…”
Section: Mechanistic Implications Of Decreasing Roughness As a Functimentioning
confidence: 99%
“…The following derivation is based on the work of Temkin (1969) and Cuppen et al (2002). For convenience, we denote P diss (Nbrs) as d Nbrs and P precip (Nbrs) as p Nbrs .…”
Section: Appendix Amentioning
confidence: 99%
“…(Lasaga and Lü ttge, 2004). Most programs are tailored to specific applications but some are more general (Cuppen et al, 2000(Cuppen et al, , 2002(Cuppen et al, , 2006Hines, 2001;van Veenendaal et al, 2002;Lasaga and Lü ttge, 2003). Our aim is to simulate the evolution of nuclear track etch pits in minerals.…”
Section: Simulationmentioning
confidence: 99%
“…The two operations are separated to avoid cascades. This approach is perhaps less efficient in terms of processor time and memory usage than the more common n-fold way algorithm (Bortz et al, 1975;Cuppen et al, 2000Cuppen et al, , 2002Cuppen et al, , 2006 but it has the advantage that several surface elements can be eliminated during each cycle and that there is no need for time-scaling: each cycle corresponds to an equal unit of real time. The code is written in Sun Microsystems Java TM ; MathWorks Matlab TM was used for evaluating and plotting the results.…”
Section: Simulationmentioning
confidence: 99%