1985
DOI: 10.1103/physrevlett.54.1828
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Theory of Ballistic Aggregation

Abstract: We give a mean-field, continuum treatment of ballistic aggregation on a seed and a line. The treatment is deterministic, except for one statistical assumption, the so-called tangent rule which determines the mean direction of growth. Our treatment represents progress toward the explanation of the columnar microstructure.PACS nUmbers: 68.55. + b, 05.70.Ln, 81.15.Jj In recent years much interest has focused on nonequilibrium aggregation processes, that is, the formation of structures by the irreversible addit… Show more

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Cited by 107 publications
(24 citation statements)
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“…It was explained through ballistic aggregates, i.e. particles moving in straight lines are added to a structure whenever they touch a previously added particle [10]. In the present case, the columnar layers were found corresponding to the divertor-discharges of relatively low NBI-heating power at 6, 9, and 11 MW which very probably led surface temperature to, at most, 700 K, referring to the surface temperature data [11].…”
Section: Resultsmentioning
confidence: 93%
“…It was explained through ballistic aggregates, i.e. particles moving in straight lines are added to a structure whenever they touch a previously added particle [10]. In the present case, the columnar layers were found corresponding to the divertor-discharges of relatively low NBI-heating power at 6, 9, and 11 MW which very probably led surface temperature to, at most, 700 K, referring to the surface temperature data [11].…”
Section: Resultsmentioning
confidence: 93%
“…It has been well-recognized that at low deposition temperatures the film microstructure is determined by the combined effect of atom shadowing and limited atomic mobility. Under these conditions, the simplified ballistic deposition model first introduced by Vold 28 and later refined by Ramanlal and Sander 29 gives a reasonable view of film microstructure evolution. According to this model, the sputtered particles from the target are added one by one on the substrate following trajectories with the substrate in a line-of-sight impingement.…”
Section: P ) Armentioning
confidence: 99%
“…Ballistic aggregation theories are a powerful method for understanding the common growth mechanism in the preparation of evaporated films. 6,7 The well-known columnar structure of evaporated films is a clear example of optical anisotropy and inhomogeneity induced by a typical nanostructure. Films evaporated at normal incidence are expected to have uniaxial birefringence with the optical axis parallel to the columns' direction.…”
Section: Introductionmentioning
confidence: 99%