2006
DOI: 10.1103/physrevlett.97.155703
|View full text |Cite
|
Sign up to set email alerts
|

Ostwald Ripening in Rarefied Systems

Abstract: Mass exchange between spherical molecular clusters is analyzed in the case when the mean free path of molecules in the intercluster space is much larger than the cluster sizes but much smaller than average intercluster separation. It is shown that there is a steady-state regime when big clusters grow at the expense of the smaller ones (Ostwald ripening), which is characterized by a one-parametric family of self-similar cluster size distribution functions and by an exponentially growing average cluster size. Th… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3

Citation Types

0
20
0

Year Published

2011
2011
2018
2018

Publication Types

Select...
7

Relationship

0
7

Authors

Journals

citations
Cited by 21 publications
(20 citation statements)
references
References 25 publications
0
20
0
Order By: Relevance
“…It happens because small metastable clusters dissolve and created ions are catalytically reduced on other cluster surface. On the other hand, fast reduction results in fast nucleation, and there is no time for Ostwald ripening [51][52][53][54] as it can be observed in case of sodium borohydride [55] or dimethylamino borane [56]. In our case, with increasing initial reductant concentration, the shape of obtained particles is becoming different from spherical.…”
Section: Resultsmentioning
confidence: 55%
“…It happens because small metastable clusters dissolve and created ions are catalytically reduced on other cluster surface. On the other hand, fast reduction results in fast nucleation, and there is no time for Ostwald ripening [51][52][53][54] as it can be observed in case of sodium borohydride [55] or dimethylamino borane [56]. In our case, with increasing initial reductant concentration, the shape of obtained particles is becoming different from spherical.…”
Section: Resultsmentioning
confidence: 55%
“…The linear growth is attributed to the preferential adsorption of acetate anions to special crystal facets, which directs the growth of the nanoparticles into nanorods by controlling the growth rates along different crystal axes [22,23]. The smaller nanoparticles vanish at the site of the nanorods through an "Ostwald ripening" process [24][25][26] resulting in the final formation of Cd 2 Ge 2 O 6 nanowires with the increase of the reaction time.…”
Section: Resultsmentioning
confidence: 99%
“…, and θ = 0, 1 corresponding to interface-and diffusion-limited growth, respectively. (The case θ = −1 with linear growth is special [25] and will not be discussed here.) Furthermore, let us redefine the "time" to have the growth law as…”
mentioning
confidence: 99%