Random deposition of particles of different sizes

Forgerini, Fabricio L.; Figueiredo, W.

doi:10.1103/physreve.79.041602

Cited by 35 publications

(25 citation statements)

References 22 publications

(27 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…17, the saturation of roughness width in our model is reached faster than that of the model with deposition of the linear particles. It is due to the fact that the height of the particles is between 1 and 3 in our model, but they have unit height in Ref.…”

Section: Porositymentioning

confidence: 55%

“…It is due to the fact that the height of the particles is between 1 and 3 in our model, but they have unit height in Ref. 17. One can also see that the roughness of the surface generated by our model is much larger than that of linear particle with unit height.…”

Section: Porositymentioning

confidence: 68%

“…These particles are aggregated on a flat surface with special deposition rules; as a result, a porous bulk is generated. 16,17 Due to the daily development of nano-electronic technology, demands are increased to fabricate the nano-dimensional devices. Because of their large sizes, deposition of clusters is a better choice than single particles for building the desirable structures.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thin film growth by deposition of randomly shaped clusters

Ebrahiminejad

Masoudi

Dariani

et al. 2012

The Journal of Chemical Physics

View full text Add to dashboard Cite

We have investigated the growth of a porous thin surface film by deposition of randomly shaped clusters with different sizes over an initially flat linear substrate in (1 + 1) dimensions. In analogy with the ballistic deposition process, our approach results in aggregation of clusters with a porous bulk and a rough surface that obeys the Family-Vicsek dynamic scaling. The scaling exponents are calculated and found to agree with the ballistic deposition model. Moreover, the bulk porosity and its dependence on time and cluster size are also investigated. We have also studied the influence of the cluster size on the scaling exponents and the stationary porosity.

show abstract

Section: Porositymentioning

confidence: 55%

Section: Porositymentioning

confidence: 68%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thin film growth by deposition of randomly shaped clusters

Ebrahiminejad

Masoudi

Dariani

et al. 2012

The Journal of Chemical Physics

View full text Add to dashboard Cite

show abstract

“…In some growth models it is possible to observe two (or more) different behaviors of the roughness for the growth regime, before the system reaches the saturation regime 4 , 5 . In these cases, one or more exponents β can be found for t << t x , as can be seen in Figure 1.…”

Section: Theoretical Conceptsmentioning

confidence: 94%

A brief review of mathematical models of thin film growth and surfaces

Forgerini

Marchiori²

2014

Biomatter

View full text Add to dashboard Cite

The morphology of thin films has been extensively studied in the last years. The properties of a thin film are closely related to its microstructure, especially to its morphology and surface roughness. Optical reflectivity, conductivity, and porosity are characteristics that depend on the film structure. The knowledge of atomistic details of the thin film growth process is useful for the development of new techniques and the control of thin films and new materials. Models of growth process are very powerful tools that can help researchers to predict and control physical, chemical, and mechanical properties. In this work we briefly summarize the theoretical models that have been used in the studies of thin films growth. By describing the deposition process of atoms/molecules on the surface of the substrate, one can study the evolution of the bulk and the surface roughness of a thin film. If an experimental growth process is appropriately described by a theoretical model (or even a combination of one or more different models), it can also provide indications to control the surface roughness and porosity of the film. Controlling the growth process one can obtain materials with a set of desired properties, namely tribological, porosity, and electrical ones. These characteristics are necessary for example, for hosting a solid lubricant on the surface of the material. We believe that the models presented in this work can be very useful in understanding the mechanisms of control and adherence of electrodeposited films which are commonly used in medical applications such as stent devices. We also believe that the models can be helpful to the understanding surface problems related to the superficial defects in stents.

show abstract

“…Monte-Carlo method to generate two or three dimensional particle segregation, this work on the principle of minimization of potential energy of the pack [64]. This apart ballistic deposition algorithms can be employed to generate an initial particle packing [65,66].…”

Section: Literature Survey On Pack Configurationmentioning

confidence: 99%

Mechanics of light weight proppants: A discrete approach

Kulkarni¹,

Ochoa²

2012

Composites Science and Technology

View full text Add to dashboard Cite

Proppants are a specific application of granular materials used in oil/gas well stimulation. Employment of hard and soft particle mixtures is one of the many approaches availed by the industry to improve fracture resistance and the stability of the granular pack in the hydraulic fracture. Current industrial practices of proppant characterization involve long term and expensive conductivity tests. However, the mechanics governing the proppant pack response, in particular the effects due to material, shape and size of particles on the pack porosity, stiffness and particle fragmentation are not understood clearly.The present research embodies analytical and experimental approach to model hard (ceramic) and soft (walnut shell and/or pure aluminum) proppant mixtures by taking into account polydispersity in size, shape and material type of individual particles.The hydraulic fracture condition is represented through confined compression and flowback loads. The particle interactions clearly illustrate changes in pore space as a function of pressure, mixture composition and friction. Single particle compression tests on individual particles are carried out to obtain mechanical properties which are incorporated into the finite element models and are further correlated with the compression/crush response of the mixture. The proppant pack stiffness and particle fragmentation depends strongly on the mixture composition as illustrated in the models and experiments. The flowback models demonstrated that the formation of a stable arch is essential to pack stability. Additional variables that enhance flowback resistance are identified as; addition of softer particles to a pack, softer rock surfaces and higher interparticle friction. The computational studies also led to the discovery of better, and more iv efficient pack compositions such as -short and thin pure Al needles/ceramic and the pistachio shells/ceramic mixtures. These analytical results have generated great interest and are engaged in the design of experiments to formulate future proppant pack mixtures at Baker Hughes Pressure Pumping, Tomball, TX. v

show abstract

Random deposition of particles of different sizes

Cited by 35 publications

References 22 publications

Thin film growth by deposition of randomly shaped clusters

Thin film growth by deposition of randomly shaped clusters

A brief review of mathematical models of thin film growth and surfaces

Mechanics of light weight proppants: A discrete approach

Contact Info

Product

Resources

About