Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Discrete simulation models of surface growth
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2014 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this thesis the time evolution and scaling properties of different discrete models of

surface growth using computer simulation is studied. The models are mainly using random

deposition at a perpendicular angle to the substrates to model the adsorption process, and

both one dimensional and two dimensional surfaces are considered. The Edwards-Wilkinson,

Kardar-Parisi-Zhang and Mullins equations are also studied as analytical methods to describe

the growth of surfaces. The scaling exponents derived from these equations are used as

reference when analysing the exponents calculated from the simulation models studied in this

thesis.

We have found that the simulation models do not correspond perfectly with the analytical

models for surface growth, suggesting possible flaws in our models or definitions. Despite the

possible flaws, the models prove to be powerful tools for analysing the time evolution of surface

growth. Furthermore, we have shown that most of the simulation models exhibit the expected

scaling properties, which indicates that the surfaces do have the self-affine structure they are

presumed to have.

Abstract [sv]

I denna avhandling har tidsutvecklingen och skalningsegenskaperna hos olika diskreta

modeller för yttillväxt studerats med hjälp av datorsimuleringar. De flesta modellerna använder

slumpmässig deposition vinkelrätt mot substraten för att modellera adsorption, och både en och

tvådimensionella modeller har studerats. Edward-Wilkingson-, Kardar-Parisi-Zhang och

Mullinsekvationen har även studerats som analytiska modeller för att beskriva yttillväxt.

Skalningsexponenterna som har erhållits från dessa ekvationer har använts som referenser vid

analysen av exponenterna som har räknats ut från de simuleringsmodeller som har studerats i

denna avhandling.

Vi har kommit fram till att simuleringsmodellerna inte stämmer  överrens perfekt med de

analytiska modellerna, vilket tyder på möjliga brister i våra modeller eller definitioner. Trots de

möjliga bristerna har modellerna visat sig vara kraftfulla verktyg vid analys av tidsutvecklingen

av yttillväxt. Vidare har vi visat att de flesta av simuleringsmodellerna uppvisar de förväntade

skalningsegenskaperna, vilket är ett tecken på att ytorna har den självaffina struktur de antas ha.

Place, publisher, year, edition, pages
2014. , 20 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-146052OAI: oai:DiVA.org:kth-146052DiVA: diva2:722067
Available from: 2014-06-05 Created: 2014-06-05 Last updated: 2014-06-05Bibliographically approved

Open Access in DiVA

Kandidatexamensarbete Martin Björk, Erik Deng(8730 kB)931 downloads
File information
File name FULLTEXT01.pdfFile size 8730 kBChecksum SHA-512
f48fde8c8cdc55be6ca96f91f5736135dcaa9e2a78f48f43a04cfea8c95ee0f13f402ebb60231c5a468bcb19386418f3ada37d08b21ee81092b06cbe4c2c5b24
Type fulltextMimetype application/pdf

By organisation
Theoretical Physics
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
Total: 934 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 200 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf