Interface shape change and shift kinetics on the nanoscale

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In nanostructured materials, where the density of grain- and interphase-boundaries is high, the diffusion and kinetics of surface segregation, i.e. the effective material flow is always influenced by the contributions of these boundaries [1]. Diffusion on the nano/atomic scales in multilayers, thin films has many challenging features even if the role of structural defects can be neglected and ‘only’ the effects related to the nano/atomic scale arise. Different examples for diffusional nanoscale effects discovered recently by the authors will be given in this paper. We show that the continuum descriptions of diffusion cannot be applied automatically on such short distances, the classical continuum approximations (Fick's laws) cannot describe correctly the atomic movements. [2-4] They predict faster kinetics than the atomistic models and the interface shift is always proportional to the square-root of time (x ∞t1/2 ⇒x2 ∞ t: parabolic or Fickian kinetics). As we will show, however, the kinetics can be even linear (x ∞t) on the nano/atomic scale. [3, 4] Furthermore, the continuum descriptions foretell infinitely fast kinetics as the time goes to zero (v=dx/dt∞1/t1/2), which is a long standing paradox of diffusion theory. We will show a possible resolution of this paradox. [5] Moreover, we will show that an initially diffused interface can sharpen even in completely miscible systems. [6, 7].

Original languageEnglish
Title of host publicationSolid State Phenomena
PublisherTrans Tech Publications Ltd
Pages105-110
Number of pages6
Volume129
ISBN (Print)9783908451396
DOIs
Publication statusPublished - 2007
EventSymposium on Multiscale Kinetic Modelling of Materials, 2006 - Warsaw, Poland
Duration: Sep 4 2006Sep 8 2006

Publication series

NameSolid State Phenomena
Volume129
ISSN (Electronic)16629779

Other

OtherSymposium on Multiscale Kinetic Modelling of Materials, 2006
CountryPoland
CityWarsaw
Period9/4/069/8/06

Fingerprint

Kinetics
shift
kinetics
paradoxes
continuums
Fick's laws
Surface segregation
diffusion theory
Nanostructured materials
Multilayers
Thin films
Defects
defects
thin films
approximation

Keywords

  • Interface motion
  • Interface sharpening
  • Non-fickian kinetics
  • Theory and experiments

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics

Cite this

Erdélyi, Z., Beke, D., Langer, G., & Csík, A. (2007). Interface shape change and shift kinetics on the nanoscale. In Solid State Phenomena (Vol. 129, pp. 105-110). (Solid State Phenomena; Vol. 129). Trans Tech Publications Ltd. https://doi.org/10.4028/www.scientific.net/SSP.129.105

Interface shape change and shift kinetics on the nanoscale. / Erdélyi, Z.; Beke, D.; Langer, G.; Csík, A.

Solid State Phenomena. Vol. 129 Trans Tech Publications Ltd, 2007. p. 105-110 (Solid State Phenomena; Vol. 129).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Erdélyi, Z, Beke, D, Langer, G & Csík, A 2007, Interface shape change and shift kinetics on the nanoscale. in Solid State Phenomena. vol. 129, Solid State Phenomena, vol. 129, Trans Tech Publications Ltd, pp. 105-110, Symposium on Multiscale Kinetic Modelling of Materials, 2006, Warsaw, Poland, 9/4/06. https://doi.org/10.4028/www.scientific.net/SSP.129.105
Erdélyi Z, Beke D, Langer G, Csík A. Interface shape change and shift kinetics on the nanoscale. In Solid State Phenomena. Vol. 129. Trans Tech Publications Ltd. 2007. p. 105-110. (Solid State Phenomena). https://doi.org/10.4028/www.scientific.net/SSP.129.105
Erdélyi, Z. ; Beke, D. ; Langer, G. ; Csík, A. / Interface shape change and shift kinetics on the nanoscale. Solid State Phenomena. Vol. 129 Trans Tech Publications Ltd, 2007. pp. 105-110 (Solid State Phenomena).
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