Interface shape change and shift kinetics on the nanoscale

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

1 Citation (Scopus)

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 [I]. 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 ∝) on the nano/atomic scale. [3, 4] Furthermore, the continuum descriptions foretell infinitely fast kinetics as the time goes to zero (v=dx/dt∝l/t2), 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 publicationMultiscale Kinetic Modelling of Materials - Proceedings of the Symposium "Multiscale Kinetic Modelling of Materials" organised within the EMRS Fall Meeting 2006
PublisherTrans Tech Publications Ltd
Pages105-110
Number of pages6
ISBN (Print)9783908451396
DOIs
Publication statusPublished - Jan 1 2007
EventSymposium "Multiscale Kinetic Modelling of Materials", EMRS Fall Meeting 2006 - Warsaw, Poland
Duration: Sep 4 2006Sep 8 2006

Publication series

NameSolid State Phenomena
Volume129
ISSN (Print)1012-0394

Other

OtherSymposium "Multiscale Kinetic Modelling of Materials", EMRS Fall Meeting 2006
CountryPoland
CityWarsaw
Period9/4/069/8/06

Keywords

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

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Interface shape change and shift kinetics on the nanoscale'. Together they form a unique fingerprint.

  • Cite this

    Erdélyi, Z., Beke, D. L., Langer, G. A., & Csik, A. (2007). Interface shape change and shift kinetics on the nanoscale. In Multiscale Kinetic Modelling of Materials - Proceedings of the Symposium "Multiscale Kinetic Modelling of Materials" organised within the EMRS Fall Meeting 2006 (pp. 105-110). (Solid State Phenomena; Vol. 129). Trans Tech Publications Ltd. https://doi.org/10.4028/3-908451-39-6.105