Linear-parabolic shift of initially sharp interface in AB diffusion couple above the ordering temperature

G. L. Katona, Z. Erdélyi, D. Beke

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It is shown that initially sharp interface in AB diffusion couple, above the ordering temperature, can shift with anomalous kinetics, i.e. deviations from the parabolic growth kinetics are possible. The initial slopes of the shift versus time functions can be even unity for large diffusion asymmetry (the ratio of diffusion coefficients of the parent materials in orders of magnitude) and gradually decrease to 0.5 at larger distances (longer times). This is in accordance with earlier results obtained in phase separating systems. It is shown that from the results of simulations the crossover thickness, X, between the linear and parabolic regimes can also be calculated, and the applicability of the linear-parabolic law is confirmed. Furthermore, it is illustrated that the crossover thickness depends exponentially on the diffusion asymmetry parameter, with the exponent close to the value obtained from analytical estimations.

Original languageEnglish
Pages (from-to)478-486
Number of pages9
JournalPhilosophical Magazine Letters
Volume92
Issue number9
DOIs
Publication statusPublished - Sep 1 2012

Fingerprint

shift
crossovers
asymmetry
time functions
kinetics
temperature
unity
diffusion coefficient
exponents
slopes
deviation
simulation

Keywords

  • anomalous diffusion
  • interdiffusion
  • interface transfer coefficient
  • nanoscale
  • non-linear diffusion
  • ordering systems
  • shift of interface

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Linear-parabolic shift of initially sharp interface in AB diffusion couple above the ordering temperature. / Katona, G. L.; Erdélyi, Z.; Beke, D.

In: Philosophical Magazine Letters, Vol. 92, No. 9, 01.09.2012, p. 478-486.

Research output: Contribution to journalArticle

@article{58c4cdf9d95d443a9de54c66fd0ae5a4,
title = "Linear-parabolic shift of initially sharp interface in AB diffusion couple above the ordering temperature",
abstract = "It is shown that initially sharp interface in AB diffusion couple, above the ordering temperature, can shift with anomalous kinetics, i.e. deviations from the parabolic growth kinetics are possible. The initial slopes of the shift versus time functions can be even unity for large diffusion asymmetry (the ratio of diffusion coefficients of the parent materials in orders of magnitude) and gradually decrease to 0.5 at larger distances (longer times). This is in accordance with earlier results obtained in phase separating systems. It is shown that from the results of simulations the crossover thickness, X, between the linear and parabolic regimes can also be calculated, and the applicability of the linear-parabolic law is confirmed. Furthermore, it is illustrated that the crossover thickness depends exponentially on the diffusion asymmetry parameter, with the exponent close to the value obtained from analytical estimations.",
keywords = "anomalous diffusion, interdiffusion, interface transfer coefficient, nanoscale, non-linear diffusion, ordering systems, shift of interface",
author = "Katona, {G. L.} and Z. Erd{\'e}lyi and D. Beke",
year = "2012",
month = "9",
day = "1",
doi = "10.1080/09500839.2012.687837",
language = "English",
volume = "92",
pages = "478--486",
journal = "Philosophical Magazine Letters",
issn = "0950-0839",
publisher = "Taylor and Francis Ltd.",
number = "9",

}

TY - JOUR

T1 - Linear-parabolic shift of initially sharp interface in AB diffusion couple above the ordering temperature

AU - Katona, G. L.

AU - Erdélyi, Z.

AU - Beke, D.

PY - 2012/9/1

Y1 - 2012/9/1

N2 - It is shown that initially sharp interface in AB diffusion couple, above the ordering temperature, can shift with anomalous kinetics, i.e. deviations from the parabolic growth kinetics are possible. The initial slopes of the shift versus time functions can be even unity for large diffusion asymmetry (the ratio of diffusion coefficients of the parent materials in orders of magnitude) and gradually decrease to 0.5 at larger distances (longer times). This is in accordance with earlier results obtained in phase separating systems. It is shown that from the results of simulations the crossover thickness, X, between the linear and parabolic regimes can also be calculated, and the applicability of the linear-parabolic law is confirmed. Furthermore, it is illustrated that the crossover thickness depends exponentially on the diffusion asymmetry parameter, with the exponent close to the value obtained from analytical estimations.

AB - It is shown that initially sharp interface in AB diffusion couple, above the ordering temperature, can shift with anomalous kinetics, i.e. deviations from the parabolic growth kinetics are possible. The initial slopes of the shift versus time functions can be even unity for large diffusion asymmetry (the ratio of diffusion coefficients of the parent materials in orders of magnitude) and gradually decrease to 0.5 at larger distances (longer times). This is in accordance with earlier results obtained in phase separating systems. It is shown that from the results of simulations the crossover thickness, X, between the linear and parabolic regimes can also be calculated, and the applicability of the linear-parabolic law is confirmed. Furthermore, it is illustrated that the crossover thickness depends exponentially on the diffusion asymmetry parameter, with the exponent close to the value obtained from analytical estimations.

KW - anomalous diffusion

KW - interdiffusion

KW - interface transfer coefficient

KW - nanoscale

KW - non-linear diffusion

KW - ordering systems

KW - shift of interface

UR - http://www.scopus.com/inward/record.url?scp=84864662984&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84864662984&partnerID=8YFLogxK

U2 - 10.1080/09500839.2012.687837

DO - 10.1080/09500839.2012.687837

M3 - Article

AN - SCOPUS:84864662984

VL - 92

SP - 478

EP - 486

JO - Philosophical Magazine Letters

JF - Philosophical Magazine Letters

SN - 0950-0839

IS - 9

ER -