The Kinetic Theory of Growth of Zr-Sn Diffusion Layers on Zr55Cu30Al10Ni5 Metallic Glass
CHAI Kan1, LIN Tie-Song1, HE Peng1**, SUN Jian-Fei2
1State Key Laboratory of Advanced Welding and Joining, Harbin Institute of Technology, Harbin 150001 2School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001
Abstract：The growth kinetics of the intermetallic compound layer between molten pure Sn and ZrCu30Al10Ni5 bulk metallic glass (BMG) is mainly controlled by the diffusion mechanism at stage I at which the value of the time exponent is approximately 1/2, also there is unusual or unique stage II whose time exponent of the growth is suppressed to 1/3. It is deduced that phase transition such as nucleation, coalescence occurring in the vicinity of the interface of the diffusion layer within the BMG and the average size growing as one-third power of time, called the Lifshitz–Slezov law. A more elegant means of attack is based upon the Fokker–Planck approach, which permits us to calculate directly the probability of the distribution of steady-state thickness fluctuations. Physical implications of the analytical results also give the one-third power of time of distance scale. The transmission of Sn particles through a disorder system of the BMG, scattered by the local fluctuation levels, is the source of the time exponent from 1/2 to 1/3 as a macroscopic cumulative effect.
(Diffusion of adsorbates, kinetics of coarsening and aggregation)
引用本文:
. [J]. 中国物理快报, 2014, 31(11): 116102-116102.
CHAI Kan, LIN Tie-Song, HE Peng, SUN Jian-Fei. The Kinetic Theory of Growth of Zr-Sn Diffusion Layers on Zr55Cu30Al10Ni5 Metallic Glass. Chin. Phys. Lett., 2014, 31(11): 116102-116102.
[1] Inoue A 1995 Mater. Trans. JIM.36 866 [2] Wang W H, Dong C and Shek C H 2004 Mater. Sci. Eng. R.44 45 [3] Nogi K 2010 Scr. Mater.62 945 [4] Li J F, Mannan S H, Clode M P, Whalley D C and Hutt D A 2006 Acta Mater.54 2907 [5] Duan L L, Yu D Q, Han S Q, Ma H T and Wang L 2004 J. Alloys Compd.381 202 [6] Ma G F, Zhang H F, Li H and Hu Z Q 2007 Appl. Phys. Lett.91 181905 [7] Zhang Y C 1986 Phys. Rev. Lett.56 2113 [8] Faupel F, Frank W, Macht M P, Mehrer H, Naundorf V, R R?tzke K, Schober H R, Sharma S K and Teichler H 2003 Rev. Mod. Phys.75 237 [9] Lifshitz E M and Pitaevskii L P 1981 Physical Kinetics (London: Pergamon Press) p 432 [10] Slezov V V 2009 Kinetics First-Order Phase Transition (Weinheim: WILEY-VCH Verlag) p 93 [11] Pathria R K and Beale P D 2011 Statistical Mechanics 3rd edn (Singapore: Elsevier) p 603 [12] Kardar M, Parisi G and Zhang Y C 1986 Phys. Rev. Lett.56 889 [13] Zee A 2010 Quantum Field Theory: A Nutshell 2nd edn (Princeton and Oxford: Princeton University Press) p 347 [14] Halpin-Healy T and Zhang Y C 1995 Phys. Rep.254 215 [15] Bouchaud J P and Orland H 1990 J. Stat. Phys.61 877 [16] Lifshitz I M, Gredeskul S A and Pastur L A 1982 Sov. Phys. JETP56 2362
2014, Vol. 31 
