CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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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
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Cite this article: |
CHAI Kan, LIN Tie-Song, HE Peng et al 2014 Chin. Phys. Lett. 31 116102 |
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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.
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Published: 28 November 2014
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PACS: |
61.43.Dq
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(Amorphous semiconductors, metals, and alloys)
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63.20.dh
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(Fitted theory)
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64.70.pe
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(Metallic glasses)
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68.35.Fx
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(Diffusion; interface formation)
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68.43.Jk
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(Diffusion of adsorbates, kinetics of coarsening and aggregation)
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[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. JETP 56 2362 |
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