Chin. Phys. Lett.  2014, Vol. 31 Issue (11): 116102    DOI: 10.1088/0256-307X/31/11/116102
CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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
Cite this article:   
CHAI Kan, LIN Tie-Song, HE Peng et al  2014 Chin. Phys. Lett. 31 116102
Download: PDF(625KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
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.
Published: 28 November 2014
PACS:  61.43.Dq (Amorphous semiconductors, metals, and alloys)  
  63.20.dh (Fitted theory)  
  64.70.pe (Metallic glasses)  
  68.35.Fx (Diffusion; interface formation)  
  68.43.Jk (Diffusion of adsorbates, kinetics of coarsening and aggregation)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/31/11/116102       OR      https://cpl.iphy.ac.cn/Y2014/V31/I11/116102
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
CHAI Kan
LIN Tie-Song
HE Peng
SUN Jian-Fei
[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
Related articles from Frontiers Journals
[1] Yan-Fei Ma, Ben-Zhen Tang, Lei Xia, Ding Ding. Outstanding Magneto-Caloric Effect of a Gd$_{60}$Ni$_{37}$Co$_{3}$ Amorphous Alloy[J]. Chin. Phys. Lett., 2016, 33(12): 116102
[2] Dou-Dou Zhang, Xiu-Ru Liu, Zhu He, Shi-Ming Hong. Pressure and Time Dependences of the Supercooled Liquid-to-Liquid Transition in Sulfur[J]. Chin. Phys. Lett., 2016, 33(02): 116102
[3] Cheng Wu, Ding Ding, Lei Xia. Effect of Al Addition on the Glass-Forming Ability and Magnetic Properties of a Gd–Co Binary Amorphous Alloy[J]. Chin. Phys. Lett., 2016, 33(01): 116102
[4] GAO Wei, FENG Shi-Dong, QI Li, ZHANG Shi-Liang, LIU Ri-Ping. Local Five-Fold Symmetry and Diffusion Behavior of Zr64Cu36 Amorphous Alloy Based on Molecular Dynamics[J]. Chin. Phys. Lett., 2015, 32(11): 116102
[5] DING Ding, ZHANG Yi-Qing, XIA Lei. Magneto-Caloric Response of a Gd55Co25Al18Sn2 Bulk Metallic Glass[J]. Chin. Phys. Lett., 2015, 32(10): 116102
[6] WANG Ai-Kun, WANG Shi-Guang, XUE Rong-Jie, LIU Guo-Cai, ZHAO Kun. Correlation between Atomic Size Ratio and Poisson's Ratio in Metallic Glasses[J]. Chin. Phys. Lett., 2014, 31(06): 116102
[7] SHUI Lu-Yu, YAN Biao. Crystallization Kinetics Study on Magnetron-Sputtered Amorphous TiAl Alloy Thin Films[J]. Chin. Phys. Lett., 2014, 31(04): 116102
[8] SUN Qiang. A Local Statistical Structural Model for Amorphous Solids[J]. Chin. Phys. Lett., 2013, 30(12): 116102
[9] DING Ding, WANG Peng, GUAN Quan, TANG Mei-Bo, XIA Lei. Excellent Glass Forming Ability and Refrigeration Capacity of a Gd55Al20Ni12Co10Mn3 Bulk Metallic Glass[J]. Chin. Phys. Lett., 2013, 30(9): 116102
[10] WANG Peng, CHAN Kang-Cheung, LU Shuang, TANG Mei-Bo, XIA Lei. Effect of Minor Co Substitution for Ni on the Glass Forming Ability and Magnetic Properties of Gd55Al20Ni25 Bulk Metallic Glass[J]. Chin. Phys. Lett., 2012, 29(9): 116102
[11] SHAO Qing-Yi, CHEN A-Qing, ZHU Kai-Gui, and ZHANG Juan. Numerical Simulation of a P+ a-SiC:H/N+ Poly-Si Solar Cell with High Efficiency and Fill Factor[J]. Chin. Phys. Lett., 2012, 29(8): 116102
[12] WAN Qi-Jian, FENG Jie, GUO Gang. Crystallization Characteristics of SiNx-Doped SbTe Films for Phase Change Memory[J]. Chin. Phys. Lett., 2012, 29(3): 116102
[13] WANG Li-Na, HU Li-Zhong, ZHANG He-Qiu, **, QIU Yu, LANG Ye, LIU Guo-Qiang, QU Guang-Wei, JI Jiu-Yu, MA Jin-Xue,. Effect of Substrate Temperature on the Structural and Raman Properties of Ag-Doped ZnO Films[J]. Chin. Phys. Lett., 2012, 29(1): 116102
[14] LI Yang, QIU Sheng-Bao, SHAO Yang, YAO Ke-Fu** . Effects of the Cooling Rate on the Plasticity of Pd40.5Ni40.5P19 Bulk Metallic Glasses[J]. Chin. Phys. Lett., 2011, 28(11): 116102
[15] SUN Bao-Ru, ZHAN Zai-Ji**, LIANG Bo, ZHANG Rui-Jun, WANG Wen-Kui . Light Emission and Dynamic Failure Mechanism of Hypervelocity Impact on Zr-Ti-Ni-Cu-Be Bulk Metallic Glass[J]. Chin. Phys. Lett., 2011, 28(9): 116102
Viewed
Full text


Abstract