Critical phenomena in amorphous materials

Ren Jing-Li; Yu Li-Ping; Zhang Li-Ying

doi:10.7498/aps.66.176401

Abstract

Amorphous material usually exhibit a complex atomic structure including short-range order, long-range disorder and metastable state in thermodynamic, which is one of the existing states of matters. Amorphous alloy, also named metallic glass, is a new metallic material, and has a high strength, a good electromagnetic property, an excellent corrosionresistant and a high elasticity. The system of amorphous alloy can show some critical states and is a complicated system. In recent years, much atttentions have been paid to the researches of the phase transitions and critical phenomena of amorphous material. On a microscale, amorphous alloy can be regarded as a solid composed of many-particle systems. The investigation of the critical phenomena can significantly enhance the understanding of the interactions among these multi-particle systems. The structure of amorphous alloy is randomly and isotropic in macro performance, and ordered and anisotropic on a localized nanometer scale. The characteristics on different scales of amorphous alloy are not isolated. The structure of amorphous alloy determines the performance. The preparation process determines the nature of the microstructure. The microstructure is the internal cause dominating glass transition and deformation. Moreover, the effective cooling rate in preparation process of amorphous alloy affects the short-range rate of the amorphous phase. The nonperiodic short-range order plays a key role in the stability of amorphous phase. Furthermore, the glass transition and deformation of amorphous alloys are the responses to the external energy. The characteristics of the deformation process change with external condition. The external force can lead to the localized shear deformation and transformation between amorphous and liquid in the shear band. High temperature can cause a wide range of transformation from the amorphous solid to the liquid. So it is worth understanding in depth the basic principles of liquid and glass transition in order to prepare amorphous alloy in undercooled liquids. In this review article, we discuss the critical phenomena of amorphous alloys, which include the preparation process, the microstructure, the mechanical property and the electromagnetism. The correlation and the influence of microstructure on the macroscopic properties are analyzed. It will be helpful for understanding the nature of amorphous alloy, improving service reliability and exploring amorphous alloys with application values.

Keywords:

Authors and contacts

1.
School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Corresponding author: Ren Jing-Li, renjl@zzu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11271339), the Plan for Scientific Innovation Talent of Henan Province, China (Grant No. 164200510011), the Innovative Research Team of Science and Technology in Henan Province, China (Grant No. 17IRTSTHN007), the Opening Fund of State Key Laboratory of Nonlinear Mechanics, China (Grant No. LNM201710), and the National Key Research and Development Program of China (Grant No. 2017YFB0702500).

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[58]	Leamy H J, Wang T T, Chen H S 1972 Metall. Mater. Trans. B 3 699
[59]	Ott E 1993 Chaos in Dynamical Systems (Cambridge: Cambridge University Press) p71
[60]	Kauffman S A 1992 Origins of Order in Evolution: Self-organization and Selection (Berlin: Springer-Verlag) pp153-181
[61]	Bak P, Tang C, Wiesenfeld K 1988 Phys. Rev. A 38 364
[62]	Karatzas I, Shreve S E 1991 Brownian Motion and Stochastic Calculus (Berlin: Springer-Verlag) p132
[63]	Pentland A P 1984 IEEE Trans. Pattern Anal. 6 661
[64]	Lopes R, Betrouni N 2009 Med. Image Anal. 13 634
[65]	Sarmah R, Ananthakrishna G, Sun B A, Wang W H 2011 Acta Mater. 59 4482
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[68]	Christensen K, Moloney N R 2005 Complexity and Criticality (London: Imperial College Press) pp15-22
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[75]	Ren J L, Chen C, Liu Z Y, Li R, Wang G 2012 Phys. Rev. B 86 134303
[76]	Chen C, Ren J L, Wang G, Dahmen K A, Liaw P K 2015 Phys. Rev. E 92 012113
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[91]	Yeshurun Y, Salamon M B, Rao K V, Chen H S 1981 Phys. Rev. B 24 1536
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Cited By

[1]	Wang W H 2013 Acta Phys. Sin. 33 177 (in Chinese) [汪卫华 2013 物理学进展 33 177]
[2]	Yang W M, Liu H S, Zhao Y C, Inoue A, Jiang K M, Huo J T, Ling H B, Li Q, Shen B L 2014 Sci. Rep. 4 6233
[3]	Yu L, Hao B L 1984 Introduction to Phase Transitions and Critical Phenomena (Beijing: Science Press) p2 (in Chinese) [于渌, 郝柏林 1984 相变和临界现象 (北京: 科学出版社) 第 2 页]
[4]	Duwez P, Willens R H, Klement Jr W 1960 J. Appl. Phys. 31 1136
[5]	Chen H S, Turnbull D 1969 Acta Metall. 17 1021
[6]	Inoue A, Zhang T, Masumoto T 1989 Mater. Trans. JIM 30 965
[7]	Zhang T, Inoue A, Masumoto T 1991 Mater. Trans. JIM 32 1005
[8]	Löffler J F 2003 Intermetallics 11 529
[9]	Shi Y, Falk M L 2006 Scripta Mater. 54 381
[10]	Turnbull D 1969 Contemp. Phys. 10 473
[11]	Zhang Y 2010 Metallic Glasses and High-Entropy Alloys (Beijing: Science Press) p14 (in Chinese) [张勇 2010 非晶和高熵合金 (北京: 科学出版社) 第 14 页]
[12]	Uhlmann D R 1972 J. Non-Cryst. Solids 7 337
[13]	Onorato P I K, Uhlmann D R 1976 J. Non-Cryst. Solids 22 367
[14]	Zheng Z B 1979 Acta Metall. Sin. 1 160 (in Chinese) [郑兆勃 1979 金属学报 1 160]
[15]	Torquato S 2000 Nature 405 521
[16]	Dai D S, Han R Q 1988 Amorphous Physics (Beijing: Publishing House of Electronics Industry) p672 (in Chinese) [戴道生, 韩汝琪 1988 非晶态物理学 (北京: 电子工业出版社) 第 672 页]
[17]	Hui X D, Chen G L 2007 Bulk Mmetallic Glasses (Beijing: Chemical Industry Press) p50 (in Chinese) [惠希东, 陈国良 2007 块体非晶合金 (北京: 化学工业出版社) 第 50 页]
[18]	Cao C R, Lu Y M, Bai H Y, Wang W H 2015 Appl. Phys. Lett. 107 141606
[19]	Hirata A, Guan P, Fujita T, Hirotsu Y, Inoue A, Yavari A R, Sakurai T, Chen M 2011 Nat. Mater. 10 28
[20]	Demetriou M D, Harmon J S, Tao M, Duan G, Samwer K, Johnson W L 2006 Phys. Rev. Lett. 97 065502
[21]	Biroli G 2007 Nat. Phys. 3 222
[22]	Wang W H 2012 Prog. Mater. Sci. 57 487
[23]	Liu A J, Nagel S R 1998 Nature 396 21
[24]	Wang W H 2011 J. Appl. Phys. 110 053521
[25]	Wang W H 2012 Nat. Mater. 11 275
[26]	Yu H B, Wang W H, Bai H Y, Wu Y, Chen M W 2010 Phys. Rev. B 81 220201
[27]	Wang Z, Yu H B, Wen P, Bai H Y, Wang W H 2011 J. Phys. Condens. Matter 23 142202
[28]	Yu H B, Wang W H, Bai H Y, Samwer K 2014 Natl. Sci. Rev. 1 429
[29]	Zhu Z G, Li Y Z, Wang Z, Gao X Q, Wen P, Bai H Y, Ngai K L, Wang W H 2014 J. Chem. Phys. 141 084506
[30]	Huang B, Zhu Z G, Ge T P, Bai H Y, Sun B A, Yang Y, Liu C T, Wang W H 2016 Acta Mater. 110 73
[31]	Wang Q, Zhang S T, Yang Y, Dong Y D, Liu C T, Lu J 2015 Nat. Commun. 6 7876
[32]	Kchemann S, Maaß R 2017 Scripta Mater. 137 5
[33]	Wang W H 2006 J Appl. Phys. 99 093506
[34]	Wang W H 2005 J. Non-Cryst. Solids 351 1481
[35]	Yang B, Liu C T, Nieh T G 2006 Appl. Phys. Lett. 88 221911
[36]	He D R, Liu Z H, Wang B H 2009 Complex Systems and Complex Networks (Beijing: Higher Education Press) pp126-145 (in Chinese) [何大韧, 刘宗华, 汪秉宏 2009 复杂系统与复杂网络 (北京: 高等教育出版社) 第 126-145 页]
[37]	Park K W, Lee C M, Kim H J, Lee J H, Lee J C 2009 Mater. Sci. Eng. A 499 529
[38]	Miracle D B 2004 Nat. Mater. 3 3697
[39]	Sheng H W, Luo W K, Alamgir F M, Bai J M, Ma E 2006 Nature 439 419
[40]	Ma D, Stoica A D, Wang X L 2009 Nat. Mater. 8 30
[41]	Chen D Z, Shi C Y, An Q, Zeng Q, Mao W L, Greer J R 2015 Science 349 1306
[42]	Cheng Y Q, Ma E 2011 Prog. Mater Sci. 56 379
[43]	Akihiko H, Pengfei G, Takeshi F, Yoshihiko H, Akihisa I, Alain Reza Y 2011 Nat. Mater. 10 28
[44]	Treacy M M J, Borisenko K B 2012 Science 335 950
[45]	Zeng Q S, Sheng H W, Ding Y, Wang, L, Yang, W G, Jiang J Z, Mao W L, Mao, H K 2011 Science 332 1404
[46]	Bernal J D 1960 Nature 185 68
[47]	Zeng Q S, Kono Y, Lin Y, Zeng Z D, Wang J Y, Sinogeikin S V, Park C, Meng Y, Yang W, Mao H K, Mao W L 2014 Phys. Rev. Lett. 112 185502
[48]	Srivastava A P, Das N, Sharma S K, Sinha A K, Srivastava D, Pujari P K, Dey G K 2016 J. Phys. D: Appl. Phys. 49 225303
[49]	Bunde A, Havlin S 1991 Fractals and Disordered Systems (New York: Springer-Verlag) pp132-145
[50]	Scher H, Zallen R 1970 J. Chem. Phys. 53 3759
[51]	Ren J L, Zhang L Y, Siegmund S 2016 Sci. Rep. 6 22420
[52]	Ren J L, Zhang L Y 2017 J. Stat. Phys. 168 394
[53]	Spaepen F 1977 Acta Metall. 25 407
[54]	Argon A S 1979 Acta Metall. 27 47
[55]	Cohen M H, Grest G S 1979 Phys. Rev. B 20 1077
[56]	Schuh C A, Hufnag T C, Ramamurty U 2007 Acta Mater. 55 4067
[57]	Ngai K L 2011 Relaxation and Difusion in Complex Systems (New York: Springer-Verlag) pp154-168
[58]	Leamy H J, Wang T T, Chen H S 1972 Metall. Mater. Trans. B 3 699
[59]	Ott E 1993 Chaos in Dynamical Systems (Cambridge: Cambridge University Press) p71
[60]	Kauffman S A 1992 Origins of Order in Evolution: Self-organization and Selection (Berlin: Springer-Verlag) pp153-181
[61]	Bak P, Tang C, Wiesenfeld K 1988 Phys. Rev. A 38 364
[62]	Karatzas I, Shreve S E 1991 Brownian Motion and Stochastic Calculus (Berlin: Springer-Verlag) p132
[63]	Pentland A P 1984 IEEE Trans. Pattern Anal. 6 661
[64]	Lopes R, Betrouni N 2009 Med. Image Anal. 13 634
[65]	Sarmah R, Ananthakrishna G, Sun B A, Wang W H 2011 Acta Mater. 59 4482
[66]	Hu H B, Wang L 2005 Physics 34 889 (in Chinese) [胡海波, 王林 2005 物理 34 889]
[67]	Sammonds P 2005 Nat. Mater. 4 425
[68]	Christensen K, Moloney N R 2005 Complexity and Criticality (London: Imperial College Press) pp15-22
[69]	Bak P, Tang C 1989 J. Geophys. Res. 94 15635
[70]	Mandelbrot B B, Wheeler J A 1983 Am. J. Phys. 51 286
[71]	Sun B A, Yu H B, Jiao W, Bai H Y, Zhao D Q, Wang W H 2010 Phys. Rev. Lett. 105 035501
[72]	Sun B A, Pauly S, Tan J, Stoica M, Wang W H, Khn U, Eckert J 2012 Acta Mater. 60 4160
[73]	Wang G, Chan K C, Xia L, Yu P, Shen J, Wang W H 2009 Acta Mater. 57 6146
[74]	Ren J L, Chen C, Wang G, Mattern N, Eckert J 2011 AIP Adv. 1 032158
[75]	Ren J L, Chen C, Liu Z Y, Li R, Wang G 2012 Phys. Rev. B 86 134303
[76]	Chen C, Ren J L, Wang G, Dahmen K A, Liaw P K 2015 Phys. Rev. E 92 012113
[77]	Ren J L, Chen C, Wang G, Liaw P K 2017 Sci. Rep. 7 45083
[78]	Burridge R, Knopoff L 1967 Bull. Seismol. Soc. Am. 57 341
[79]	Ren J L, Chen C, Wang G, Cheung W S, Sun B A, Mattern N 2014 J. Appl. Phys. 116 033520
[80]	Gubanov A I 1960 Sov. Phys. Solid State 2 468
[81]	Shen B G, Zhao J G, Zhan W S, Chen J C 1986 Acta Phys. Sin. 35 124 (in Chinese) [沈保根, 赵见高, 詹文山, 陈金昌 1986 35 124]
[82]	Le Guillon J C, Zinn-Justin J 1977 Phys. Rev. Lett. 39 95
[83]	Fisher M E 1974 Rev. Mod. Phys. 46 597
[84]	Kollvel J S, Comly J B 1968 Phys. Rev. Lett. 20 1237
[85]	Collins M F, Minkiewicz V J, Nathans R, Passell L, Shirane G 1969 Phys. Rev. 179 417
[86]	Kaul S N 1981 Phys. Rev. B 24 6550
[87]	Kaul S N 1981 Phys. Rev. B 23 1205
[88]	Malmhäll R, Bäckström G, Rao K V, Bhagat S M, Meichale M, Salamon M B 1978 J. Appl. Phys. 49 1727
[89]	Beckman D, Gramm K, Lundgren L, Rao K V, Chen H S 1981 Solid State Commun. 39 777
[90]	Winschun K, Rosenberg M 1987 J. Appl. Phys. 61 4401
[91]	Yeshurun Y, Salamon M B, Rao K V, Chen H S 1981 Phys. Rev. B 24 1536
[92]	Arrott A 1957 Phys. Rev. 108 1394
[93]	Yeung I, Roshko R, Williams G 1986 Phys. Rev. B 34 3456
[94]	Aharony A, Pytte E 1983 Phys. Rev. B 27 5872

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Vol. 66, Issue 17 - 2017-09-05

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