一次相転移のカイネティクス

防衛大学校材料物性工学教室 阿部 洋
筑波大学物理工学系 大嶋建一

日本結晶学会誌 38, pp151-159(1996).


Kinetics of the First-Order Phase Transition.

H.Abe and K.Ohshima1
Department of Materials Science and Engineering, National Defense Academy, Yokosuka 239, Japan
1Institute of Applied Physics, University of Tsukuba, Tsukuba 305, Japan

J.Cryst.Soc.Jpn, Vol.38, pp151-159(1995).


 A characteristic waiting time appears at fixed temperature above Tc or Ms for elements, alloys and polymers, where Tc is the usual first-order phase transition temperature and Ms is the normal martenstic phase transition temperature. This waiting time is called incubation time and related with the nucleation probability derived from a nucleation barrier. That is why nucleation process is regarded as thermal activated process at the non-equilibrium state. In particular, such a long incubation time of In-Tl alloys has a good agreement with experimental results by using Roitburd method. Furthermore, detail and acurate experiments enable us to be aware that two dimensional growth occurs above Tp, where peculiar temperature, Tp, control the time development of diffraction patterns and appears above Ms in this system.  In contras to phonon soft model, incubation time is essential property of the first-order phase transition and the key to resolve nucleation and growth process.

図.11
Roitburd による二次元の多層ドメイン・マルテンサイト.47) それぞれ、バリアント1からなるドメイン1とバリアント2からなるドメイン2が周期的に並んでいる。

References

1) A. N. Kolmogorov: Bull. Acad. Sci. U.S.S.R., Phys. Ser.3, 555(1937).

2) W. A. Johnson and R. F. Mehl: Trans. AIME 135, 416(1939).

3) M. Avrami: J. Chem. Phys.9, 177(1941).

4) J. W. Cahn: Acta Metall.4, 449(1956).

5) J. W. Cahn and J. E. Hilliard: J. Chem. Phys.31, 688(1959).

6) H. Furukawa: Adv. Phys.34, 703(1985).

7) 川崎恭治: 日本物理学会誌38, 919(1983).

8) 好村滋洋: 固体物理19, 711(1984).

9) 山田安定: 固体物理20, 151(1985).

10) 太田隆夫: 物理学最前線10 "界面の不安定性とパターン形成", 共立出版(1985).

11) 宮崎 亨、小山敏幸: 日本金属学会会報34, 434(1995).

12) T. Suzuki: Metall. Trans. A, 12A, 709(1981).

13) R. B. Griffiths: Phys. Rev. Lett.14, 623(1965).

14) K. G. Wilson: Phys. Rev. B4, 3174(1971). 1

5) 高安秀樹:”フラクタル科学”,朝倉書店(1987).

16) H.ハーケン著、牧島邦夫、小森尚志訳:”共同現象の数理”, 東海大学出版会(1980).

17) Y. Yamada: Ferroelectrics 35, 51(1981).

18) S. Komori, S. Hayase and H. Terauchi: J. Phys. Condens. Matter 1, 3789(1989).

19) Y. Noda, S. Nishihara and Y. Yamada: J. Phys. Soc. Jpn.53, 4241(1984).

20) R. F. Shannon Jr, S. E. Nagler, C. R. Harkless and R. M. Nicklow : Phys. Rev. B46, 40(1992).

21) N. Hamaya, Y. Yamada, J. D. Axe, D. P. Belanger and S. M.S hapiro: Phys. Rev. B33, 7770(1986).

22) J. D. Axe and Y. Yamada: Phys. Rev. B34, 1599(1986).

23) 森井幸生、片野進: 日本結晶学会誌36, 107(1994).

24) 古坂道弘、藤川辰一郎: 日本結晶学会誌36, 113(1994).

25) H. Iwasaki, Y. Matsuo, K. Ohshima and S. Hashimoto: J. Appl. Cryst.23, 509(1990).

26) 掛下知行、山岸昭雄、遠藤将一: 日本金属学会会報32, 591 (1993).

27) T. Kakeshita, K. Kuroiwa, K. Shimizu, T. Ikeda, A. Yamagishi and M. Date: Mater. Trans. JIM 34, 415(1993).

28) T. Kakeshita, T. Saburi and K. Shimizu: ICOMAT-'95, (1995) in press.

29) T. Kakeshita, K. Shiba, T. Fukuda, T. Saburi and S. Endo: Mater.Trans.JIM, to be published.

30) T. Kakeshita, T. Fukuda and T. Saburi: Scripta Metall.34, 147(1996).

31) T. Kakeshita, T. Takeguchi, T. Fukuda and T. Saburi: Mater. Trans.JIM 37, (1996) in press.

32) T. Kakeshita, K. Kuroiwa, K. Shimizu, T. Ikeda, A. Yamagishi and M. Date: Mater. Trans. JIM 34, 423(1993).

33) K. Oguchi, K. Tajima and Y. Shinoda: J. Phys. Soc. Jpn.60, 2371(1991).

34) K. Tajima, Y. Shinoda and M. Tadakuma: J. Magn. Magn. Mater. 140-144, 765(1992).

35) M. Tadakuma, K. Tajima and G. Masada: J. Phys. Soc. Jpn.64, 2074(1995).

36) M. Imai, K. Mori, T. Mizukami, K. Kaji and T. Kanaya: Polymer 33, 4457(1992).

37) M. Imai: K. Kaji and T. Kanaya: Phys. Rev. Lett.71, 4162(1993).

38) 今井正幸、梶 慶輔: 表面32, 436(1994).

39) R. Berliner, O. Fajen, H. G. Smith and R. L. Hitterman: Phys. Rev. B40, 12086(1989).

40) G. Ernst, C. Artner, O. Blaschko and G. Krexner: Phys. Rev. B33, 6465(1986).

41) O. Blaschko and G. Krexner: Phys. Rev. B30, 1667(1984).

42) H. G. Smith: Phys. Rev. Lett.58, 1228(1987).

43) H. Abe, K. Ohshima, T. Suzuki, S. Hoshino and K. Kakurai: Phys. Rev. B49, 3739(1994).

44) P. H. Dederichs: J. Phys. F3, 471(1973).

45) T. R. Finlayson and H. G. Smith: Metall. Trans. A,19A, 193 (1988).

46) H. Abe, M. Ishibashi, K. Ohshima, T. Suzuki, M. Wuttig and K. Kakurai: Phys. Rev. B50, 9020(1994).

47) A. L. Roitburd: Mater. Sci. Eng. A127, 229(1990).

48) H. Abe, K. Ohshima and T. Suzuki: Mater. Trans. JIM 36, 1200(1995).


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Department of Materials Science and Engineering
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