Glassy behavior in martensites: Interplay between elastic anisotropy and disorder in zero-field-cooling/field-cooling simulation experiments

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 5, 2009, Pages

  Lloveras, Pol ^a,b   Castán, Teresa ^a,b   Porta, Marcel ^a,b,c   Planes, Antoni ^a,b   Saxena, Avadh ^b,c  

^a UNIVERSITY OF BARCELONA   (Spain)

^b UNIVERSITY OF BARCELONA   (Spain)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70249103793     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.054107     Document Type: Article

References (24)

1. Z. Nishyiama, Martensitic Transformations (Academic, London, 1978).
2. S. Muto, R. Oshima, and F. Fujita, Acta Metall. Mater. 38, 685 (1990). 10.1016/0956-7151(90)90224-5
3. E. K. H. Salje, Phase Transitions in Ferroelastic and Co-elastic Crystals (Cambridge University Press, Cambridge, 1990).
4. L. E. Tanner, A. R. Pelton, and R. Gronski, J. Phys. (Paris) 43, 169 (1982).
5. K. Otsuka and X. Ren, Prog. Mater. Sci. 50, 511 (2005). 10.1016/j.pmatsci.2004.10.001
6. Y. Murakami, H. Shibuya, and D. Shindo, J. Microsc. 203, 22 (2001). 10.1046/j.1365-2818.2001.00913.x
7. P. Lloveras, T. Castán, M. Porta, A. Planes, and A. Saxena, Phys. Rev. Lett. 100, 165707 (2008). 10.1103/PhysRevLett.100.165707
8. Values near the transformation temperature.
9. R. Oshima, M. Sugiyama, and F. E. Fujita, Metall. Trans. A 19, 803 (1988). 10.1007/BF02628361
10. S. Sarkar, X. Ren, and K. Otsuka, Phys. Rev. Lett. 95, 205702 (2005). 10.1103/PhysRevLett.95.205702
11. Y. Wang, X. Ren, K. Otsuka, and A. Saxena, Phys. Rev. B 76, 132201 (2007). 10.1103/PhysRevB.76.132201
12. Note that we are using the same notation as used in magnetism in order to emphasize the analogy between both problems. The characterization of the magnetic ZFC/FC experiments has been, for instance, studied in detail in S. Nagata, P. H. Keesom, and H. R. Harrison, Phys. Rev. B 19, 1633 (1979). 10.1103/PhysRevB.19.1633
13. V. Cannella and J. A. Mydosh, Phys. Rev. B 6, 4220 (1972). 10.1103/PhysRevB.6.4220
14. B. Martínez and X. Obradors, Ll. Balcells, A. Rouanet, and C. Monty, Phys. Rev. Lett. 80, 181 (1998). 10.1103/PhysRevLett.80.181
15. D. Viehland, J. F. Li, S. J. Jang, L. E. Cross, and M. Wuttig, Phys. Rev. B 46, 8013 (1992). 10.1103/PhysRevB.46.8013
16. A. M. Bratkovsky, S. C. Marais, V. Heine, and E. K. H. Salje, J. Phys.: Condens. Matter 6, 3679 (1994). 10.1088/0953-8984/6/20/008
17. S. Kartha, J. A. Krumhansl, J. P. Sethna, and L. K. Wickham, Phys. Rev. B 52, 803 (1995). 10.1103/PhysRevB.52.803
18. S. R. Shenoy, T. Lookman, A. Saxena, and A. R. Bishop, Phys. Rev. B 60, R12537 (1999). 10.1103/PhysRevB.60.R12537
19. Note also that the harmonic coefficients are directly related to second-order elastic constants: A1 = C11 + C12, A2 = C11 - C12 =2 C′, and A3 =4 C44.
20. We have checked that variations in this value do not affect the relevant results presented here.
21. In fact, ZFC/FC simulations are carried out in a model with periodic boundary conditions. This gives rise to a global minimum consisting of a monovariant state. However, pure relaxational dynamics takes our system to twinned metastable states but with no characteristic length. In real martensites surface effects make the global minimum to consist of an equal-length twinning (i.e., with a characteristic length) in order to minimize the surface and the total energy. This is not expected to modify the relevant results concerning ZFC/FC simulations. However, in order to obtain this characteristic length of twins, some other simulations with no periodic boundary conditions but with austenitic boundary conditions have been carried out.
22. R. Moessner and A. P. Ramirez, Phys. Today 59 (2), 24 (2006).
23. X. Ren (private communication)
24. see also, Y. Wang. X. Ren. K. Otsuka, and A. Saxena, Acta Mater. 56, 2885 (2008). 10.1016/j.actamat.2008.02.032