Statistics of dislocation slip avalanches in nanosized single crystals show tuned critical behavior predicted by a simple mean field model

Physical Review Letters

Volumn 109, Issue 9, 2012, Pages

  Friedman, Nir ^a   Jennings, Andrew T ^b   Tsekenis, Georgios ^a   Kim, Ju Young ^c   Tao, Molei ^d   Uhl, Jonathan T ^e   Greer, Julia R ^b   Dahmen, Karin A ^a  

^a University of Illinois at Urbana Champaign   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c Ulsan National Institute of Science and Technology   (South Korea)

^d California Institute of Technology   (United States)

^e NONE

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL BEHAVIOR; CRYSTAL SIZE; DEFORMATION RATES; DISLOCATION SLIP; MEAN FIELD MODELS; METALLIC NANOCRYSTALS; NANO-SIZED; POWER LAW EXPONENT; POWER-LAW; SCALING FUNCTIONS; STRESS-DEPENDENT;

PLASTICITY; SIZE DISTRIBUTION;

MEAN FIELD THEORY;

EID: 84865591112     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.095507     Document Type: Article

References (32)

1. M. Zaiser, Adv. Phys. 55, 185 (2006). ADPHAH 0001-8732 10.1080/00018730600583514
2. K.A. Dahmen, Y. Ben-Zion, and J.T. Uhl, Phys. Rev. Lett. 102, 175501 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.175501
3. M.-C. Miguel, A. Vespignani, S. Zapperi, J. Weiss, and J.R. Grasso, Nature (London) 410, 667 (2001). NATUAS 0028-0836 10.1038/35070524 (Pubitemid 32290348)
4. J. Weiss, J.R. Grasso, M.-C. Miguel, A. Vespignani, and S. Zapperi, Mater. Sci. Eng. A 309-310, 360 (2001). MSAPE3 0921-5093 10.1016/S0921-5093(00) 01633-6 (Pubitemid 32541025)
5. T. Richeton, P. Dobron, F. Chmelik, J. Weiss, and F. Louchet, Mater. Sci. Eng. A 424, 190 (2006). MSAPE3 0921-5093 10.1016/j.msea.2006.03.072 (Pubitemid 44225977)
6. T. Richeton, J. Weiss, and F. Louchet, Acta Mater. 53, 4463 (2005). ACMAFD 1359-6454 10.1016/j.actamat.2005.06.007 (Pubitemid 41217458)
7. J. Weiss, F. Lahaie, and J.R. Grasso, J. Geophys. Res. JGREA2 0148-0227 105, 433 (2000). 10.1029/1999JB900312
8. D.M. Dimiduk, C. Woodward, R. LeSar, and M.D. Uchic, Science 312, 1188 (2006). SCIEAS 0036-8075 10.1126/science.1123889 (Pubitemid 43801139)
9. S. Brinckmann, J-Y. Kim, and J.R. Greer, Phys. Rev. Lett. 100, 155502 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.155502 (Pubitemid 351561902)
10. J.R. Greer and J.T.M. De Hosson, Prog. Mater. Sci. PRMSAQ 0079-6425 56, 654 (2011). 10.1016/j.pmatsci.2011.01.005
11. M.D. Uchic, P. Shade, and D. Dimiduk, Annu. Rev. Mater. Res. 39, 361 (2009), and references therein. ARMRCU 1531-7331 10.1146/annurev-matsci-082908- 145422
12. O. Kraft, P. Gruber, R. Mönig, and D. Weygand, Annu. Rev. Mater. Res. 40, 293 (2010), and references therein. ARMRCU 1531-7331 10.1146/annurev-matsci-082908-145409
13. A.H.W. Ngan and K.S. Ng, Philos. Mag. PMHABF 1478-6435 90, 1937 (2010). 10.1080/14786430903571487
14. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.095507 for additional information on the technical details of both the analysis and the experiment.
15. M. Zaiser, J. Schwerdtfeger, A.S. Schneider, C.P. Frick, B.G. Clark, P.A. Gruber, and E. Arzt, Philos. Mag. PMHABF 1478-6435 88, 3861 (2008). 10.1080/14786430802132522
16. J.-Y Kim and J.R. Greer, Acta Mater. 57, 5245 (2009). ACMAFD 1359-6454 10.1016/j.actamat.2009.07.027
17. J.-Y. Kim, D. Jang, and J.R. Greer, Acta Mater. 58, 2355 (2010). ACMAFD 1359-6454 10.1016/j.actamat.2009.12.022
18. C.R. Weinberger and W. Cai, Proc. Natl. Acad. Sci. U.S.A. 105, 14304 (2008). PNASA6 0027-8424 10.1073/pnas.0806118105
19. N.D. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Westview, Boulder, CO, 1992).
20. J.P. Sethna, K.A. Dahmen, and C.R. Myers, Nature (London) 410, 242 (2001). NATUAS 0028-0836 10.1038/35065675 (Pubitemid 32218699)
21. A.P. Mehta, A.C. Mills, K.A. Dahmen, and J.P. Sethna, Phys. Rev. E 65, 046139 (2002). PLEEE8 1539-3755 10.1103/PhysRevE.65.046139 (Pubitemid 40618939)
22. M. Zaiser, in Statistical Mechanics of Plasticity and Related Instabilities, provided by the SAO/NASA Astrophysics Data System (2005).
23. M. Koslowski, Philos. Mag. PMHABF 1478-6435 87, 1175 (2007). 10.1080/14786430600854962 (Pubitemid 46278897)
24. P.Y. Chan, G. Tsekenis, J. Dantzig, K.A. Dahmen, and N. Goldenfeld, Phys. Rev. Lett. 105, 015502 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.015502
25. G. Tsekenis, N. Goldenfeld, and K.A. Dahmen, Phys. Rev. Lett. 106, 105501 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.105501
26. P.D. Ispanovity, I. Groma, G. Gyorgyi, F.F. Csikor, and D. Weygand, Phys. Rev. Lett. 105, 085503 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.085503
27. F.F. Csikor, C. Motz, D. Weygand, M. Zaiser, and S. Zapperi, Science 318, 251 (2007). SCIEAS 0036-8075 10.1126/science.1143719 (Pubitemid 47574848)
28. R.A. White and K.A. Dahmen, Phys. Rev. Lett. 91, 085702 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.085702
29. A.T. Jennings, M.J. Burek, and J.R. Greer, Phys. Rev. Lett. 104, 135503 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.135503
30. A.T. Jennings, J. Li, and J.R. Greer, Acta Mater. ACMAFD 1359-6454 59, 5627 (2011). 10.1016/j.actamat.2011.05.038
31. G. Tsekenis, J.T. Uhl, N. Goldenfeld, and K.A. Dahmen (to be published).
32. M.E.J. Newman, Contemp. Phys. 46, 323 (2005). CTPHAF 0010-7514 10.1080/00107510500052444 (Pubitemid 41335662)