Abstract
We discuss the statistical properties of interacting dislocations in plastically deformed crystals. Due to their long-range mutual interactions, dislocations arrange into jammed configurations, that can be set into motion under the action of an external stress. Disorder provides an additional source of pinning which we study by scaling theories, considering the case of parallel arrays of dislocations in a pileup or a low angle grain boundaries. As an application of these ideas, we discuss the plastic yielding of a vortex lattice in the Corbino disk and the growth of a vortex polycrystal in a field cooling experiment.
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References
J. Friedel, Dislocations (Pergamon Press, Oxford, 1967).
A. H. Cottrell, Dislocations and Plastic Flow in Crystals (Oxford University Press, London, 1953).
J. P. Hirth and J. Lothe, Theory of Dislocations (Krieger Publishing Company, 1992).
F. R. N. Nabarro, Theory of Crystal Dislocations (Dover, New York, 1992).
M.-C. Miguel, A. Vespignani, S. Zapperi, J. Weiss and J. R. Grasso, Nature 410, 667 (2001).
C. Murray, C. Kagan, and M. Bawendi, Ann. Rev. Mat. Sci. 30, 545 (2000).
T. B. Mitchell et al., J. J. Bollinger, W. M. Itano and D. H. E. Dubin, Phys. Rev. Lett. 87 183001 (2001).
Pertsinidis A. and Ling X. S., Nature 413, 47 (2001).
G. Blatter et al., Rev. Mod. Phys. 66, 1125 (1994).
E. H. Brandt, Rep. Prog. Phys. 58, 1465 (1995).
T. Giamarchi and S. Bhattacharya, in “High Magnetic Fields: Applications in Condensed Matter Physics and Spectroscopy”, p. 314, C. Berthier et al. eds., (Springer-Verlag, Berlin, 2002).
A. A. Abrikosov, Zh. Eksp. Teor. Fiz. 32, 1442 (1957).
H. Safar, P. L. Gammel, D. A. Huse, D. J. Bishop, J. P. Rice, and D. Ginsberg, Phys. Rev. Lett. 69, 824 (1992).
S. Bhattacharya and M. J. Higgins, Phys. Rev. Lett. 70, 2617 (1993).
J. Weiss, J. R. Grasso, M. C. Miguel, A. Vespignani and S. Zapperi, Mat. Sci. and Eng. A 309–310, 321 (2001).
J. Weiss and D. Marsan, Science 299, 89 (2003).
J. Weiss, F. Lahaie and J. R.Grasso, J. Geophys. Res. 105, 433 (2000).
E. N. da C. Andrade, Proc. R. Soc. London A 84, 1 (1910); 90, 329 (1914).
N. F. Mott, Phil. Mag. 44, 741 (1953).
A. H. Cottrell, Phil. Mag. Lett. 73, 35 (1996); 74, 375 (1996); 75, 301 (1997).
F. R. N. Nabarro, Phil. Mag. Lett. 75, 227 (1997).
M. Z. Butt and P. Feltham, J. Mat. Sci. 28, 2557 (1993).
H. Neuhäuser, Phys. Scr. T49 412 (1993).
R. Labusch, Phys. Status Solidi 41, 659 (1970); Acta Metall. 20, 917 (1972).
R. Labusch, Cryst. Lattice Defects 1, 1 (1969).
A. I. Lar’kin and Yu. N. Ovchinnikov, J. Low Temp. Phys. 34, 409 (1979).
Y. Paltiel, E. Zeldov, Y. N. Myasoedov, H. Shtrikman, S. Bhattacharya, M. J. Higgins, Z. L. Xiao, E. Y. Andrei, P. L. Gammel, D. J. Bishop, Nature 403, 398 (2000); Y. Paltiel, E. Zeldov, Y. Myasoedov, M. L. Rappaport, G. Jung, S. Bhattacharya, M. J. Higgins, Z. L. Xiao, E. Y. Andrei, P. L. Gammel, and D. J. Bishop, Phys. Rev. Lett. 85, 3712 (2000).
G. W. Crabtree, D. López, W. K. Kwok, H. Safar, L. M. Paulius, J. Low. Temp. Phys. 117, 1313 (1999).
G. D’Anna, P. L. Gammel, A. P. Ramirez, U. Yaron, C. S. Oglesby, E. Bucher, and D. J. Bishop, Phys. Rev. B 54, 6583 (1996).
D. Lopez, W. K. Kwok, H. Safar, R. J. Olsson, A. M. Petrean, L. Paulius, and G. W. Crabtree, Phys. Rev. Lett. 82, 1277 (1999).
M. C. Miguel, A. Vespignani, S. Zapperi, J. Weiss and J. R. Grasso, Mat. Sci. and Eng. A 309–310, 324 (2001).
M. C. Miguel, A. Vespignani, M. Zaiser and S. Zapperi, Phys. Rev. Lett. 89, 165501 (2002).
A. J. Liu and S. R. Nagel, Nature 396, 21 (1998).
A. J. Liu and S. R. Nagel (Eds.), Jamming and Rheology, (Taylor and Francis, London, 2001).
W. K. Kegel and A. van Blaaderen, Science 287, 290 (2000).
E. Weeks et al., Science 287, 627 (2000).
M.-C. Miguel and S. Zapperi, Nat. Mater. 2, 477 (2003).
A. J. E. Foreman, Phil. Mag. 15 (1967) 1011.
T. Nattermann, S. Stepanow, L. H. Tang, and H. Leschhorn J. Phys. II (France) 2, 1483 (1992).
H. Leschhorn, T. Nattermann, S. Stepanow, and L. H. Tang, Ann. Physik 6, 1 (1997).
O. Narayan and D. S. Fisher, Phys. Rev. B 48, 7030 (1993).
P. Chauve, T. Giamarchi, and P. Le Doussal Phys. Rev. B 62, 6241 (2000).
P. Le Doussal, K. J. Wiese, and P. Chauve Phys. Rev. B 66, 174201 (2002).
S. Zapperi and M. Zaiser, Mat. Sci. and Eng. A 309–310, 348 (2001).
P. Moretti, M.-C. Miguel, M. Zaiser and S. Zapperi, Phys. Rev. B 69, 214103 (2004).
D. Ertas and M. Kardar, Phys. Rev. E 49, R2532 (1994).
J. Schmittbuhl, S. Roux, J. P. Villotte, and K. J. Maloy, Phys. Rev. Lett. 74, 1787 (1995).
S. Ramanathan and D. Fisher, Phys. Rev. Lett. 79, 877 (1997); Phys. Rev. B 58, 6026 (1998).
M. Kardar, Phys. Rep. 301 85 (1998).
P. M. Hazzledine and R. D. J. Oldershaw, Phil. Mag. A 61, 579 (1990).
D. L. Olgaard and B. Evans, J. Am. Ceram. Soc. 69, C-272 (1986).
M. Miodownik M. E. A. Holm and G. M. Hassold, Scripta Mater.42, 1173 (2000).
P. Moretti, M.-C. Miguel, M. Zaiser and S. Zapperi, Phys. Rev. Lett. 92, 257004 (2004).
P. Moretti, M.-C. Miguel, and S. Zapperi, Phys. Rev. B 72, 014505 (2005).
I. V. Grigor’eva, Sov. Phys. JETP 69, 194 (1989)
E. Schneider, J. Low. Temp. Phys. 31, 375 (1978).
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Zapperi, S., Miguel, M.C., Moretti, P., Zaiser, M. (2006). Jamming and Yielding of Dislocations: from Crystal Plasticity to Superconducting Vortex Flow. In: Miguel, M.C., Rubi, M. (eds) Jamming, Yielding, and Irreversible Deformation in Condensed Matter. Lecture Notes in Physics, vol 688. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33204-9_11
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DOI: https://doi.org/10.1007/3-540-33204-9_11
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