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Deformation of Crystals: Connections with Statistical Physics

Sethna, James P. and Bierbaum, Matthew K. and Dahmen, Karin A. and Goodrich, Carl P. and Greer, Julia R. and Hayden, Lorien X. and Kent-Dobias, Jaron P. and Lee, Edward D. and Liarte, Danilo B. and Ni, Xiaoyue and Quinn, Katherine N. and Raju, Archishman and Rocklin, D. Zeb and Shekhawat, Ashivni and Zapperi, Stefano (2017) Deformation of Crystals: Connections with Statistical Physics. Annual Review of Materials Research, 47 . pp. 217-246. ISSN 1531-7331. doi:10.1146/annurev-matsci-070115-032036.

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We give a bird's-eye view of the plastic deformation of crystals aimed at the statistical physics community, as well as a broad introduction to the statistical theories of forced rigid systems aimed at the plasticity community. Memory effects in magnets, spin glasses, charge density waves, and dilute colloidal suspensions are discussed in relation to the onset of plastic yielding in crystals. Dislocation avalanches and complex dislocation tangles are discussed via a brief introduction to the renormalization group and scaling. Analogies to emergent scale invariance in fracture, jamming, coarsening, and a variety of depinning transitions are explored. Dislocation dynamics in crystals challenge nonequilibrium statistical physics. Statistical physics provides both cautionary tales of subtle memory effects in nonequilibrium systems and systematic tools designed to address complex scale-invariant behavior on multiple length scales and timescales.

Item Type:Article
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Greer, Julia R.0000-0002-9675-1508
Additional Information:© 2017 Annual Reviews. First published as a Review in Advance on April 3, 2017. We thank Bulbul Chakraborty, Karen Daniels, Andrea J. Liu, and M. Lisa Manning for extensive consultation. We also thank Paul Dawson, Ryan Elliott, Susan Coppersmith, James Jenkins, and Ellad Tadmor for kindly providing references and/or permission to reprint figures. J.P.S., M.K.B., D.B.L., and A.R. were supported by the Department of Energy through grant DE-FG02-07ER46393. L.X.H., J.P.K.-D., E.D.L., and K.N.Q. were supported by the National Science Foundation (NSF) through grant NSF DMR-1312160. K.A.D. is thankful for support from the NSF through grant CBET 1336634 and also thanks the Kavli Institute of Theoretical Physics for hospitality and support through NSF grant PHY11-25915. C.P.G. is supported by the NSF through the Harvard Materials Research Science and Engineering Center (DMR1420570) and the Division of Mathematical Sciences (DMS-1411694). J.R.G. and X.N. are grateful to the US Department of Energy (DOE) through J.R.G.’s Early Career Research Program under grant DE-SC0006599. L.X.H. was supported by a fellowship from Cornell University. E.D.L. acknowledges support by the NSF through the GRFP fellowship (DGE-1650441). K.N.Q. was supported by the Natural Sciences and Engineering Research Council of Canada. D.Z.R. acknowledges support through the Bethe/KIC Fellowship and NSF grant DMR-1308089. A.S. acknowledges support from the Miller Fellowship by the Miller Institute for Basic Research in Science at the University of California, Berkeley. S.Z. is supported by the European Research Council advanced grant SIZEFFECTS. The authors are not aware of any affiliations, memberships, funding, or financial holdings that might be perceived as affecting the objectivity of this review.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-07ER46393
Department of Energy (DOE)DE-SC0006599
Cornell UniversityUNSPECIFIED
NSF Graduate Research FellowshipDGE-1650441
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
University of California, BerkeleyUNSPECIFIED
European Research Council (ERC)SIZEFFECTS
Subject Keywords:plasticity, crystals, critical phenomena, irreversible deformation, dislocation, work hardening, renormalization group
Record Number:CaltechAUTHORS:20170908-091500055
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Official Citation:Deformation of Crystals: Connections with Statistical Physics James P. Sethna, Matthew K. Bierbaum, Karin A. Dahmen, Carl P. Goodrich, Julia R. Greer, Lorien X. Hayden, Jaron P. Kent-Dobias, Edward D. Lee, Danilo B. Liarte, Xiaoyue Ni, Katherine N. Quinn, Archishman Raju, D. Zeb Rocklin, Ashivni Shekhawat, Stefano Zapperi Annual Review of Materials Research 2017 47:1, 217-246
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81261
Deposited By: Tony Diaz
Deposited On:08 Sep 2017 18:12
Last Modified:15 Nov 2021 19:42

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