Deformation of Crystals: Connections with Statistical Physics
Creators
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1.
Cornell University
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2.
University of Illinois Urbana-Champaign
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3.
Harvard University
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4.
California Institute of Technology
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5.
Lawrence Berkeley National Laboratory
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6.
University of Milan
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7.
Institute for Scientific Interchange
Abstract
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.
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.Attached Files
Accepted Version - 1609.05838.pdf
Files
1609.05838.pdf
Additional details
Identifiers
- Eprint ID
- 81261
- DOI
- 10.1146/annurev-matsci-070115-032036
- Resolver ID
- CaltechAUTHORS:20170908-091500055
Related works
- Describes
- 10.1146/annurev-matsci-070115-032036 (DOI)
- https://arxiv.org/abs/1609.05838 (URL)
Funding
- Department of Energy (DOE)
- DE-FG02-07ER46393
- NSF
- DMR-1312160
- NSF
- CBET-1336634
- NSF
- PHY11-25915
- NSF
- DMR-1420570
- NSF
- DMS-1411694
- Department of Energy (DOE)
- DE-SC0006599
- Cornell University
- NSF Graduate Research Fellowship
- DGE-1650441
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Bethe/KIC Fellowship
- NSF
- DMR-1308089
- University of California, Berkeley
- European Research Council (ERC)
- SIZEFFECTS
Dates
- Created
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2017-09-08Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field