Solids between the mechanical extremes of order and disorder

Nature Physics

Volumn 10, Issue 8, 2014, Pages 578-581

  Goodrich, Carl P ^a   Liu, Andrea J ^a   Nagel, Sidney R ^b  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL STRUCTURE; ELECTRONIC STRUCTURE; ELECTRONS; MECHANICAL PROPERTIES;

AMORPHOUS SYSTEMS; CRYSTALLINE ORDER; FREE ELECTRON; JAMMING TRANSITION; MECHANICAL BEHAVIOUR; MECHANICAL PROPERTIES OF SOLIDS; ORDER AND DISORDER; TIGHT BINDING MODEL;

JAMMING;

EID: 84905371879     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys3006     Document Type: Article

References (31)

1. Ashcroft, N. W. & Mermin, N. D. Solid State Physics (Thomson Brooks/Cole, 1976).
2. Phillips, W. A. (ed.) Amorphous Solids: Low-Temperature Properties (Springer, 1981).
3. Liu, A. J. & Nagel, S. R. Jamming is not just cool any more. Nature 396, 21-22 (1998).
4. O'Hern, C. S., Silbert, L. E., Liu, A. J. & Nagel, S. R. Jamming at zero temperature and zero applied stress: The epitome of disorder. Phys. Rev. E 68, 011306 (2003).
5. Liu, A. J. & Nagel, S. R. The jamming transition and the marginally jammed solid. Annu. Rev. Condens. Matter Phys. 1, 347-369 (2010).
6. Xu, N., Wyart, M., Liu, A. J. & Nagel, S. R. Excess vibrational modes and the boson peak in model glasses. Phys. Rev. Lett. 98, 175502 (2007).
7. Silbert, L. E., Liu, A. J. & Nagel, S. R. Vibrations and diverging length scales near the unjamming transition. Phys. Rev. Lett. 95, 098301 (2005).
8. Wyart, M., Nagel, S. R. & Witten, T. A. Geometric origin of excess low-frequency vibrational modes in weakly connected amorphous solids. Europhys. Lett. 72, 486-492 (2005).
9. Wyart, M., Liang, H., Kabla, A. & Mahadevan, L. Elasticity of floppy and stiff random networks. Phys. Rev. Lett. 101, 215501 (2008).
10. Phillips, J. C. Topology of covalent non-crystalline solids I: Short-range order in chalcogenide alloys. J. Non-Cryst. Solids 34, 153-181 (1979).
11. Phillips, J. C. Topology of covalent non-crystalline solids II: Medium-range order in chalcogenide alloys and A Si (Ge). J. Non-Cryst. Solids 43, 37-77 (1981).
12. Thorpe, M. F. Continuous deformations in random networks. J. Non-Cryst. Solids 57, 355-370 (1983).
13. Boolchand, P., Lucovsky, G., Phillips, J. C. & Thorpe, M. F. Self-organization and the physics of glassy networks. Phil. Mag. 85, 3823-3838 (2005).
14. Song, C., Wang, P. & Makse, H. A. A phase diagram for jammed matter. Nature 453, 629-632 (2008).
15. Henkes, S., van Hecke, M. & van Saarloos, W. Critical jamming of frictional grains in the generalized isostaticity picture. Europhys. Lett. 90, 14003 (2010).
16. Papanikolaou, S., O'Hern, C. S. & Shattuck, M. D. Isostaticity at frictional jamming. Phys. Rev. Lett. 110, 198002 (2013).
17. Zhang, Z. et al. Thermal vestige of the zero-temperature jamming transition. Nature 459, 230-233 (2009).
18. Donev, A. et al. Improving the density of jammed disordered packings using ellipsoids. Science 303, 990-993 (2004).
19. Zeravcic, Z., Xu, N., Liu, A. J., Nagel, S. R. & van Saarloos, W. Excitations of ellipsoid packings near jamming. Europhys. Lett. 87, 26001 (2009).
20. Mailman, M., Schreck, C. F., O'Hern, C. S. & Chakraborty, B. Jamming in systems composed of frictionless ellipse-shaped particles. Phys. Rev. Lett. 102, 255501 (2009).
21. Bitzek, E., Koskinen, P., Gähler, F., Moseler, M. & Gumbsch, P. Structural relaxation made simple. Phys. Rev. Lett. 97, 170201 (2006).
22. Auer, S. & Frenkel, D. Numerical prediction of absolute crystallization rates in hard-sphere colloids. J. Chem. Phys. 120, 3015-3029 (2004).
23. Russo, J. & Tanaka, H. The microscopic pathway to crystallization in supercooled liquids. Sci. Rep. 2, 505 (2012).
24. Durian, D. J. Foam mechanics at the bubble scale. Phys. Rev. Lett. 75, 4780-4783 (1995).
25. Goodrich, C. P., Liu, A. J. & Nagel, S. R. Comment on 'Repulsive contact interactions make jammed particulate systems inherently nonharmonic'. Phys. Rev. Lett. 112, 049801 (2014).
26. Mari, R., Krzakala, F. & Kurchan, J. Jamming versus glass transitions. Phys. Rev. Lett. 103, 025701 (2009).
27. Zargar, R., Russo, J., Schall, P., Tanaka, H. & Bonn, D. The Boson peak and disorder in hard sphere colloidal systems. Preprint at http://arxiv.org/abs/1403.2770 (2014).
28. x in the orientational glass state. Phys. Rev. Lett. 51, 1050-1053 (1983).
29. Katgert, G., Möbius, M. & van Hecke, M. Rate dependence and role of disorder in linearly sheared two-dimensional foams. Phys. Rev. Lett. 101, 058301 (2008).
30. Katgert, G., Latka, A., Möbius, M. & van Hecke, M. Flow in linearly sheared two-dimensional foams: From bubble to bulk scale. Phys. Rev. E 79, 066318 (2009).
31. Steinhardt, P. J., Nelson, D. R. & Ronchetti, M. Bond-orientational order in liquids and glasses. Phys. Rev. B 28, 784-805 (1983).