Abstract.
In trajectory space, dynamical heterogeneities in glass-forming liquids correspond to the emergence of a dynamical phase transition between an active phase poor in local structure and an inactive phase which is rich in local structure. We support this scenario with the study of a model additive mixture of Lennard-Jones particles, quantifying how the choice of the relevant structural and dynamical observable affects the transition in trajectory space. We find that the low mobility, structure-rich phase is dominated by icosahedral order. Applying a non-equilibrium rheological protocol, we connect local order to the emergence of mechanical rigidity.
Graphical abstract
![](http://media.springernature.com/lw685/springer-static/image/art%3A10.1140%2Fepje%2Fi2018-11662-3/MediaObjects/10189_2018_11662_Fig1_HTML.jpg)
Article PDF
Similar content being viewed by others
Explore related subjects
Find the latest articles, discoveries, and news in related topics.Avoid common mistakes on your manuscript.
References
A. Cavagna, Phys. Rep. 476, 51 (2009)
L. Berthier, G. Biroli, Rev. Mod. Phys. 83, 587 (2011)
C.P. Royall, S.R. Williams, Phys. Rep. 560, 1 (2015)
S. Torquato, T.M. Truskett, P.G. Debenedetti, Phys. Rev. Lett. 84, 2064 (2000)
A. Montanari, G. Semerjian, J. Stat. Phys. 125, 23 (2006)
G.M. Hocky, L. Berthier, W. Kob, D. Reichman, Phys. Rev. E 89, 052311 (2014)
C.P. Royall, A. Malins, A.J. Dunleavy, R. Pinney, J. Non-Cryst. Solids 407, 34 (2015)
C.P. Royall, S.R. Williams, T. Ohtsuka, H. Tanaka, Nat. Mater. 7, 556 (2008)
Peter Wochner, Christian Gutt, Tina Autenrieth, Thomas Demmer, Volodymyr Bugaev, Alejandro Díaz Ortiz, Agnès Duri, Federico Zontone, Gerhard Grübel, Helmut Dosch, Proc. Natl. Acad. Sci. U.S.A. 106, 11511 (2009)
M. Leocmach, H. Tanaka, Nat. Commun. 3, 974 (2012)
C. Patrick Royall, Stephen R. Williams, Hajime Tanaka, J. Chem. Phys. 148, 044501 (2018)
H.W. Sheng, W.K. Luo, F.M. Alamgir, J.M. Bai, E. Ma, Nature 439, 419 (2006)
C. Chen, O. Cook, C.E. Nicholson, S.J. Cooper, Cryst. Growth Des. 11, 2228 (2011)
A. Hirata, L.J. Kang, T. Fujita, B. Klumov, K. Matsue, M. Kotani, A.R. Yavari, M.W. Chen, Science 341, 376 (2013)
S. Gokhale, K.H. Nagamanasa, R. Ganapathy, A.K. Sood, Nat. Commun. 5, 4685 (2014)
V. Chikkadi, D.M. Miedema, M.T. Dang, B. Nienhuis, P. Schall, Phys. Rev. Lett. 113, 208301 (2014)
J.D. Bernal, Nature 183, 141 (1959)
J.D. Bernal, Nature 185, 68 (1960)
J.L. Finney, Proc. R. Soc. A 319, 479 (1970)
J.L. Finney, Proc. R. Soc. A 319, 495 (1970)
D.R. Nelson, Phys. Rev. Lett. 50, 982 (1983)
G. Tarjus, S.A. Kivelson, Z. Nussinov, P. Viot, J. Phys.: Condens. Matter 17, R1143 (2005)
David Chandler, Juan P. Garrahan, Annu. Rev. Condens. Matter Phys. 61, 191 (2010)
J.C. Dyre, Rev. Mod. Phys. 78, 953 (2006)
V. Lubchenko, P. Wolynes, Annu. Rev. Phys. Chem. 58, 235 (2007)
Vassiliy Lubchenko, Adv. Phys. 64, 283 (2015)
L. Berthier, M.D. Ediger, Phys. Today 69, 40 (2016) issue No. 1
C. Cammarota, G. Biroli, Proc. Natl. Acad. Sci. U.S.A. 109, 8850 (2012)
W. Kob, L. Berthier, Phys. Rev. Lett. 110, 245702 (2013)
Walter Kob, Daniele Coslovich, Phys. Rev. E 90, 052305 (2014)
Ludovic Berthier, Daniele Coslovich, Andrea Ninarello, Misaki Ozawa, Phys. Rev. Lett. 116, 238002 (2016)
A. Ninarello, L. Berthier, D. Coslovich, Phys. Rev. X 7, 021039 (2017)
L.O. Hedges, R.L. Jack, J.P. Garrahan, D. Chandler, Science 323, 1309 (2009)
T. Speck, A. Malins, C.P. Royall, Phys. Rev. Lett. 109, 195703 (2012)
F. Turci, C.P. Royall, T. Speck, Phys. Rev. X 7, 031028 (2017)
J.P. Garrahan, R.L. Jack, E. Lecomte, V. amd Pitard, K. van Duijvendijk, F. van Wijland, Phys. Rev. Lett. 98, 195702 (2007)
A.S. Keys, L.O. Hedges, J.P. Garrahan, S.C. Glotzer, D. Chandler, Phys. Rev. X 1, 021013 (2011)
Y.S. Elmatad, D. Chandler, J.P. Garrahan, J. Phys. Chem. B 113, 5563 (2009)
Francesco Turci, Estelle Pitard, EPL 94, 10003 (2011)
Takahiro Nemoto, Robert L. Jack, Vivien Lecomte, Phys. Rev. Lett. 118, 115702 (2017)
R.L. Jack, L.O. Hedges, J.P. Garrahan, D. Chandler, Phys. Rev. Lett. 107, 275702 (2011)
Estelle Pitard, Vivien Lecomte, Frédéric Van Wijland, EPL 96, 56002 (2011)
Masaharu Isobe, Aaron S. Keys, David Chandler, Juan P. Garrahan, Phys. Rev. Lett. 117, 145701 (2016)
T. Speck, D. Chandler, J. Chem. Phys. 136, 184509 (2012)
Rattachai Pinchaipat, Matteo Campo, Francesco Turci, James E. Hallett, Thomas Speck, C. Patrick Royall, Phys. Rev. Lett. 119, 028004 (2017)
G.M. Hocky, D. Coslovich, A. Ikeda, D. Reichman, Phys. Rev. Lett. 113, 157801 (2014)
Göran Wahnström, Phys. Rev. A 44, 3752 (1991)
A. Malins, J. Eggers, C.P. Royall, S.R. Williams, H. Tanaka, J. Chem. Phys. 138, 12A535 (2013)
R. Pinney, T.B. Liverpool, C.P. Royall, J. Chem. Phys. 143, 244507 (2015)
Thomas Jenkinson, Peter Crowther, Francesco Turci, C. Patrick Royall, J. Chem. Phys. 147, 054501 (2017)
Daniele Coslovich, Phys. Rev. E 83, 8 (2011)
D. Coslovich, G. Pastore, J. Chem. Phys. 127, 124504 (2007)
F. Turci, G. Tarjus, C.P. Royall, Phys. Rev. Lett. 118, 215501 (2017)
U.R. Pedersen, T.B. Schroder, J.C. Dyre, P. Harrowell, Phys. Rev. Lett. 104, 105701 (2010)
P.G. Bolhuis, D. Chandler, C. Dellago, P.L. Geissler, Ann. Rev. Phys. Chem. 53, 291 (2002)
David D.L. Minh, John D. Chodera, J. Chem. Phys. 131, 134110 (2009)
A. Malins, S.R. Williams, J. Eggers, C.P. Royall, J. Chem. Phys. 139, 234506 (2013)
C.P. Royall, W. Kob, J. Stat. Mech.: Theor. Exp. 2017, 024001 (2017)
D. Coslovich, R.L. Jack, J. Stat. Mech.: Theor. Exp. 2016, 074012 (2016)
Erik Bitzek, Pekka Koskinen, Franz Gähler, Michael Moseler, Peter Gumbsch, Phys. Rev. Lett. 97, 170201 (2006)
Hugo Touchette, to be published in Physica A (2017) https://doi.org/10.1016/j.physa.2017.10.046
K. Kim, S. Saito, J. Chem. Phys. 138, 12A506 (2013)
R.L. Jack, J.P. Garrahan, Phys. Rev. E 81, 011111 (2010)
Raffaele Pastore, Antonio Coniglio, Massimo Pica Ciamarra, Sci. Rep. 5, 11770 (2015)
Raffaele Pastore, Antonio Coniglio, Antonio de Candia, Annalisa Fierro, M. Pica Ciamarra, J. Stat. Mech.: Theor. Exp. 2016, 054050 (2016)
C. Maloney, A. Lemaitre, Phys. Rev. Lett. 93, 016001 (2004)
C.E. Maloney, A. Lemaitre, Phys. Rev. E 74, 016118 (2006)
Y.S. Elmatad, R.L. Jack, D. Chandler, J.P. Garrahan, Proc. Natl. Acad. Sci. U.S.A. 107, 12793 (2010)
R. Pinney, T.B. Liverpool, C.P. Royall, J. Chem. Phys. 145, 234501 (2016)
Author information
Authors and Affiliations
Corresponding author
Additional information
This article is published with open access at Springerlink.com
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Turci, F., Speck, T. & Royall, C.P. Structural-dynamical transition in the Wahnström mixture. Eur. Phys. J. E 41, 54 (2018). https://doi.org/10.1140/epje/i2018-11662-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epje/i2018-11662-3