Fundamental differences between glassy dynamics in two and three dimensions

被引:145
作者
Flenner, Elijah [1 ]
Szamel, Grzegorz [1 ]
机构
[1] Colorado State Univ, Dept Chem, Ft Collins, CO 80523 USA
基金
美国国家科学基金会;
关键词
MODE-COUPLING THEORY; MICROSCOPIC DYNAMICS; SUPERCOOLED LIQUID; MOLECULAR-DYNAMICS; RELAXATION; TEMPERATURE; TRANSITION; ORDER;
D O I
10.1038/ncomms8392
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The two-dimensional freezing transition is very different from its three-dimensional counterpart. In contrast, the glass transition is usually assumed to have similar characteristics in two and three dimensions. Using computer simulations, here we show that glassy dynamics in supercooled two- and three-dimensional fluids are fundamentally different. Specifically, transient localization of particles on approaching the glass transition is absent in two dimensions, whereas it is very pronounced in three dimensions. Moreover, the temperature dependence of the relaxation time of orientational correlations is decoupled from that of the translational relaxation time in two dimensions but not in three dimensions. Last, the relationships between the characteristic size of dynamically heterogeneous regions and the relaxation time are very different in two and three dimensions. These results strongly suggest that the glass transition in two dimensions is different than in three dimensions.
引用
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页数:6
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共 24 条
[1]  
Allen M. P., 1998, CCP5 Quarterly, V31
[2]   General purpose molecular dynamics simulations fully implemented on graphics processing units [J].
Anderson, Joshua A. ;
Lorenz, Chris D. ;
Travesset, A. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (10) :5342-5359
[3]   Strong Dynamical Heterogeneity and Universal Scaling in Driven Granular Fluids [J].
Avila, Karina E. ;
Castillo, Horacio E. ;
Fiege, Andrea ;
Vollmayr-Lee, Katharina ;
Zippelius, Annette .
PHYSICAL REVIEW LETTERS, 2014, 113 (02)
[4]   Two-Step Melting in Two Dimensions: First-Order Liquid-Hexatic Transition [J].
Bernard, Etienne P. ;
Krauth, Werner .
PHYSICAL REVIEW LETTERS, 2011, 107 (15)
[5]   The Monte Carlo dynamics of a binary Lennard-Jones glass-forming mixture [J].
Berthier, L. ;
Kob, W. .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2007, 19 (20)
[6]   Theoretical perspective on the glass transition and amorphous materials [J].
Berthier, Ludovic ;
Biroli, Giulio .
REVIEWS OF MODERN PHYSICS, 2011, 83 (02) :587-645
[7]   Structural relaxation made simple [J].
Bitzek, Erik ;
Koskinen, Pekka ;
Gaehler, Franz ;
Moseler, Michael ;
Gumbsch, Peter .
PHYSICAL REVIEW LETTERS, 2006, 97 (17)
[8]   Glass transitions in one-, two-, three-, and four-dimensional binary Lennard-Jones systems [J].
Bruening, Ralf ;
St-Onge, Denis A. ;
Patterson, Steve ;
Kob, Walter .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2009, 21 (03)
[9]   Spatiotemporal Hierarchy of Relaxation Events, Dynamical Heterogeneities, and Structural Reorganization in a Supercooled Liquid [J].
Candelier, R. ;
Widmer-Cooper, A. ;
Kummerfeld, J. K. ;
Dauchot, O. ;
Biroli, G. ;
Harrowell, P. ;
Reichman, D. R. .
PHYSICAL REVIEW LETTERS, 2010, 105 (13)
[10]   Universal Features of Dynamic Heterogeneity in Supercooled Liquids [J].
Flenner, Elijah ;
Staley, Hannah ;
Szamel, Grzegorz .
PHYSICAL REVIEW LETTERS, 2014, 112 (09)