Frustration on the way to crystallization in glass

Some liquids do not crystallize below the melting point, but instead enter into a supercooled state and on cooling eventually become a glass at the glass-transition temperature. During this process, the liquid dynamics not only drastically slow down, but also become progressively more heterogeneous. The relationship between the kinetic slowing down and growing dynamic heterogeneity is a key problem of the liquid–glass transition. Here, we study this problem by using a liquid model, with a crystalline ground state, for which we can systematically control frustration against crystallization. We found that slow regions having a high degree of crystalline order emerge below the melting point, and their characteristic size and lifetime increase steeply on cooling. These crystalline regions lead to dynamic heterogeneity, suggesting a connection to the complex free-energy landscape and the resulting slow dynamics. These findings point towards an intrinsic link between the glass transition and crystallization.

[1]  H. Sillescu Heterogeneity at the glass transition: a review , 1999 .

[2]  Pablo G. Debenedetti,et al.  Supercooled liquids and the glass transition , 2001, Nature.

[3]  T. R. Kirkpatrick,et al.  Scaling concepts for the dynamics of viscous liquids near an ideal glassy state. , 1989, Physical review. A, General physics.

[4]  S. Glotzer,et al.  Spatially heterogeneous dynamics investigated via a time-dependent four-point density correlation function , 2003 .

[5]  R. Richert Heterogeneous dynamics in liquids: fluctuations in space and time , 2002 .

[6]  J. P. Garrahan,et al.  Coarse-grained microscopic model of glass formers , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[7]  Dzugutov Glass formation in a simple monatomic liquid with icosahedral inherent local order. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[8]  T. Thurn‐Albrecht,et al.  X-Ray Scattering Study and Molecular Simulation of Glass Forming Liquids: Propylene Carbonate and Salol , 2000 .

[9]  Hajime Tanaka LETTER TO THE EDITOR: Roles of local icosahedral chemical ordering in glass and quasicrystal formation in metallic glass formers , 2003 .

[10]  Thomas A. Weber,et al.  Hidden structure in liquids , 1982 .

[11]  Hajime Tanaka,et al.  Simple physical model of liquid water , 2000 .

[12]  Robert C. Wolpert,et al.  A Review of the , 1985 .

[13]  Hajime Tanaka Two-order-parameter model of the liquid-glass transition. I. Relation between glass transition and crystallization , 2005 .

[14]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[15]  F. Frank Supercooling of liquids , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[16]  Hajime Tanaka Two-order-parameter description of liquids. I. A general model of glass transition covering its strong to fragile limit , 1999 .

[17]  M D Ediger,et al.  Spatially heterogeneous dynamics in supercooled liquids. , 2003, Annual review of physical chemistry.

[18]  Francesco Sciortino,et al.  Potential energy landscape description of supercooled liquids and glasses , 2005 .

[19]  Brian B. Laird,et al.  Symplectic algorithm for constant-pressure molecular dynamics using a Nosé–Poincaré thermostat , 2000 .

[20]  P G Wolynes,et al.  Microscopic theory of heterogeneity and nonexponential relaxations in supercooled liquids. , 2001, Physical review letters.

[21]  Peter Harrowell,et al.  How reproducible are dynamic heterogeneities in a supercooled liquid? , 2004, Physical review letters.

[22]  Srikanth Sastry,et al.  Signatures of distinct dynamical regimes in the energy landscape of a glass-forming liquid , 1998, Nature.

[23]  G. Biroli,et al.  Dynamical susceptibility of glass formers: contrasting the predictions of theoretical scenarios. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Paul F. McMillan,et al.  Relaxation in glassforming liquids and amorphous solids , 2000 .

[25]  Martin Goldstein,et al.  Viscous Liquids and the Glass Transition: A Potential Energy Barrier Picture , 1969 .

[26]  Z. Nussinov,et al.  TOPICAL REVIEW: The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment , 2005 .

[27]  H. C. Andersen Molecular dynamics studies of heterogeneous dynamics and dynamic crossover in supercooled atomic liquids. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[28]  P. Steinhardt,et al.  Bond-orientational order in liquids and glasses , 1983 .

[29]  Jonathan P. K. Doye,et al.  The favored cluster structures of model glass formers , 2003 .

[30]  G. Adam,et al.  On the Temperature Dependence of Cooperative Relaxation Properties in Glass‐Forming Liquids , 1965 .