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Related papers: Is the glassy dynamics same in 2D as in 3D? The Ad…

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The Adam-Gibbs (AG) relation connects the dynamics of a glass-forming liquid to its the thermodynamics via. the configurational entropy, and is of fundamental importance in descriptions of glassy behaviour. The breakdown of the…

Statistical Mechanics · Physics 2017-08-09 Anshul D. S. Parmar , Shiladitya Sengupta , Srikanth Sastry

The Adam-Gibbs relation between relaxation times and the configurational entropy has been tested extensively for glass formers using experimental data and computer simulation results. Although the form of the relation contains no dependence…

Disordered Systems and Neural Networks · Physics 2015-06-05 Shiladitya Sengupta , Smarajit Karmakar , Chandan Dasgupta , Srikanth Sastry

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…

Soft Condensed Matter · Physics 2019-06-26 Elijah Flenner , Grzegorz Szamel

Phase transitions significantly differ between two-dimensional and three-dimensional systems, but the influence of dimensionality on the glass transition is unresolved. We use microscopy to study colloidal systems as they approach their…

Soft Condensed Matter · Physics 2017-05-26 Skanda Vivek , Colm P. Kelleher , Paul M. Chaikin , Eric R. Weeks

By using large-scale molecular dynamics simulations, the dynamics of two-dimensional (2D) supercooled liquids turns out to be dependent on the system size, while the size dependence is not pronounced in three dimensional (3D) systems. It is…

Statistical Mechanics · Physics 2016-12-07 Hayato Shiba , Yasunori Yamada , Takeshi Kawasaki , Kang Kim

Dimensionality strongly affects thermal fluctuations and critical dynamics of equilibrium systems. These influences persist in amorphous systems going through the nonequilibrium glass transition. Here, we experimentally study the glass…

Soft Condensed Matter · Physics 2019-05-01 Bo Zhang , Xiang Cheng

If a liquid is cooled rapidly to form a glass, its structural relaxation becomes retarded, producing a drastic increase in viscosity. In two dimensions, strong long-wavelength fluctuations persist, even at low temperature, making it…

Soft Condensed Matter · Physics 2019-12-25 Hayato Shiba , Takeshi Kawasaki , Kang Kim

The slow down of dynamics in glass forming liquids as the glass transition is approached has been characterised through the Adam-Gibbs relation, which relates relaxation time scales to the configurational entropy. The Adam-Gibbs relation…

Soft Condensed Matter · Physics 2018-05-24 Anshul D. S. Parmar , Shiladitya Sengupta , Srikanth Sastry

This is a commentary on two recent experimental papers in PNAS by Vivek et al. and Illing et al. that convincingly address an issue at the junction of two fundamental questions in glass physics: the role of the dimensionality of space on…

Statistical Mechanics · Physics 2022-06-08 Gilles Tarjus

Translational dynamics of two-dimensional glass forming fluids is strongly influenced by soft, long-wavelength fluctuations first recognized by D. Mermin and H. Wagner. As a result of these fluctuations, characteristic features of glassy…

Soft Condensed Matter · Physics 2019-03-27 Elijah Flenner , Grzegorz Szamel

We explore the nature of glass-formation in variable spatial dimensionality ($d$) based on the generalized entropy theory, a synthesis of the Adam-Gibbs model with direct computation of the configurational entropy of polymer fluids using an…

Soft Condensed Matter · Physics 2016-11-09 Wen-Sheng Xu , Jack F. Douglas , Karl F. Freed

A thermodynamic measure of the fragility of liquids has recently (Ito et al ref.1) been defined in terms of the temperature dependence of the excess entropy of liquid over crystal, scaled by the excess entropy at the glass transition…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. -M. Martinez , C. A. Angell

In two-dimensions (2D), the Mermin-Wagner-Hohenberg (MWH) fluctuation plays a significant role, giving rise to striking dimensionality effects marked by long-range density fluctuations leading to the singularities of various dynamical…

Soft Condensed Matter · Physics 2026-01-09 Subhodeep Dey , Antik Bhattacharya , Smarajit Karmakar

Metallic glasses have so far attracted considerable attention for their applications as bulk materials. However, new physics and applications often emerge by dimensional reduction from three dimension (3D) to two dimension (2D). Here, we…

Materials Science · Physics 2017-09-07 Yuan-Chao Hu , Hajime Tanaka , Wei-Hua Wang

We have connected the dynamic fragility, namely the rapidity of the relaxation time increase upon temperature reduction, to the excess entropy and heat capacity of a large number of glass-forming polymers. The connection was obtained in a…

Soft Condensed Matter · Physics 2009-11-11 D. Cangialosi , A. Alegria , J. Colmenero

The breakdown of the Stokes-Einstein (SE) relation between diffusivity and viscosity at low temperatures is considered to be one of the hallmarks of glassy dynamics in liquids. Theoretical analyses relate this breakdown with the presence of…

Statistical Mechanics · Physics 2015-06-12 Shiladitya Sengupta , Smarajit Karmakar , Chandan Dasgupta , Srikanth Sastry

In a recent comment, M. Kosterlitz described how the discrepancy about the lack of broken translational symmetry in two dimensions - doubting the existence of 2D crystals - and the first computer simulations foretelling 2D crystals at least…

Statistical Mechanics · Physics 2017-03-27 Bernd Illing , Sebastian Frischi , Herbert Kaiser , Christian Klix , Georg Maret , Peter Keim

Fragility, quantifying the rapidity of variation of relaxation times, is analysed for a series of model glass formers, which differ in the softness of their interparticle interactions. In an attempt to rationalize experimental observations…

Soft Condensed Matter · Physics 2017-05-30 Anshul D. S. Parmar , Pallabi Kundu , Srikanth Sastry

We study spatio-temporal fluctuations in the non-equilibrium dynamics of the d dimensional O(N) in the large N limit. We analyse the invariance of the dynamic equations for the global correlation and response in the slow ageing regime under…

Statistical Mechanics · Physics 2009-11-11 Claudio Chamon , Leticia F. Cugliandolo , Hajime Yoshino

We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments…

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