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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

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

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

Long-wavelength Mermin-Wagner fluctuations prevent the existence of translational long-range order, in two-dimensional systems at finite temperature. Their dynamical signature, which is the divergence of the vibrational amplitude with the…

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

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

Previous studies have suggested a conundrum in the relaxation dynamics of polydisperse supercooled liquids. It has been shown that in two dimensions, the relative relaxation times of particles of different sizes become more similar as the…

Soft Condensed Matter · Physics 2025-03-06 Ilian Pihlajamaa , Lotte van Gessel , Corentin Laudicina , Luc van Burik , Liesbeth Janssen

It has been recognized of late that even amorphous, glass-forming materials in two dimensions (2D) are significantly affected by Mermin-Wagner type long wavelength thermal fluctuation which is inconsequential in three (3D) and higher…

Disordered Systems and Neural Networks · Physics 2024-07-19 Santu Nath , Shiladitya Sengupta

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

Studies of low-frequency resistance noise demonstrate that glassy freezing occurs in a two-dimensional electron system in silicon in the vicinity of the metal-insulator transition (MIT). The width of the metallic glass phase, which…

Strongly Correlated Electrons · Physics 2009-11-10 D. Popovic , S. Bogdanovich , J. Jaroszynski , T. M. Klapwijk

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

When driven by nonequilibrium fluctuations, particle systems may display phase transitions and physical behaviour with no equilibrium counterpart. We study a two-dimensional particle model initially proposed to describe driven non-Brownian…

Statistical Mechanics · Physics 2023-08-23 Leonardo Galliano , Michael E. Cates , Ludovic Berthier

The phase behavior of liquids confined in a slit geometry does not reveal a crossover from a three to a two-dimensional behavior as the gap size decreases. Indeed, the prototypical two-dimensional hexatic phase only occurs in liquids…

Soft Condensed Matter · Physics 2021-07-27 Jing Yang , Yan-Wei Li , Massimo Pica Ciamarra

We use Langevin dynamics simulations to study dense 2d systems of particles with both size and energy polydispersity. We compare two types of bidisperse systems which differ in the correlation between particle size and interaction…

Soft Condensed Matter · Physics 2020-06-24 Itay Azizi , Yitzhak Rabin

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 study concentrated binary colloidal suspensions, a model system which has a glass transition as the volume fraction $\phi$ of particles is increased. We use confocal microscopy to directly observe particle motion within dense samples…

Soft Condensed Matter · Physics 2011-05-20 Takayuki Narumi , Scott V. Franklin , Kenneth W. Desmond , Michio Tokuyama , Eric R. Weeks

We present a new type of phase-change behavior relevant for information storage applications, that can be observed in 2D systems with cluster-forming ability. The temperature-based control of the ordering in 2D particle systems depends on…

Statistical Mechanics · Physics 2019-04-30 Rogelio Díaz-Méndez , Guido Pupillo , Fabio Mezzacapo , Mats Wallin , Jack Lidmar , Egor Babaev

We study the local dynamical fluctuations in glass-forming models of particles embedded in $d$-dimensional space, in the mean-field limit of $d\to\infty$. Our analytical calculation reveals that single-particle observables, such as squared…

Disordered Systems and Neural Networks · Physics 2022-04-27 Giulio Biroli , Patrick Charbonneau , Giampaolo Folena , Yi Hu , Francesco Zamponi

We investigate the calorimetric liquid-glass transition by performing simulations of a binary Lennard-Jones mixture in one through four dimensions. Starting at a high temperature, the systems are cooled to T=0 and heated back to the ergodic…

Disordered Systems and Neural Networks · Physics 2009-01-01 Ralf Brüning , Denis A. St-Onge , Steve Patterson , Walter Kob

We study the influence of composition changes on the glass transition of binary hard disc and hard sphere mixtures in the framework of mode coupling theory. We derive a general expression for the slope of a glass transition line. Applied to…

Soft Condensed Matter · Physics 2010-09-15 D. Hajnal , J. M. Brader , R. Schilling
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