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We analyse biased ensembles of trajectories for the random-field Ising model on a fully-connected lattice, which is described exactly by mean-field theory. By coupling the activity of the system to a dynamical biasing field, we find a range…

Statistical Mechanics · Physics 2021-10-27 Jules Guioth , Robert L. Jack

The glass transition of a hard sphere system is investigated within the framework of the density functional theory (DFT). Molecular dynamics (MD) simulations are performed to study dynamical behavior of the system on the one hand and to…

Soft Condensed Matter · Physics 2007-05-23 Kang Kim , Toyonori Munakata

By means of computer simulations and solution of the equations of the Mode Coupling Theory (MCT), we investigate the role of the intramolecular barriers on several dynamic aspects of non-entangled polymers. The investigated dynamic range…

Soft Condensed Matter · Physics 2015-05-18 Marco Bernabei , Angel J. Moreno , Emanuela Zaccarelli , Francesco Sciortino , Juan Colmenero

Sticky hard spheres, i.e., hard particles decorated with a short-ranged attractive interaction potential, constitute a relatively simple model with highly non-trivial glassy dynamics. The mode-coupling theory of the glass transition (MCT)…

Soft Condensed Matter · Physics 2021-08-26 Chengjie Luo , Liesbeth M. C. Janssen

A microscopic theory for equilibrium and non equilibrium relaxations in structural glasses is formulated. For all temperatures below the glass transition the dynamics can be asymptotically separated in a $\beta $ - relaxation regime, which…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Latz

We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a…

Statistical Mechanics · Physics 2019-12-11 Daniele Coslovich , Andrea Ninarello , Ludovic Berthier

We investigate how structural relaxation in mixtures with strong dynamical asymmetry is affected by the microscopic dynamics. Brownian and Newtonian dynamics simulations of dense mixtures of fast and slow hard spheres reveal a striking…

Soft Condensed Matter · Physics 2017-10-02 Suvendu Mandal , Thomas Franosch , Thomas Voigtmann

The element of metastability is incorporated in the fluctuating nonlinear hydrodynamic description of the mode coupling theory (MCT) of the liquid-glass transition. This is achieved through the introduction of the defect density variable…

Condensed Matter · Physics 2009-10-22 Joonhyun Yeo , Gene F. Mazenko

We show that the glass transition predicted by the Mode-Coupling Theory (MCT) is a critical phenomenon with a diverging length and time scale associated to the cooperativity of the dynamics. We obtain the scaling exponents nu and z that…

Statistical Mechanics · Physics 2009-11-10 Giulio Biroli , Jean-Philippe Bouchaud

We uncover the dynamics of particles with Gaussian core interactions across melting in pure and disordered two-dimensional (2D) systems. Intriguing signatures of cooperative motion of particles in string-like paths are found at low…

Soft Condensed Matter · Physics 2024-11-26 Saikat Dutta , Prashanti Jami , Pinaki Chaudhuri , Chandan Dasgupta , Amit Ghosal

The glass transition is a long-standing unsolved problem in materials science. For polymers, our understanding of glass-formation is particularly poor due to the added complexity of chain connectivity and flexibility; structural relaxation…

Soft Condensed Matter · Physics 2022-05-30 Daniel L. Baker , Matthew Reynolds , Robin Masurel , Peter D. Olmsted , Johan Mattsson

One of the most actively debated issues in the study of the glass transition is whether a mean-field description is a reasonable starting point for understanding experimental glass formers. Although the mean-field theory of the glass…

Disordered Systems and Neural Networks · Physics 2014-10-24 Patrick Charbonneau , Yuliang Jin , Giorgio Parisi , Francesco Zamponi

It was recently discovered that SWAP, a Monte Carlo algorithm that involves the exchange of pairs of particles of differing diameters, can dramatically accelerate the equilibration of simulated supercooled liquids in regimes where the…

Statistical Mechanics · Physics 2019-04-02 Ludovic Berthier , Giulio Biroli , Jean-Philippe Bouchaud , Gilles Tarjus

We combine the hyper-netted chain approximation of liquid state theory with the mode-coupling theory of the glass transition to analyze the structure and dynamics of soft spheres interacting via harmonic repulsion. We determine the locus of…

Statistical Mechanics · Physics 2010-03-29 Ludovic Berthier , Elijah Flenner , Hugo Jacquin , Grzegorz Szamel

We present fully atomistic Molecular Dynamics simulation results on a main-chain polymer, 1,4-Polybutadiene, in the merging region of the $\alpha$- and $beta$-relaxations. A real space analysis reveals the occurrence of localized motions…

Soft Condensed Matter · Physics 2015-06-25 Juan Colmenero , Arturo Narros , Fernando Alvarez , Arantxa Arbe , Angel J. Moreno

We investigate the complex time evolution of a vacuum state with the insertion of a local primary operator in two-dimensional conformal field theories (2d CFTs). This complex time evolution can be considered as a composite process…

High Energy Physics - Theory · Physics 2026-01-15 Chen Bai , Weibo Mao , Masahiro Nozaki , Mao Tian Tan , Xueda Wen

We review recent developments in structural-dynamical phase transitions in trajectory space. An open question is how the dynamic facilitation theory of the glass transition may be reconciled with thermodynamic theories that posit a…

Statistical Mechanics · Physics 2020-08-04 C. Patrick Royall , Francesco Turci , Thomas Speck

Relaxation processes in collisionless dynamics lead to peculiar behavior in systems with long-range interactions such as self-gravitating systems, non-neutral plasmas and wave-particle systems. These systems, adequately described by the…

Statistical Mechanics · Physics 2011-12-30 Pierre de Buyl , Pierre Gaspard

To understand the origin of the dynamical transition, between high temperature exponential relaxation and low temperature nonexponential relaxation, that occurs well above the static transition in glassy systems, a frustrated spin model,…

Statistical Mechanics · Physics 2009-10-31 Giancarlo Franzese , Antonio Coniglio

The high-pressure dynamics of a computer-modeled silica melt is studied in the framework of the mode-coupling theory of the glass transition (MCT) using static-structure input from molecular-dynamics (MD) computer simulation. The theory…

Materials Science · Physics 2009-11-13 Th. Voigtmann , J. Horbach