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Related papers: Tagged-particle motion of Percus-Yevick hard spher…

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We present a mode-coupling theory for the dynamics of a tagged particle in a driven granular fluid close to the glass transition. The mean-squared displacement is shown to exhibit a plateau indicating structural arrest. In contrast to…

Statistical Mechanics · Physics 2012-11-20 Matthias Sperl , Wolf Till Kranz , Annette Zippelius

Conjecture II.3.6 of Spohn in [Spohn '91] and Lecture 7 of Jensen-Yau in [Jensen-Yau '99] ask for a general derivation of universal fluctuations of hydrodynamic limits in large-scale stochastic interacting particle systems. However, the…

Probability · Mathematics 2023-03-21 Kevin Yang

The primary relaxation in glass forming supercooled liquids (SCLs) above the glass transformation temperature T_g is discussed in terms of the first-order (steepness) and the second-order (curvature) temperature derivatives of the observed…

Chemical Physics · Physics 2007-05-23 Valery B. Kokshenev , Pablo D. Borges , Neil S. Sullivan

We demonstrate how the matrix-valued mode-coupling theory of the glass transition and glassy dynamics in planar confinement converges to the corresponding theory for two-dimensional (2D) planar and the three-dimensional bulk liquid,…

Soft Condensed Matter · Physics 2015-01-12 Simon Lang , Rolf Schilling , Thomas Franosch

Thermodynamics and kinetics are thought to be linked in glass transitions. The quantitative predictions of -relaxation activation barriers provided by the theory of glasses based on random first order transitions are compared with…

Soft Condensed Matter · Physics 2007-05-23 Jacob D. Stevenson , Peter G. Wolynes

The equations of motion for the density modes of a fluid, derived from Newton's equations, are written as a linear generalized Langevin equation. The constraint imposed by the fluctuation-dissipation theorem is used to derive an exact form…

Soft Condensed Matter · Physics 2009-11-07 E. Zaccarelli , G. Foffi , F. Sciortino , P. Tartaglia , K. A. Dawson

The predictions of the mode-coupling theory (MCT) for the dynamical arrest scenarios in a partly pinned (PP) fluid system are reported. The corresponding dynamical phase diagram is found to be very similar to that of a related…

Disordered Systems and Neural Networks · Physics 2011-11-21 Vincent Krakoviack

Glassy dynamics in a dense system of active particles with self-propulsion force $f_0$ and persistence time $\tau_p$ are crucial for many biological processes. Recent studies have shown that, unlike relaxation dynamics, dynamic…

Soft Condensed Matter · Physics 2024-10-22 Soumitra Kolya , Puneet Pareek , Saroj Kumar Nandi

Mesoscopic theory for self-assembling systems near a planar confining surface is developed. Euler- Lagrange (EL) equations and the boundary conditions (BC) for the local volume fraction and the correlation function are derived from the DFT…

Statistical Mechanics · Physics 2020-01-03 A. Ciach

By combining aspects of the coherent and self intermediate scattering functions, measured by dynamical light scattering on a suspension of hard sphere-like particles, we show that the arrest of particle number density fluctuations spreads…

Soft Condensed Matter · Physics 2015-05-13 W. van Megen , V. A. Martinez , G. Bryant

We explore several potential issues that have been raised over the years regarding the "entropic droplet" scenario of activated transport in liquids, due to Wolynes and coworkers, with the aim of clarifying the status of various…

Disordered Systems and Neural Networks · Physics 2014-12-05 Vassiliy Lubchenko , Pyotr Rabochiy

In this letter we introduced a new scaling method based on Adam-Gibbs model. Moreover, generalised critical-like expression of configurational entropy S_C (T)=S_0 (1-T_K/T)^n is used. Obtained values of pseudocritical exponent n seem to be…

Statistical Mechanics · Physics 2025-01-23 Szymon Starzonek , Aleksandra Drozd-Rzoska , Sylwester J. Rzoska

A statistical thermodynamic approach of moving particles forming an elastic body is presented which leads to reveal molecular-mechanical properties of classical and nonextensive dynamical systems. We derive the Boltzmann-Gibbs (BG) entropy…

Statistical Mechanics · Physics 2009-11-10 Enrique Canessa

Systems with a high degree of size polydispersity are becoming standard in the computational study of deeply supercooled liquids. In this work we perform a systematic analysis of continuously polydisperse fluids as a function of the degree…

Soft Condensed Matter · Physics 2023-09-06 Corentin C. L. Laudicina , Ilian Pihlajamaa , Liesbeth M. C. Janssen

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

The theoretical description of materials' properties driven out of equilibrium has important consequences in various fields such as semiconductor spintronics, nonlinear optics, continuous and discrete quantum information science and…

Materials Science · Physics 2025-09-18 Jacopo Simoni , Gabriele Riva , Yuan Ping

A model of self-driven particles similar to the Vicsek model [Phys. Rev. Lett. 75 (1995) 1226] but with metric-free interactions is studied by means of a novel Enskog-type kinetic theory. In this model, N particles of constant speed v0 try…

Statistical Mechanics · Physics 2012-08-21 Yen-Liang Chou , Rylan Wolfe , Thomas Ihle

We discuss the general link between mode-coupling like equations (which serve as the basis of some recent theories of supercooled liquids) and the dynamical equations governing mean-field spin-glass models, or the dynamics of a particle in…

Condensed Matter · Physics 2015-06-25 Jean-Philippe Bouchaud , Leticia Cugliandolo , Jorge Kurchan , Marc Mézard

Aging refers to the evolution of system properties with waiting time $t_w$. It is a key feature of glassy dynamics. Recent experiments have demonstrated aging in biological systems that are inherently active with a magnitude of…

Soft Condensed Matter · Physics 2026-04-10 Soumitra Kolya , Nir S. Gov , Saroj Kumar Nandi

We study the mean-field static solution of the Blume-Emery-Griffiths-Capel model with quenched disorder, an Ising-spin lattice gas with quenched random magnetic interaction. The thermodynamics is worked out in the Full Replica Symmetry…

Statistical Mechanics · Physics 2016-08-31 Andrea Crisanti , Luca Leuzzi
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