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This theory combines a thermodynamic approach with a dynamic one in order to describe glass transition. Glass transition is regarded as an inaccessible second order phase transition, which is interrupted because of premature critical…

Statistical Mechanics · Physics 2015-06-04 Mikhail Vasin

Glass-forming liquids have been extensively studied in recent decades, but there is still no theory that fully describes these systems, and the diversity of treatments is in itself a barrier to understanding. Here we introduce a new simple…

Disordered Systems and Neural Networks · Physics 2011-03-28 Davide Cellai , Andrzej Z. Fima , Aonghus Lawlor , Kenneth A. Dawson

In this paper we discuss the formulation of the fuctuating Navier-Stokes (FNS) equations for multi-species, non-reactive fluids. In particular, we establish a form suitable for numerical solution of the resulting stochastic partial…

Fluid Dynamics · Physics 2014-01-17 Kaushik Balakrishnan , Alejandro L. Garcia , Aleksandar Donev , John B. Bell

Current fluctuations in boundary-driven diffusive systems are, in many cases, studied using hydrodynamic theories. Their predictions are then expected to be valid for currents which scale inversely with the system size. To study this…

Statistical Mechanics · Physics 2016-05-26 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

We analyze the validity of the fluctuation-dissipation theorem for slow relaxation systems in the context of mesoscopic nonequilibrium thermodynamics. We demonstrate that the violation arises as a natural consequence of the elimination of…

Statistical Mechanics · Physics 2009-11-07 A. Perez-Madrid , D. Reguera , J. M. Rubi

This work is concerned with our recently developed formalism of non-equilibrium thermodynamics. This formalism extends the classical irreversible thermodynamics which leads to classical thermodynamics and can not describe physical phenomena…

Analysis of PDEs · Mathematics 2018-09-06 Zaibao Yang , Wen-An Yong , Yi Zhu

The real-time dynamics of an electroweak phase transition involves large time and distance scales, the domain of hydrodynamics. However, the matching conditions of ideal hydrodynamics across a bubble wall do not fix the fluid profile…

High Energy Physics - Phenomenology · Physics 2025-09-12 M. Eriksson , M. Laine

A key open question in the glass transition field is whether a finite temperature thermodynamic transition to the glass state exists or not. Recent simulations of coupled replicas in atomistic models have found signatures of a static…

Statistical Mechanics · Physics 2015-06-18 Juan P. Garrahan

We analyse the symmetries and the self-consistent perturbative approaches of dynamical field theories for glassforming liquids. In particular, we focus on the time-reversal symmetry (TRS), which is crucial to obtain fluctuation-dissipation…

Statistical Mechanics · Physics 2007-05-23 A. Andreanov , G. Biroli , A. Lefevre

We present simulation results for the dynamics of a schematic model based on the frustration-limited domain picture of glass-forming liquids. These results are compared with approximate theoretical predictions analogous to those commonly…

Statistical Mechanics · Physics 2009-11-10 Phillip L. Geissler , David R. Reichman

A recent first-principles approach to the non-linear rheology of dense colloidal suspensions is evaluated and compared to simulation results of sheared systems close to their glass transitions. The predicted scenario of a universal…

Soft Condensed Matter · Physics 2009-11-07 Matthias Fuchs , Michael E. Cates

We have constructed a nonextensive thermodynamic formalism consisting of two sets of parallel Legendre transformation structures in previous papers. One is the physical set and the other is the Lagrange set. In this paper we study the…

Statistical Mechanics · Physics 2018-04-24 Zheng Yahui , Du Jiulin , Liang Faku

We introduce a model described in terms of a scalar velocity field on a 1d lattice, evolving through collisions that conserve momentum but do not conserve energy. Such a system posseses some of the main ingredients of fluidized granular…

Statistical Mechanics · Physics 2016-11-17 A. Lasanta , A. Manacorda , A. Prados , A. Puglisi

The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics has witnessed remarkable experimental progress. Here, we establish key signatures of fractional quantum Hall systems in…

Quantum Gases · Physics 2025-06-17 Caterina Zerba , Alexander Seidel , Frank Pollmann , Michael Knap

At the mean-field level, on fully connected lattices, several disordered spin models have been shown to belong to the universality class of "structural glasses", with a "random first-order transition" (RFOT) characterized by a discontinuous…

Disordered Systems and Neural Networks · Physics 2012-10-11 C. Cammarota , G. Biroli , M. Tarzia , G. Tarjus

A model glass with fast and slow processes is studied. The statics is simple and the facilitated slow dynamics is exactly solvable. The main features of a fragile glass take place: Kauzmann transition, Vogel-Fulcher law, Adam-Gibbs relation…

Statistical Mechanics · Physics 2009-11-07 L. Leuzzi , Th. M Nieuwenhuizen

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

Statistical Mechanics · Physics 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

A major mystery of glass-forming liquids is the non-Arrhenius temperature-dependence of the average relaxation time. This paper briefly reviews the classical phenomenological models for this phenomenon - the free-volume model and the…

Condensed Matter · Physics 2015-06-25 Jeppe C. Dyre

We use dynamic light scattering and computer simulations to study equilibrium dynamics and dynamic heterogeneity in concentrated suspensions of colloidal hard spheres. Our study covers an unprecedented density range and spans seven decades…

Structural aspects of crystal nucleation in undercooled liquids are explored using a nonlinear hydrodynamic theory of crystallization proposed recently [G. I. Toth et al., J. Phys.: Condens. Matter 26, 055001 (2014)], which is based on…

Materials Science · Physics 2017-05-24 Frigyes Podmaniczky , Gyula I. Toth , Gyorgy Tegze , Laszlo Granasy