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Related papers: Simple fluctuations in simple glass formers

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We show that the relaxation dynamics near a glass transition with continuous ergodicity breaking can be endowed with a geometric interpretation based on percolation theory. At mean-field level this approach is consistent with the…

Statistical Mechanics · Physics 2014-09-05 Jeferson J. Arenzon , Antonio Coniglio , Annalisa Fierro , Mauro Sellitto

We introduce an approach to derive an effective scalar field theory for the glass transition; the fluctuating field is the overlap between equilibrium configurations. We apply it to the case of constrained liquids for which the introduction…

Disordered Systems and Neural Networks · Physics 2014-05-07 Giulio Biroli , Chiara Cammarota , Gilles Tarjus , Marco Tarzia

We introduce a family of glassy models having a parameter, playing the role of an interaction range, that may be varied continuously to go from a system of particles in d dimensions to a mean-field version of it. The mean-field limit is…

Statistical Mechanics · Physics 2015-05-27 Romain Mari , Jorge Kurchan

The general fluctuation theory is reviewed with special attention to the role played by different ensembles, and is extended to incorporate stationary metastable states obtained in the long time limit. The fluctuation in a quantity depends…

Statistical Mechanics · Physics 2007-05-23 P. D. Gujrati

We study dissipative phase transition near the critical point for a system with two-photon driving and nonlinear dissipation. The proposed mean-field theory, which explicitly takes into account quantum fluctuations, allowed us to describe…

Quantum Physics · Physics 2022-08-02 V. Yu. Mylnikov , S. O. Potashin , G. S. Sokolovskii , N. S. Averkiev

Within the macroscopic Landau-de Gennes approach, we examine the Gaussian normal mode fluctuations of semi-infinite nematic liquid crystals in a regime of critical wetting. It is argued that surface free-energy potentials that strongly…

Soft Condensed Matter · Physics 2009-10-31 N. B. Ivanov

We review various methods to investigate the statics and the dynamics of collective composition fluctuations in dense polymer mixtures within fluctuating-field approaches. The central idea of fluctuating-field theories is to rewrite the…

Soft Condensed Matter · Physics 2007-05-23 Marcus Mueller , Friederike Schmid

A unified treatment of structural relaxation in a deeply supercooled glassy liquid is developed which extends the existing mode coupling theory (MCT) by incorporating the effects of activated events by using the concepts from the random…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sarika Maitra Bhattacharyya , Biman Bagchi , Peter G. Wolynes

Critical phenomena arise ubiquitously in various context of physics, from condensed matter, high energy physics, cosmology, to biological systems, and consist of slow and long-distance fluctuations near a phase transition or critical point.…

Statistical Mechanics · Physics 2020-07-15 Ryo Hanai , Peter B. Littlewood

Extending Prigogine's ideas to the interior of the system, we generalize mode-coupling theory from a microscopic to a mesoscopic formulation by incorporating the non-equilibrium eigen-phase. The resulting framework resolves two…

Statistical Mechanics · Physics 2026-02-27 Yikun Ren , Feixiang Xu , Ming Lin

All liquids are topologically disordered materials; however, the degree of disorder can vary as a result of internal fluctuations in structure and topology. These fluctuations depend on both the composition and temperature of the system.…

Statistical Mechanics · Physics 2018-08-15 Katelyn A. Kirchner , Seong H. Kim , John C. Mauro

It is widely believed that the emergence of slow glassy dynamics is encoded in a material's microstructure. First-principles theory [mode-coupling theory (MCT)] is able to predict the dramatic slowdown of the dynamics from only static…

Multiple distinct glass states occur in binary hard-sphere mixtures with constituents of very disparate sizes according to the mode-coupling theory of the glass transition (MCT), distinguished by considering whether small particles remain…

Soft Condensed Matter · Physics 2015-05-20 Th. Voigtmann

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

Materials Science · Physics 2009-11-13 Th. Voigtmann

We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences…

Soft Condensed Matter · Physics 2023-12-07 Joseph W. Baron , Giulio Biroli

We study the out-of-equilibrium fluctuation-dissipation (FD) relations in the low temperature, finite time, physical aging regime of two simple models with strong glass behaviour, the Fredrickson-Andersen model and the square-plaquette…

Statistical Mechanics · Physics 2009-11-07 Arnaud Buhot , Juan P. Garrahan

We performed extensive molecular dynamics (MD) simulations, supplemented by Mode Coupling Theory (MCT) calculations, for the Square Shoulder (SS) model, a purely repulsive potential where the hard-core is complemented by a finite shoulder.…

Soft Condensed Matter · Physics 2015-06-15 Gayatri Das , Nicoletta Gnan , Francesco Sciortino , Emanuela Zaccarelli

Recent Molecular Dynamics simulations of glass-forming liquids revealed superdiffusive fluctuations associated with the position of a tracer particle (TP) driven by an external force. Such anomalous response, whose mechanism remains…

We generalize the dynamical - mean field theory (DMFT) by including into the DMFT equations dependence on correlation length of pseudogap fluctuations via additional (momentum dependent) self - energy. This self - energy describes non -…

Strongly Correlated Electrons · Physics 2009-11-11 E. Z. Kuchinskii , I. A. Nekrasov , M. V. Sadovskii

Macroscopic equations arising out of stochastic particle systems in detailed balance (called dissipative systems or gradient flows) have a natural variational structure, which can be derived from the large-deviation rate functional for the…

Mathematical Physics · Physics 2023-10-05 Robert I. A. Patterson , D. R. Michiel Renger , Upanshu Sharma
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