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Related papers: Ideal glass transition in a simple 2D lattice mode…

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We present a model for glassy dynamics in supercooled liquid mixtures. Given the relaxation behavior of individual supercooled liquids, the model predicts the relaxation times of their mixtures as temperature is decreased. The model is…

Statistical Mechanics · Physics 2019-09-11 Shachi Katira , Juan P. Garrahan , Kranthi K. Mandadapu

We show numeric evidence that, at low enough temperatures, the potential energy density of a glass-forming liquid fluctuates over length scales much larger than the interaction range. We focus on the behavior of translationally invariant…

Soft Condensed Matter · Physics 2009-04-21 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

The mode-coupling theory for ideal glass transitions in simple systems is generalized to a theory for the glassy dynamics of molecular liquids using the density fluctuations of the sites of the molecule's constituent atoms as the basic…

Soft Condensed Matter · Physics 2009-11-07 S. -H. Chong , W. Gotze

We give evidence of a clear structural signature of the glass transition, in terms of a static correlation length with the same dependence on the system size which is typical of critical phenomena. Our approach is to introduce an external,…

Statistical Mechanics · Physics 2010-06-25 Majid Mosayebi , Emanuela Del Gado , Patrick Ilg , Hans Christian Ottinger

We introduce an extension of the lattice model of melting of semiflexible polymers originally proposed by Flory. Along with a bending penalty, present in the original model and involving three sites of the lattice, we introduce an…

Soft Condensed Matter · Physics 2009-11-10 Andrea Corsi , P. D. Gujrati

Using mean-field approximations, this paper identifies a phase transition in a three-dimensional Electron Glass lattice model. The density of states of the eigenvalue distribution of the inverse susceptibility matrix is used to identify the…

Disordered Systems and Neural Networks · Physics 2023-08-02 Preeti Bhandari , Vikas Malik

Large-scale simulations have been performed on the current-driven two-dimensional XY gauge glass model with resistively-shunted-junction dynamics. It is observed that the linear resistivity at low temperatures tends to zero, providing…

Superconductivity · Physics 2009-11-13 Qing-Hu Chen , Jian-Ping Lv , Huan Liu

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

Disordered Systems and Neural Networks · Physics 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

We present here new evidence that after a quench the planar Potts model on the square lattice relaxes towards a glassy state if the number of states q is larger than four. By extrapolating the finite size data we compute the average energy…

Statistical Mechanics · Physics 2007-05-23 Mario J. de Oliveira , Alberto Petri , Tania Tome

The interplay between the structural relaxation and the rheological response of a binary LJ glass former is studied via MD simulations. In the quiescent state, the model is well known for its sluggish dynamics and a two step relaxation of…

Soft Condensed Matter · Physics 2015-05-14 Fathollah Varnik

In this article we study a simple, purely topological, cellular model which is allowed to evolve through a Glauber-Kawasaki process. We find a non-thermodynamic transition to a glassy phase in which the energy (defined as the square of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Lexie Davison , David Sherrington

Because of the negative inclination of the solid-liquid phase separation line in water, ice Ih melts on compression. On further increase in pressure the liquid water transforms into a high density metastable glassy state, characterized by a…

Soft Condensed Matter · Physics 2021-04-22 Saumyak Mukherjee , Biman Bagchi

We consider a simple model of a structural glass, represented by a lattice gas with kinetic constraints in contact with a particle reservoir. Quench below the glass transition is represented by the jump of the chemical potential above a…

Statistical Mechanics · Physics 2007-05-23 Luca Peliti , Mauro Sellitto

We calculate thermodynamic properties of a disordered model insulator, starting from the ideal simple-cubic lattice ($g = 0$) and increasing the disorder parameter $g$ to $\gg 1/2$. As in earlier Einstein- and Debye- approximations, there…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. M. Yanez , M. I. Molina , D. C. Mattis

Glass-forming liquids have only a modest tendency to crystallize and hence their dynamics can be studied even below the melting temperature. The relaxation dynamics of most of these liquids shows at a temperature $T_c$, somewhat above the…

Soft Condensed Matter · Physics 2025-01-17 Francesco Rusciano , Raffaele Pastore , Francesco Greco , Walter Kob

Recent experiments and computer simulations show that supercooled liquids around the glass transition temperature are "dynamically heterogeneous" [1]. Such heterogeneity is expected from the random first order transition theory of the glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xiaoyu Xia , Peter G. Wolynes

We study the orientational dynamics of infinitely thin hard rods of length L, with the centers-of-mass fixed on a simple cubic lattice with lattice constant a.We approximate the influence of the surrounding rods onto dynamics of a pair of…

Soft Condensed Matter · Physics 2009-11-07 Rolf Schilling , Grzegorz Szamel

We introduce a lattice model of glass transition in polymer globules. This model exhibits a novel scenario of ergodicity breaking in which the disjoint regions of phase space do not arise uniformly, but as small chambers whose number…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rose Du , Alexander Yu. Grosberg , Toyoichi Tanaka , Michael Rubinstein

We discuss some generic features of the dynamics of glass-forming liquids close to the glass transition singularity of the idealized mode-coupling theory (MCT). The analysis is based on a recent model by one of the authors for the…

Statistical Mechanics · Physics 2015-10-07 Tommaso Rizzo , Thomas Voigtmann

We study a schematic mode-coupling model in which the ideal glass transition is cut off by a decay of the quadratic coupling constant in the memory function. (Such a decay, on a time scale tau_I, has been suggested as the likely consequence…

Statistical Mechanics · Physics 2007-05-23 M. J. Greenall , M. E. Cates