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We compare the spatial correlations of bond-breaking events and bond-orientational relaxation in a model two-dimensional liquid undergoing Newtonian dynamics. We find that the relaxation time of the bond-breaking correlation function is…

统计力学 · 物理学 2016-08-03 Elijah Flenner , Grzegorz Szamel

Hydrodynamics provides a concise but powerful description of long-time and long-distance physics of correlated systems out of thermodynamic equilibrium. Here we construct hydrodynamic equations for nonrelativistic particles with a…

量子气体 · 物理学 2018-12-27 Keisuke Fujii , Yusuke Nishida

The dynamical Mordell-Lang conjecture concerns the structure of the intersection of an orbit in an algebraic dynamical system and an algebraic variety. In this paper, we bound the size of this intersection for various cases when it is…

数论 · 数学 2015-12-29 Alina Ostafe , Min Sha

The notion of fractional dynamics is related to equations of motion with one or a few terms with derivatives of a fractional order. This type of equation appears in the description of chaotic dynamics, wave propagation in fractal media, and…

经典物理 · 物理学 2015-03-19 Vasily E. Tarasov , George M. Zaslavsky

We study dynamic heterogeneities in a model glass-former whose overlap with a reference configuration is constrained to a fixed value. The system phase-separates into regions of small and large overlap, so that dynamical correlations remain…

无序系统与神经网络 · 物理学 2012-07-19 C. Cammarota , A. Cavagna , I. Giardina , G. Gradenigo , T. S. Grigera , G. Parisi , P. Verrocchio

A new class of lattice gas models with trivial interactions but constrained dynamics are introduced. These are proven to exhibit a dynamical glass transition: above a critical density, rho_c, ergodicity is broken due to the appearance of an…

统计力学 · 物理学 2009-11-11 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

The super-cooled $N3$ model exhibits an increasingly slow dynamics as density approaches the model's random closest packing density. Here, we present a direct measurement of the dynamical correlation function $G_4(r,t)$, showing the…

统计力学 · 物理学 2010-12-21 Ziv Rotman , Eli Eisenberg

We identify a link between the glass transition and percolation of mobile regions in configuration space. We find that many hallmarks of glassy dynamics, for example stretched-exponential response functions and a diverging structural…

统计力学 · 物理学 2009-11-13 Gregg Lois , Jerzy Blawzdziewicz , Corey S. O'Hern

The divergence of the correlation length $\xi$ at criticality is an important phenomenon of percolation in two-dimensional systems. Substantial speed-ups to the calculation of the percolation threshold and component distribution have been…

物理与社会 · 物理学 2020-01-22 Michael M. Danziger , Bnaya Gross , Sergey V. Buldyrev

Although glassy relaxation is typically associated with disorder, here we report on a new type of glassy dynamics relating to dislocations within 2-D crystals of colloidal dimers. Previous studies have demonstrated that dislocation motion…

软凝聚态物质 · 物理学 2010-08-12 Sharon J. Gerbode , Umang Agarwal , Desmond C. Ong , Chekesha M. Liddell , Fernando Escobedo , Itai Cohen

We examine the dynamics of hard spheres and discs at high packing fractions in two and three dimensions, modeling the simplest systems exhibiting a glass transition. As it is well known, cooperativity and dynamic heterogeneity arise as…

软凝聚态物质 · 物理学 2007-05-23 Burkhard Doliwa , Andreas Heuer

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in…

The evaluation of the long term stability of a material requires the estimation of its long-time dynamics. For amorphous materials such as structural glasses, it has proven difficult to predict the long-time dynamics starting from static…

软凝聚态物质 · 物理学 2014-05-27 Raffaele Pastore , Antonio Coniglio , Massimo Pica Ciamarra

We investigate the heterogeneous dynamics in a model, where chemical gelation and glass transition interplay, focusing on the dynamical susceptibility. Two independent mechanisms give raise to the correlations, which are manifested in the…

软凝聚态物质 · 物理学 2017-05-09 Antonio de Candia , Annalisa Fierro , Raffaele Pastore , Massimo Pica Ciamarra , Antonio Coniglio

We perform molecular-dynamics simulations of a molecular system in supercooled states for different values of inertia parameters to provide evidence that the long-time dynamics depends only on the equilibrium structure. This observation is…

软凝聚态物质 · 物理学 2009-11-10 S. -H. Chong , F. Sciortino

The synergetic approach proposed here is based on characteristic instability of chemical bonding in the form of the bond wave considered as the spatiotemporal correlation between the elementary acts of bond exchange. In frames of the model,…

材料科学 · 物理学 2024-07-02 Elena A. Chechetkina

Glassy systems are characterized by an extremely sluggish dynamics without any simple sign of long range order. It is a debated question whether a correct description of such phenomenon requires the emergence of a large correlation length.…

统计力学 · 物理学 2009-11-11 Andrea Montanari , Guilhem Semerjian

The Adam-Gibbs (AG) relation connects the dynamics of a glass-forming liquid to its the thermodynamics via. the configurational entropy, and is of fundamental importance in descriptions of glassy behaviour. The breakdown of the…

统计力学 · 物理学 2017-08-09 Anshul D. S. Parmar , Shiladitya Sengupta , Srikanth Sastry

We study concentrated binary colloidal suspensions, a model system which has a glass transition as the volume fraction $\phi$ of particles is increased. We use confocal microscopy to directly observe particle motion within dense samples…

软凝聚态物质 · 物理学 2011-05-20 Takayuki Narumi , Scott V. Franklin , Kenneth W. Desmond , Michio Tokuyama , Eric R. Weeks

There is growing evidence that slow dynamics and dynamic heterogeneity possess structural signatures in glass-forming liquids. However, even in the weakly frustrated glass-forming liquids, whether or not the dynamic heterogeneity has a…

软凝聚态物质 · 物理学 2015-06-11 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An
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