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We study the Metropolis dynamics of the simplest mean-field spin glass model, the Random Energy Model. We show that this dynamics exhibits aging by showing that the properly rescaled time change process between the Metropolis dynamics and a…

概率论 · 数学 2015-02-17 Jiří Černý , Tobias Wassmer

Unlike atoms, colloidal particles are not identical, but can only be synthesised within a finite size tolerance. Colloids are therefore polydisperse, i.e. mixtures of infinitely many components with sizes drawn from a continuous…

软凝聚态物质 · 物理学 2009-11-07 R. M. L. Evans , C. B. Holmes

Gillis model, introduced more than 60 years ago, is a non-homogeneous random walk with a position dependent drift. Though parsimoniously cited both in the physical and mathematical literature, it provides one of the very few examples of a…

统计力学 · 物理学 2020-11-13 Manuele Onofri , Gaia Pozzoli , Mattia Radice , Roberto Artuso

We rigorously analyze the low temperature non-equilibrium dynamics of the East model, a special example of a one dimensional oriented kinetically constrained particle model, when the initial distribution is different from the reversible one…

数学物理 · 物理学 2015-05-20 A. Faggionato , F. Martinelli , C. Roberto , C. Toninelli

The common perception is that strong coupling to the environment will always render the evolution of the system density matrix quasi-classical (in fact, diffusive) in the long time limit. We present here a counter-example, in which a…

其他凝聚态物理 · 物理学 2007-05-23 Nikolay Prokof'ev , Philip Stamp

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 study the intermittent dynamics and the fluctuations of the dynamic correlation function of a simple aging system. Given its size $L$ and its coherence length $\xi$, the system can be divided into $N$ independent subsystems, where…

无序系统与神经网络 · 物理学 2016-08-31 Estelle Pitard

We present a new time-dependent Density Functional approach to study the relaxational dynamics of an assembly of interacting particles subject to thermal noise. Starting from the Langevin stochastic equations of motion for the velocities of…

统计力学 · 物理学 2016-08-31 Umberto Marini Bettolo Marconi , Pedro Tarazona

(Abridged) We discuss the probability distribution function (PDF) of column density resulting from density fields with lognormal PDFs, applicable to isothermal gas (e.g., probably molecular clouds). We suggest that a ``decorrelation…

天体物理学 · 物理学 2009-11-06 Enrique Vazquez-Semadeni , Nieves Garcia

In this study, we use discrete dislocation dynamics (DDD) simulation to investigate the effect of heterogeneous dislocation density on the transition between quasi-elastic deformation and plastic flow in face-centered cubic single crystals.…

材料科学 · 物理学 2019-07-24 Xu Zhang , Jian Xiong , Haidong Fan , Michael Zaiser

We summarize studies of growing lengths in different aging systems. The article is structured as follows. We recall the definition of a number of observables, typically correlations and susceptibilities, that give access to dynamic and…

统计力学 · 物理学 2010-10-04 Federico Corberi , Leticia F. Cugliandolo , Hajime Yoshino

The isothermal dynamical evolution of a clumpy and turbulent molecular cloud region and its fragmentation into a protostellar cluster is investigated numerically. The effect of different initial density and velocity distributions, generated…

天体物理学 · 物理学 2008-11-26 Ralf S. Klessen , Andreas Burkert

We study the formation, evolution and collapse of dense cores by tracking structures in a magnetohydrodynamic simulation of a star-forming cloud. We identify cores using the dendrogram algorithm and utilize machine learning techniques,…

Experiments and simulations have established that dynamics in a class of living and abiotic systems that are far from equilibrium exhibit super diffusive behavior at long times, which in some cases (for example evolving tumor) is preceded…

统计力学 · 物理学 2019-03-06 Himadri S. Samanta , D. Thirumalai

Dynamical heterogeneities have been introduced in the context of the glass transition of molecular liquids and the lengthscale associated with them has been argued to be at the origin of the observed quasi-universal behaviour of glassy…

软凝聚态物质 · 物理学 2015-03-17 Olivier Dauchot , Douglas J. Durian , Martin van Hecke

The aging effects of a 'diffusing glass', a single elastic string diffusing in a two-dimensional disordered media assisted by thermal noise are studied by Monte Carlo (MC) simulations. We find for the first time convincing numerical…

无序系统与神经网络 · 物理学 2009-10-31 Hajime Yoshino

We study generalised anomalous diffusion processes whose diffusion coefficient $D(x,t)\sim D_0|x|^{\alpha}t^{\beta}$ depends on both the position $x$ of the test particle and the process time $t$. This process thus combines the features of…

统计力学 · 物理学 2015-02-06 Andrey G. Cherstvy , Ralf Metzler

As approaching the glass transition, particle motion in liquids becomes highly heterogeneous and regions with virtually no mobility coexist with liquid-like domains. This complex dynamics is believed to be responsible for different…

软凝聚态物质 · 物理学 2018-03-28 F. Puosi , N. Jakse , A. Pasturel

We introduce a new and robust approach for characterizing spatially and temporally heterogeneous behavior within a system based on the evolution of dynamic fuctuations once averaged over different space lengths and time scales. We apply it…

无序系统与神经网络 · 物理学 2018-07-04 J. Ariel Rodriguez Fris , Eric R. Weeks , Francesco Sciortino , Gustavo A. Appignanesi

The mechanism of diffusing diffusivity predicts that, in environments where the diffusivity changes gradually, the displacement distribution becomes non-Gaussian, even though the mean-squared displacement (MSD) grows linearly with time.…

统计力学 · 物理学 2017-10-18 Mpumelelo Matse , Mykyta V. Chubynsky , John Bechhoefer
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