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A simple, non-disordered spin model has been studied in an effort to understand the origin of the precipitous slowing down of dynamics observed in supercooled liquids approaching the glass transition. A combination of Monte Carlo…

统计力学 · 物理学 2009-11-07 Hui Yin , Bulbul Chakraborty

The low temperature Monte Carlo dynamics of an ensemble of linear harmonic oscillators shows some entropic barriers related to the difficulty of finding the directions in configurational space which decrease the energy. This mechanism is…

统计力学 · 物理学 2015-06-25 L. L. Bonilla , F. G. Padilla , F. Ritort

Entropic aging consists in a progressive slowing down of the low-temperature dynamics of a glassy system due to the rarefaction of downwards directions on the energy landscape, as lower and lower energy levels are reached. A prototypical…

统计力学 · 物理学 2010-07-23 Eric Bertin

We introduce a model for the slow relaxation of an energy landscape caused by its local interaction with a random walker whose motion is dictated by the landscape itself. By choosing relevant measures of time and potential this…

统计力学 · 物理学 2015-06-24 Janos Torok , Supriya Krishnamurthy , Janos Kertesz , Stephane Roux

Recently, different numerical studies of coarsening in disordered systems have shown the existence of a crossover from an initial, transient, power-law domain growth to a slower, presumably logarithmic, growth. However, due to the very slow…

统计力学 · 物理学 2013-04-01 Nasrin Afzal , Michel Pleimling

Low-dimensional, complex systems are often characterized by logarithmically slow dynamics. We study the generic motion of a labeled particle in an ensemble of identical diffusing particles with hardcore interactions in a strongly…

The description of activated relaxation of glassy systems in the multidimensional configurational space is a long-standing open problem. We develop a phenomenological description of the out-of-equilibrium dynamics of a model with a rough…

无序系统与神经网络 · 物理学 2014-10-09 Chiara Cammarota , Enzo Marinari

Aging is thought to be a consequence of intrinsic breakdowns in how genetic information is processed. But mounting experimental evidence suggests that aging can be slowed. To help resolve this mystery, I derive a mortality equation which…

种群与进化 · 定量生物学 2022-09-01 Thomas Fink

The relaxation dynamics of many disordered systems, such as structural glasses, proteins, granular materials or spin glasses, is not completely frozen even at very low temperatures. This residual motion leads to a change of the properties…

软凝聚态物质 · 物理学 2009-10-31 Walter Kob , Francesco Sciortino , Piero Tartaglia

The non-equilibrium dynamics of a one-dimensional Ising model with uniform, short-ranged three-spin interactions is investigated. It is shown that this model possesses an exponentially large number of metastable configurations that are…

凝聚态物理 · 物理学 2007-05-23 J. Kisker H. Rieger , M. Schreckenberg

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

We investigate the aging behavior of lattice-gas models with constrained dynamics in which particle exchange with a reservoir is allowed. Such models provide a particularly simple interpretation of aging phenomena as a slow approach to…

统计力学 · 物理学 2009-10-30 Jorge Kurchan , Luca Peliti , Mauro Sellitto

In this paper we consider an exactly solvable model which displays glassy behavior at zero temperature due to entropic barriers. The new ingredient of the model is the existence of different energy scales or modes associated to different…

统计力学 · 物理学 2009-11-07 L. Leuzzi , F. Ritort

We provide evidence of an extremely slow thermalization occurring in the Discrete NonLinear Schr\"odinger (DNLS) model. At variance with many similar processes encountered in statistical mechanics - typically ascribed to the presence of…

统计力学 · 物理学 2019-03-04 Stefano Iubini , Liviu Chirondojan , Gian-Luca Oppo , Antonio Politi , Paolo Politi

We propose a microscopic model without energy barriers in order to explain some generic features observed in structural glasses. The statics can be exactly solved while the dynamics has been clarified using Monte Carlo calculations.…

凝聚态物理 · 物理学 2009-10-28 Felix Ritort

We investigate the low-temperature dynamics of a simple stochastic model, introduced recently in the context of the physics of glasses. The slowest characteristic time at equilibrium diverges exponentially at low temperature. On smaller…

统计力学 · 物理学 2009-10-30 C Godreche , J M Luck

In this note we study the dynamics of a model recently introduced by one of us, that displays glassy phenomena in absence of energy barriers. Using an adiabatic hypothesis we derive an equation for the evolution of the energy as a function…

凝聚态物理 · 物理学 2009-10-28 S. Franz , F. Ritort

We study and compare equilibrium and aging dynamics on both sides of the ideal glass transition temperature $T_{MCT}$. In the context of a mean field model, we observe that all dynamical behaviors are determined by the energy distance…

无序系统与神经网络 · 物理学 2009-10-06 Alexandre Lefèvre

Symmetry-breaking order at low temperatures is often accompanied by slow relaxation dynamics, due to diverging free-energy barriers arising from interfaces between different ordered states. Here, we extend this correspondence to classical…

统计力学 · 物理学 2026-01-12 Charles Stahl , Benedikt Placke , Vedika Khemani , Yaodong Li

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

物理与社会 · 物理学 2021-08-24 John C. Stevenson
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