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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…

Statistical Mechanics · Physics 2009-11-07 Hui Yin , Bulbul Chakraborty

Physical aging is one of the non-equilibrium phenomena where physical properties change over time due to structural relaxation. Aging in spin glass systems has been explained by a trap model on the temperature-independent energy landscape.…

Statistical Mechanics · Physics 2025-09-08 Ayata Ueno , Tomoko Mizuguchi , Takashi Odagaki

We introduce a model for the dynamic self-organization of the electric grid. The model is characterized by a conserved magnitude, energy, that can travel following the links of the network to satisfy nodes' load. The load fluctuates in time…

Physics and Society · Physics 2016-08-16 Alessandro Scirè , Idán Tuval , Víctor M. Eguíluz

We consider the dynamics of spin facilitated models of glasses in the non-equilibrium aging regime following a sudden quench from high to low temperatures. We briefly review known results obtained for the broad class of kinetically…

Statistical Mechanics · Physics 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

We study the Activated Random Walk model on the one-dimensional ring, in the high density regime. We develop a toppling procedure that gradually builds an environment that can be used to show that activity will be sustained for a long time.…

Probability · Mathematics 2026-04-09 Bernardo N. B. de Lima , Leonardo T. Rolla , Célio Terra

The kinetics of domain growth and aging in conserved order parameter systems, in the presence of short-range interaction, is widely studied. Due to technical difficulties and lack of resources, regarding computation, the dynamics is still…

Statistical Mechanics · Physics 2023-04-12 Soumik Ghosh , Subir K. Das

It has been supposed that the interplay of elasticity and activity plays a key role in triggering the non-equilibrium behaviors in biological systems. However, the experimental model system is missing to investigate the spatiotemporally…

Soft Condensed Matter · Physics 2024-07-31 Tian-liang Xu , Chao-ran Qin , Bin Tang , Jin-cheng Gao , Jiankang Zhou , Kang Chen , Tian Hui Zhang , Wen-de Tian

We study K-processes, which are Markov processes in a denumerable state space, all of whose elements are stable, with the exception of a single state, starting from which the process enters finite sets of stable states with uniform…

Probability · Mathematics 2007-05-23 Luiz Renato Fontes , Pierre Mathieu

A framework for performing event-driven, adaptive time step simulations of systems of rigid bodies interacting under stepped or terraced potentials in which the potential energy is only allowed to have discrete values is outlined. The…

Soft Condensed Matter · Physics 2008-08-11 Ramses van Zon , Jeremy Schofield

Generative models such as diffusion models, excel at capturing high-dimensional distributions with diverse input modalities, e.g. robot trajectories, but are less effective at multi-step constraint reasoning. Task and Motion Planning (TAMP)…

A novel result concerning Raman coupling schemes in the context of trapped ions is obtained. By means of an operator perturbative approach, it is shown that the complete time evolution of these systems (in the interaction picture) can be…

Quantum Physics · Physics 2008-11-26 B. Militello , P. Aniello , A. Messina

When complex systems are driven to extinction by some external factor, their non-stationary dynamics can present an intermittent behaviour between relative tranquility and burst of activity whose consequences are often catastrophic. To…

Physics and Society · Physics 2018-03-21 Juan V Escobar , Isaac Pérez Castillo

Kinetic traps are a notorious problem in equilibrium statistical mechanics, where temperature quenches ultimately fail to bring the system to low energy configurations. Using multifarious self-assembly as a model system, we introduce a…

Statistical Mechanics · Physics 2024-07-15 Saeed Osat , Jakob Metson , Mehran Kardar , Ramin Golestanian

The slow relaxation and aging of glassy systems can be modelled as a Markov process on a simplified rough energy landscape: energy minima where the system tends to get trapped are taken as nodes of a random network, and the dynamics are…

Disordered Systems and Neural Networks · Physics 2020-01-29 Riccardo Giuseppe Margiotta , Reimer Kühn , Peter Sollich

We propose an approach to online model adaptation and control in the challenging case of hybrid and discontinuous dynamics where actions may lead to difficult-to-escape "trap" states, under a given controller. We first learn dynamics for a…

Robotics · Computer Science 2021-02-04 Sheng Zhong , Zhenyuan Zhang , Nima Fazeli , Dmitry Berenson

We show aging of Glauber-type dynamics on the random energy model, in the sense that we obtain the scaling limits of the clock process and of the age process. The latter encodes the Gibbs weight of the configuration occupied by the…

Probability · Mathematics 2013-03-21 Pierre Mathieu , Jean-Christophe Mourrat

We consider the dynamics of a simple one dimensional model and we discuss the phenomenon of aging (i.e., the strong dependence of the dynamical correlation functions over the waiting time). Our model is the so-called random random walk, the…

Condensed Matter · Physics 2009-10-22 Enzo Marinari , Giorgio Parisi

We describe a new complex system model of an evolving production economy. This model is the simplest we can envisage which incorporates the new observation that the rate of an economic production process depends only on the minimum of its…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 A. Ponzi , A. Yasutomi , K. Kaneko

We analyze the coherent dynamics of excitons in three dimensional topologically disordered networks with traps. If the interactions between the nodes of the network are long ranged, i.e., algebraically decaying as a function of the distance…

Quantum Physics · Physics 2010-02-04 Oliver Muelken , Alexander Blumen

This paper investigates the problem of dynamical sampling for graph signals influenced by a constant source term. We consider signals evolving over time according to a linear dynamical system on a graph, where both the initial state and the…

Numerical Analysis · Mathematics 2025-09-23 Le Gong , Longxiu Huang
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