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In this paper, we study a spatial model for dormancy in random environment via a two-type branching random walk in continuous-time, where individuals can switch between dormant and active states through spontaneous switching independent of…

Probability · Mathematics 2025-01-08 Helia Shafigh

The nonexponential relaxation and aging inherent to complex dynamics manifested in a wide variety of dissipative systems is analyzed through a model of diffusion in phase space in the presence of a nonconservative force. The action of this…

Statistical Mechanics · Physics 2009-11-11 A. Perez-Madrid

Reversible reaction-diffusion systems display anomalous dynamics characterized by a power-law relaxation toward stationarity. In this paper we study in the aging regime the nonequilibrium dynamical properties of some model systems with…

Statistical Mechanics · Physics 2009-11-13 Vlad Elgart , Michel Pleimling

We analyze a model of interacting agents (e.g. prebiotic chemical species) which are represended by nodes of a network, whereas their interactions are mapped onto directed links between these nodes. On a fast time scale, each agent follows…

Populations and Evolution · Quantitative Biology 2009-11-13 Adrian M. Seufert , Frank Schweitzer

Estimating the effective energy, $E_\text{eff}$ of a stationary probability distribution is a challenge for non-equilibrium steady states. Its solution could offer a novel framework for describing and analyzing non-equilibrium systems. In…

Statistical Mechanics · Physics 2026-02-03 Antonin Brossollet , Etienne Lempereur , Stéphane Mallat , Giulio Biroli

A novel model for dynamical traps in intermittent human control is proposed. It describes probabilistic, step-wise transitions between two modes of a subject's behavior - active and passive phases in controlling an object's dynamics - using…

Adaptation and Self-Organizing Systems · Physics 2025-03-04 Vasily Lubashevskiy , Ihor Lubashevsky , Namik Gusein-zade

The time distribution of relaxation events in an aging system is investigated via molecular dynamics simulations. The focus is on the distribution functions of the first passage time, $p_1(\Delta t)$, and the persistence time, $p(\tau)$. In…

Disordered Systems and Neural Networks · Physics 2015-09-15 Nima H. Siboni , Dierk Raabe , Fathollah Varnik

Trap models are intuitively appealing and often solvable models of glassy dynamics. In particular, they have been used to study aging and the resulting out-of-equilibrium fluctuation-dissipation relations between correlations and response…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter Sollich

We study the fluctuations of time-additive random observables in the stochastic dynamics of a system of $N$ non-interacting Ising spins. We mainly consider the case of all-to-all dynamics where transitions are possible between any two spin…

Statistical Mechanics · Physics 2022-12-28 Juan P. Garrahan , Chokri Manai , Simone Warzel

The increasing difficulties in financing the welfare state and in particular public retirement pensions have been one of the outcomes both of the decrease of fertility and birth rates combined with the increase of life expectancy. The…

General Economics · Economics 2019-09-20 Sérgio Bacelar , Luis Antunes

Traditional energy-based learning models associate a single energy metric to each configuration of variables involved in the underlying optimization process. Such models associate the lowest energy state to the optimal configuration of…

Machine Learning · Computer Science 2020-04-10 Oindrila Chatterjee , Shantanu Chakrabartty

Whereas in typical standardized tests batteries are almost exclusively loaded with constant current or relatively slowly changing cycles, real applications involve rapid load ripple, which do not contribute to the net energy. The trend to…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Tomas Kacetl , Jan Kacetl , Nima Tashakor , Stefan Goetz

This work presents a nonlinear system identification framework for modeling the power extraction dynamics of wind turbines, including both freestream and waked conditions. The approach models turbine dynamics using data-driven power…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Sebastiano Randino , Lorenzo Schena , Nicolas Coudou , Emanuele Garone , Miguel Alfonso Mendez

Based on the study of cellular aging using the single-cell model organism of budding yeast and corroborated by other studies, we propose the Emergent Aging Model (EAM). EAM hypothesizes that aging is an emergent property of complex…

Quantitative Methods · Quantitative Biology 2024-07-09 Hong Qin

Complex network theory provides a unifying framework for the study of structured dynamic systems. The current literature emphasizes a widely reported phenomenon of intermittent interaction among network vertices. In this paper, we introduce…

Social and Information Networks · Computer Science 2025-02-17 Ziyan Zeng , Minyu Feng , Pengfei Liu , Jurgen Kurths

Temporal autocorrelation functions for avalanches in the Bak-Sneppen model display aging behavior similar to glassy systems. Numerical simulations show that they decay as power laws with two distinct regimes separated by a time scale which…

Condensed Matter · Physics 2009-10-30 Stefan Boettcher , Maya Paczuski

By conditioning a stochastic process on the value of an observable, one obtains a new stochastic process with different properties. We apply this idea in the context of active matter, and condition interacting self-propelled particles on…

Statistical Mechanics · Physics 2020-03-04 Francesco Cagnetta , Emil Mallmin

Activity or spin patterns on random scale-free network are studied by mean field analysis and computer simulations. These activity patterns evolve in time according to local majority-rule dynamics which is implemented using (i) parallel or…

Disordered Systems and Neural Networks · Physics 2007-05-23 Haijun Zhou , Reinhard Lipowsky

We numerically investigate the aging dynamics of a monatomic Lennard-Jones glass, focusing on the topology of the potential energy landscape which, to this aim, has been partitioned in basins of attraction of stationary points (saddles and…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Angelani , R. Di Leonardo , G. Parisi , G. Ruocco

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…

Disordered Systems and Neural Networks · Physics 2009-10-06 Alexandre Lefèvre