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A finite range interacting particle system on a transitive graph is considered. Assuming that the dynamics and the initial measure are invariant, the normalized empirical distribution process converges in distribution to a centered…

数学物理 · 物理学 2007-05-23 Paul Doukhan , Gabriel Lang , Sana Louhichi , Bernard Ycart

Transmission lines, crucial to the power grid, are subjected to diverse environmental conditions such as wind, temperature, humidity, and pollution. While these conditions represent a consistent impact on the transmission lines, certain…

数值分析 · 数学 2025-12-03 Prakash KC , Maryam Naghibolhosseini , Mohsen Zayernouri

Network equilibrium models represent a versatile tool for the analysis of interconnected objects and their relationships. They have been widely employed in both science and engineering to study the behavior of complex systems under various…

适应与自组织系统 · 物理学 2024-10-31 Omar Aloui , David Orden , Nizar Bel Hadj Ali , Landolf Rhode-Barbarigos

This paper concerns the potential of corrective actions, such as generation and load dispatch on minimizing the effects of transmission line failures in electric power systems. Three loss functions (grid-centric, consumer-centric, and…

系统与控制 · 电气工程与系统科学 2022-12-13 Siyu Liu , Marija Ilic

Biochemical reaction systems may be viewed as discrete event processes characterized by a number of states and state transitions. These systems may be modeled as state transition systems with transitions representing individual reaction…

化学物理 · 物理学 2017-08-23 Scott M. Bugenhagen , Daniel A. Beard

Nonequilibrium phase transitions are discussed with emphasis on general features such as the role of detailed balance violation in generating effective (long-range) interactions, the importance of dynamical anisotropies, the connection…

统计力学 · 物理学 2007-05-23 Zoltan Racz

Understanding battery degradation in electric vehicles (EVs) under real-world conditions remains a critical yet under-explored area of research. Central to this investigation is the challenge of estimating the specific degradation modes in…

Biological machines like molecular motors and enzymes operate in dynamic cycles representable as stochastic flows on networks. Current stochastic dynamics describes such flows on fixed networks. Here, we develop a scalable approach to…

统计力学 · 物理学 2026-03-02 Ying-Jen Yang , Ken A. Dill

In this paper we perform numerical simulations to study Kauffman cellular automata (KCA) on quasiperiod lattices. In particular, we investigate phase transition, magnetic entropy and propagation speed of the damage on these lattices. Both…

元胞自动机与格子气 · 物理学 2018-06-28 Carlos Handrey A. Ferraz , José Luiz S. Lima

The spread of a particular trait in a cell population often is modelled by an appropriate system of ordinary differential equations describing how the sizes of subpopulations of the cells with the same genome change in time. On the other…

动力系统 · 数学 2016-05-26 J. Banasiak , A. Falkiewicz

We study discrete dynamical systems through the topological concepts of limit set, which consists of all points that can be reached arbitrarily late, and asymptotic set, which consists of all adhering values of orbits. In particular, we…

动力系统 · 数学 2011-10-20 Guillon Pierre , Richard Gaétan

A system is considered, which is subject to external and possibly fatal shocks, with dependence between the fatality of a shock and the system age. Apart from these shocks, the system suffers from competing soft and sudden failures, where…

概率论 · 数学 2014-09-03 Sophie Mercier , H. H. Pham

This paper deals with system with $n$ identical elements and one repairing device. While one element working other ones stay in reserve. The distribution of element working and repairing times are supposed to be exponential. Here we obtain…

综合数学 · 数学 2020-03-04 E. A. Golovastova

The long-time dynamics of the critical contact process which is brought suddenly out of an uncorrelated initial state undergoes ageing in close analogy with quenched magnetic systems. In particular, we show through Monte Carlo simulations…

Randomized experiments are a powerful methodology for data-driven evaluation of decisions or interventions. Yet, their validity may be undermined by network interference. This occurs when the treatment of one unit impacts not only its…

统计方法学 · 统计学 2024-10-08 Sadegh Shirani , Mohsen Bayati

The short-time and long-time dynamics of the Bak-Sneppen model of biological evolution are investigated using the damage spreading technique. By defining a proper Hamming distance measure, we are able to make it exhibits an initial…

统计力学 · 物理学 2007-05-23 U. Tirnakli , M. L. Lyra

Nucleation is an out-of-equilibrium process, which can be strongly affected by the presence of external fields. In this letter, we report a simple extension of classical nucleation theory to systems submitted to an homogeneous shear flow.…

统计力学 · 物理学 2013-06-17 Anatolii V. Mokshin , Bulat N. Galimzyanov , Jean-Louis Barrat

In order to predict the long-term effects of irradiation on the material properties of tungsten, a continuum approach to simulating the interactions of dislocation loops, which arise from radiation damage, is proposed. Continuum models of…

材料科学 · 物理学 2026-04-20 Joseph Duque Lopez , Sergei Dudarev , James Kermode , Thomas Hudson

Living systems operate far from thermodynamic equilibrium. Enzymatic activity can induce broken detailed balance at the molecular scale. This molecular scale breaking of detailed balance is crucial to achieve biological functions such as…

生物物理 · 物理学 2018-05-02 F. Gnesotto , F. Mura , J. Gladrow , C. P. Broedersz

Catastrophic forgetting continues to severely restrict the learnability of controllers suitable for multiple task environments. Efforts to combat catastrophic forgetting reported in the literature to date have focused on how control systems…

机器学习 · 计算机科学 2021-05-07 Joshua Powers , Ryan Grindle , Sam Kriegman , Lapo Frati , Nick Cheney , Josh Bongard