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We study a system, where a random flow of customers is served by servers (called agents) invited on-demand. Each invited agent arrives into the system after a random time; after each service completion, an agent returns to the system or…

概率论 · 数学 2017-11-28 Lam M. Nguyen , Alexander Stolyar

We numerically study a one dimensional, nonlinear lattice model which in the linear limit is relevant to the study of bending (flexural) waves. In contrast with the classic one dimensional mass-spring system, the linear dispersion relation…

Recent experiments show that quasi-one-dimensional lattices of self-propelled droplets exhibit collective instabilities in the form of out-of-phase oscillations and solitary-like waves. This hydrodynamic lattice is driven by the external…

流体动力学 · 物理学 2020-10-20 Stuart J. Thomson , Matthew Durey , Rodolfo R. Rosales

We introduce a simple lattice model of traffic flow in a city where drivers optimize their route-selection in time in order to avoid traffic jams, and study its phase structure as a function of the density of vehicles and of the drivers'…

统计力学 · 物理学 2015-06-24 A. De Martino , M. Marsili , R. Mulet

The naming game (NG) describes the agreement dynamics of a population of agents that interact locally in a pairwise fashion, and in recent years statistical physics tools and techniques have greatly contributed to shed light on its rich…

物理与社会 · 物理学 2011-04-13 Andrea Baronchelli

We present a one-dimensional model for diffusion in a fluctuating lattice; that is a lattice which can be in two or more states. Transitions between the lattice states are induced by a combination of two processes: one periodic…

统计力学 · 物理学 2007-05-23 Jorge A. Revelli , Carlos. E. Budde , Horacio S. Wio

By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

统计力学 · 物理学 2009-11-10 Martin Treiber , Dirk Helbing

We study the duration of "high-flow states" in freeway traffic, defined as the time periods for which traffic flows exceed a given flow threshold. Our empirical data are surprisingly well represented by a power law. Moreover, the power law…

物理与社会 · 物理学 2008-07-24 Dirk Helbing , Benno Tilch

We investigate the dynamics of football matches. Our goal is to characterize statistically the temporal sequence of ball movements in this collective sport game, searching for traits of complex behavior. Data were collected over a variety…

数据分析、统计与概率 · 物理学 2009-11-13 R. S. Mendes , L. C. Malacarne , C. Anteneodo

We study a few dynamical systems composed of many components whose sizes evolve according to multiplicative stochastic rules. We compare them with respect to the emergence of power laws in the size distribution of their components. We show…

统计力学 · 物理学 2007-05-23 Aharon Blank , Sorin Solomon

A recently developed Shastry's formalism for energy transport is used to analyze the temporal and spatial behaviors of the energy and heat transport in metals under delta function excitation at the surface. Comparison with Cattaneo's model…

介观与纳米尺度物理 · 物理学 2010-10-14 Younes Ezzahri , Karl Joulain , Ali Shakouri

We study the effect of reaction times on the kinetics of relaxation to stationary states and on congestion transitions in heterogeneous traffic. Heterogeneity is modeled as quenched disorders in the parameters of the car following model and…

物理与社会 · 物理学 2021-03-10 A. Sai Venkata Ramana , Saif Eddin Jabari

We consider the problem of customer equilibrium strategies in an M/M/1 queue under dynamic service control. The service rate switches between a low and a high value depending on system congestion. Arriving customers do not observe the…

最优化与控制 · 数学 2011-12-07 Y. Dimitrakopoulos , A. Burnetas

The indoor radio propagation channel is typically modeled as a two-state time-variant process where one of the states represents the channel when the environment is static, whereas the other state characterizes the medium when it is altered…

其他计算机科学 · 计算机科学 2014-02-28 Ossi Kaltiokallio , Hüseyin Yiğitler , Riku Jäntti

We formulate and study a general time-varying multi-agent system where players repeatedly compete under incomplete information. Our work is motivated by scenarios commonly observed in online advertising and retail marketplaces, where agents…

计算机科学与博弈论 · 计算机科学 2025-05-27 Ludovico Crippa , Yonatan Gur , Bar Light

Walking is a fundamental activity of our daily life not only for moving to other places but also for interacting with surrounding environment. While walking on the streets, pedestrians can be aware of attractions like shopping windows. They…

物理与社会 · 物理学 2015-07-30 Jaeyoung Kwak , Hang-Hyun Jo , Tapio Luttinen , Iisakki Kosonen

We investigate the emergent collective dynamics of LLM-based multi-agent systems on a 2D square lattice and present a model-agnostic statistical-physics method to disentangle social conformity from intrinsic bias, compute critical…

统计力学 · 物理学 2026-05-12 Cristiano De Nobili

Local detailed balance (LDB) is a central guiding principle for modeling nonequilibrium stochastic dynamics, yet it only constrains the ratio of forward and backward transition rates and does not fix the steady state. Although the…

统计力学 · 物理学 2026-05-26 Takahiro Kanazawa , Kyogo Kawaguchi , Kyosuke Adachi

We study synchronization in a system of phase-only oscillators residing on the sites of a one-dimensional periodic lattice. The oscillators interact with a strength that decays as a power law of the separation along the lattice length and…

混沌动力学 · 物理学 2013-12-04 Shamik Gupta , Max Potters , Stefano Ruffo

In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd - usually a fixed…

动力系统 · 数学 2025-04-03 Laura Bartoli , Simone Cacace , Emiliano Cristiani , Roberto Ferretti