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We present a random walk model that exhibits asymptotic subdiffusive, diffusive, and superdiffusive behavior in different parameter regimes. This appears to be the first instance of a single random walk model leading to all three forms of…

数学物理 · 物理学 2015-05-19 Niraj Kumar , Upendra Harbola , Katja Lindenberg

Using a simple model for the trail formation of ants, the relation between i)the schedule of feeding which represents the unsteady natural environment, ii)emerging patterns of trails connecting a nest with food resources, and iii)the…

种群与进化 · 定量生物学 2009-11-10 Tomomi Tao , Hiroyuki Nakagawa , Masato Yamasaki , Hiraku Nishimori

Cross-country soaring flights rely on intermittent atmospheric updrafts to cover long distances, producing trajectories that alternate between rapid relocation and local exploration. From a large dataset of paraglider, hang glider, and…

统计力学 · 物理学 2026-01-06 Jérémie Vilpellet , Alexandre Darmon , Michael Benzaquen

This work proposes a data-driven approach for bifurcation analysis in nonlinear systems when the governing differential equations are not available. Specifically, regularized regression with barrier terms is used to learn a homeomorphism…

系统与控制 · 电气工程与系统科学 2023-12-12 Wentao Tang

We study the dynamics of a starving random walk in general spatial dimension $d$. This model represents an idealized description for the fate of an unaware forager whose motion is not affected by the presence or absence of resources. The…

统计力学 · 物理学 2016-11-15 O. Bénichou , M. Chupeau , S. Redner

Detecting anomalies in poultry houses is crucial for maintaining optimal chicken health conditions, minimizing economic losses and bolstering profitability. This paper presents a novel real-time framework for analyzing chicken behavior in…

计算机视觉与模式识别 · 计算机科学 2024-01-23 Tahereh Zarrat Ehsan , Seyed Mehdi Mohtavipour

Levy flights are known to be optimal search strategies in the particular case of revisitable targets. In the relevant situation of non revisitable targets, we propose an alternative model of bidimensional search processes, which explicitly…

统计力学 · 物理学 2009-11-11 O. Benichou , C. Loverdo , M. Moreau , R. Voituriez

We introduce a general class of autoregressive models for studying the dynamic of multivariate binary time series with stationary exogenous covariates. Using a high-level set of assumptions, we show that existence of a stationary path for…

统计理论 · 数学 2024-07-16 Guillaume Franchi , Lionel Truquet

The standard diffusive spreading, characterized by a Gaussian distribution with mean square displacement that grows linearly with time, can break down, for instance, under the presence of correlations and heterogeneity. In this work, we…

统计力学 · 物理学 2021-10-27 M. A. F. dos Santos , E. H. Colombo , C. Anteneodo

We propose a simple adaptive-network model describing recent swarming experiments. Exploiting an analogy with human decision making, we capture the dynamics of the model by a low-dimensional system of equations permitting analytical…

无序系统与神经网络 · 物理学 2011-07-15 Cristián Huepe , Gerd Zschaler , Anne-Ly Do , Thilo Gross

Random walks are studied on disordered cellular networks in 2-and 3-dimensional spaces with arbitrary curvature. The coefficients of the evolution equation are calculated in term of the structural properties of the cellular system. The…

无序系统与神经网络 · 物理学 2009-10-28 Tomaso Aste

In this work, we investigate the large-scale transport properties of a passive scalar advected by a turbulent fluid, modelled as a superposition of divergence-free vector fields, each weighted by an independent symmetric…

数学物理 · 物理学 2026-02-25 Paolo Cifani , Franco Flandoli , Lorenzo Marino

The nature of diffusion is usually studied for particles or time-evolving systems. Similar in principle, such studies can be conducted by tracking how a given function of observable properties evolves over time-akin to the evolution of…

统计力学 · 物理学 2026-03-10 M. Süzen

Quantifying how spatial disorder affects the movement of a diffusing particle or agent is fundamental to target search studies. When diffusion occurs on a network, that is on a highly disordered environment, we lack the mathematical tools…

统计力学 · 物理学 2025-08-15 Daniel Marris , Chittaranjan Hens , Subrata Ghosh , Luca Giuggioli

We develop simple diffusion-advection models to estimate the average time it takes fish to reach one of the boundaries of an enclosure and the population distribution over time moving in the enclosure (such as a lake or slough). We start…

偏微分方程分析 · 数学 2019-09-18 Stephen Tennenbaum , John Gatto , Joel Trexler

Flying animals resort to fast, large-degree-of-freedom motion of flapping wings, a key feature that distinguishes them from rotary or fixed-winged robotic fliers with limited motion of aerodynamic surfaces. However, flapping-wing…

流体动力学 · 物理学 2021-08-11 Yagiz E. Bayiz , Bo Cheng

Single-particle traces of the diffusive motion of molecules, cells, or animals are by-now routinely measured, similar to stochastic records of stock prices or weather data. Deciphering the stochastic mechanism behind the recorded dynamics…

统计力学 · 物理学 2023-09-14 Henrik Seckler , Janusz Szwabinski , Ralf Metzler

We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently…

斑图形成与孤子 · 物理学 2013-05-29 V. N. Biktashev , M. A. Tsyganov

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

统计力学 · 物理学 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

We present experimental results obtained for a one-dimensional flow using high precision motion capture. The full pedestrians' trajectories are obtained. In this paper, we focus on the fundamental diagram, and on the relation between the…

物理与社会 · 物理学 2012-03-30 Asja Jelić , Cécile Appert-Rolland , Samuel Lemercier , Julien Pettré