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Collection of self-propelled particles (SPPs) exhibit coherent motion and show true long-range order in two-dimensions. Inhomogeneity, in general destroys the usual long-range order of the polar SPPs. We model a system of polar…

软凝聚态物质 · 物理学 2021-10-08 Jay Prakash Singh , Sameer Kumar , Shradha Mishra

We study the collective behavior of a polar flock in an inhomogeneous environment in two-dimensions. The inhomogeneity is modelled by introducing regions at random locations on the substrate with higher noise but accessible for the flock to…

软凝聚态物质 · 物理学 2025-11-17 Anish Kumar , Vivek Semwal , Shradha Mishra

We present a detailed study of the large-scale collective properties of self-propelled particles (SPPs) moving in two-dimensional heterogeneous space. The impact of spatial heterogeneities on the ordered, collectively moving phase is…

生物物理 · 物理学 2015-08-10 Oleksandr Chepizhko , Fernando Peruani

In this study, we introduce a minimal model for a collection of polar self-propelled particles (SPPs) on a two-dimensional substrate where each particle has a different ability to interact with its neighbours. The SPPs interact through a…

统计力学 · 物理学 2021-02-02 Jay Prakash Singh , Sudipta Pattanayak , Shradha Mishra

We study the effect of spatial heterogeneity on the collective motion of self-propelled particles (SPPs). The heterogeneity is modeled as a random distribution of either static or diffusive obstacles, which the SPPs avoid while trying to…

生物物理 · 物理学 2013-06-10 Oleksandr Chepizhko , Eduardo G. Altmann , Fernando Peruani

As the constituent particles of a flock are polar and in a driven state, their interactions must, in general, be fore-aft asymmetric and non-reciprocal. Within a model that explicitly retains the classical spin angular momentum field of the…

We study a collection of polar self-propelled particles (SPPs) on a two-dimensional substrate in the presence of random quenched rotators. These rotators act like obstacles which rotate the orientation of the SPPs by an angle determined by…

统计力学 · 物理学 2018-12-19 Rakesh Das , Manoranjan Kumar , Shradha Mishra

We consider a three dimensional, generalized version of the original SPP model for collective motion. By extending the factors influencing the ordering, we investigate the case when the movement of the self-propelled particles (SPP-s)…

统计力学 · 物理学 2009-02-11 Peter Szabo , Mate Nagy , Tamas Vicsek

Natural systems are inextricably affected by noise. Within recent decades, the manner in which noise affects the collective behavior of self-organized systems, specifically, has garnered considerable interest from researchers and developers…

最优化与控制 · 数学 2016-07-12 Ge Chen

Fish, birds, insects and robots frequently swim or fly in groups. During their 3 dimensional collective motion, these agents do not stop, they avoid collisions by strong short-range repulsion, and achieve group cohesion by weak long-range…

软凝聚态物质 · 物理学 2018-07-04 Illes J. Farkas , Shuo-Hong Wang

We investigate the collective behavior of self-propelled particles (SPPs) undergoing competitive processes of pattern formation and rotational relaxation of their self-propulsion velocities. In full accordance with previous work, we observe…

软凝聚态物质 · 物理学 2016-11-08 A. I. Chervanyov , H. Gomez , U. Thiele

The collective behavior of a binary mixture of polar self-propelled particles (SPPs) with different motile properties is studied. The binary mixture consists of slow-moving SPPs (sSPPs) of fixed velocity $v_s$ and fast-moving SPPs (fSPPs)…

软凝聚态物质 · 物理学 2022-08-02 Sagarika Adhikary , S. B. Santra

We show that phase transitions in Ising systems with planar defects, i.e., disorder perfectly correlated in two dimensions are destroyed by smearing. This is caused by effects similar to but stronger than the Griffiths phenomena:…

无序系统与神经网络 · 物理学 2009-11-10 Thomas Vojta

We study the effect of spatial inhomogeneity on quantum information scrambling, a process of spreading and locally hiding quantum information in quantum many-body systems. As a paradigmatic example, we consider the quantum chaotic Ising…

量子物理 · 物理学 2023-05-03 Kanato Goto , Taozhi Guo , Tomoki Nosaka , Masahiro Nozaki , Shinsei Ryu , Kotaro Tamaoka

Ordering dynamics of self-propelled particles in an inhomogeneous medium in two-dimensions is studied. We write coarse-grained hydrodynamic equations of motion for coarse-grained density and velocity fields in the presence of an external…

统计力学 · 物理学 2018-05-09 Rakesh Das , Shradha Mishra , Sanjay Puri

The current paper is concerned with positive stationary solutions and spatial spreading speeds of KPP type evolution equations with random or nonlocal or discrete dispersal in locally spatially inhomogeneous media. It is shown that such an…

动力系统 · 数学 2014-11-07 Liang Kong , Wenxian Shen

The cohesive collective motion (flocking, swarming) of autonomous agents is ubiquitously observed and exploited in both natural and man-made settings, thus, minimal models for its description are essential. In a model with continuous space…

统计力学 · 物理学 2015-01-12 Illes J. Farkas , Jeromos Kun , Yi Jin , Gaoqi He , Mingliang Xu

We study the problem of homogenization for inertial particles moving in a periodic velocity field, and subject to molecular diffusion. We show that, under appropriate assumptions on the velocity field, the large scale, long time behavior of…

统计力学 · 物理学 2009-11-11 G. A. Pavliotis , A. M. Stuart

For a large class of inhomogeneous interacting particle systems (IPS) on a lattice we develop a rigorous method for mapping them onto homogeneous IPS. Our novel approach provides a direct way of obtaining the statistical properties of such…

元胞自动机与格子气 · 物理学 2007-05-23 Michael Blank

This paper is concerned with spreading properties of space-time heterogeneous Fisher--KPP equations in one space dimension. We focus on the case of everywhere favorable environment with three different zones, a left half-line with slow or…

偏微分方程分析 · 数学 2025-11-07 Thomas Giletti , Léo Girardin , Hiroshi Matano
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