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We consider close-packed tiling models of geometric objects -- a mixture of hardcore dimers and plaquettes -- as a generalisation of the familiar dimer models. Specifically, on an anisotropic cubic lattice, we demand that each site be…

强关联电子 · 物理学 2022-10-12 Yizhi You , Roderich Moessner

The influence of crowding on the diffusion of tagged particles in a dense medium is investigated in the framework of a mean-field model, derived in the continuum limit from a microscopic stochastic process with exclusion. The probability…

统计力学 · 物理学 2015-06-19 Marta Galanti , Duccio Fanelli , Amos Maritan , Francesco Piazza

Competition between biological species in marine environments is affected by the motion of the surrounding fluid. An effective 2D compressibility can arise, for example, from the convergence and divergence of water masses at the depth at…

种群与进化 · 定量生物学 2019-01-24 Abigail Plummer , Roberto Benzi , David R. Nelson , Federico Toschi

Turbulent separated flows in axisymmetric expansions can sustain fundamentally different transport organization despite nearly identical mean topology. Using stereo-PIV and time-resolved planar PIV, we compare abrupt $90^\circ$ (step) and…

流体动力学 · 物理学 2026-03-23 Jibu Tom Jose , Gal Friedmann , Omri Ram

A major challenge in the study of active matter lies in quantitative characterization of phases and transitions between them. We show how the entropy of a collection of active objects can be used to classify regimes and spatial patterns in…

软凝聚态物质 · 物理学 2024-07-11 Benjamin Sorkin , Avraham Be'er , Haim Diamant , Gil Ariel

The collective behavior of active agents, whether herds of wildebeest or microscopic actin filaments propelled by molecular motors, is an exciting frontier in biological and soft matter physics. Almost three decades ago, Toner and Tu…

软凝聚态物质 · 物理学 2023-08-25 Christina L. Hueschen , Alexander R. Dunn , Rob Phillips

Strongly interacting, dynamically disordered and with no small parameter, liquids took a theoretical status between gases and solids. We review different approaches to liquids and propose that liquids do not need classifying in terms of…

软凝聚态物质 · 物理学 2016-01-13 K. Trachenko , V. V. Brazhkin

We provide a mathematical analysis of appearance of the concentrations (as Dirac masses) of the solution to a Fokker-Planck system with asymmetric potentials. This problem has been proposed as a model to describe motor proteins moving along…

偏微分方程分析 · 数学 2007-05-23 Benoit Perthame , Panagiotis E. Souganidis

We consider a cantilevered (clamped-free) beam in an axial potential flow. Certain flow velocities may bring about a bounded-response instability in the structure, termed {\em flutter}. As a preliminary analysis, we employ the theory of…

偏微分方程分析 · 数学 2017-07-25 Jason Howell , Daniel Toundykov , Justin T. Webster

Groups of animals often tend to arrange themselves in flocks that have characteristic spatial attributes and temporal dynamics. Using a dynamic continuum model for a flock of individuals, we find equilibria of finite spatial extent where…

适应与自组织系统 · 物理学 2012-01-16 Nicholas A. Mecholsky , Edward Ott , Thomas M. Antonsen , Parvez Guzdar

We present a comprehensive computational study of the collective behavior emerging from the competition between self-propulsion, excluded volume interactions and velocity-alignment in a two-dimensionnal model of active particles. We…

软凝聚态物质 · 物理学 2018-01-08 Aitor Martín-Gómez , Demian Levis , Albert Díaz-Guilera , Ignacio Pagonabarraga

We study the Cucker-Smale model with a velocity control function. The Cucker-Smale model design the emergence of consensus in terms of flocking. A proposed model encompasses several Cucker-Smale models, such as a speed limit model, a…

经典分析与常微分方程 · 数学 2023-02-08 Junhyeok Byeon

We study the effects of animal social networks with a weighted pattern of interactions on the flocking transition exhibited by models of self-organized collective motion. Considering a model representing dynamics on a one-dimensional…

物理与社会 · 物理学 2022-10-19 Jaume Ojer , Romualdo Pastor-Satorras

We propose a statistical model for static and sliding friction between rough surfaces. Approximating the contact between rough surfaces by the contact of an ensemble of one-dimensional viscoelastic elements with a rough rigid surface, we…

软凝聚态物质 · 物理学 2015-06-19 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

We study the collective dynamics of elongated swimmers in a very thin fluid layer by devising long, filamentous, non-tumbling bacteria. The strong confinement induces weak nematic alignment upon collision, which, for large enough density of…

统计力学 · 物理学 2017-02-22 Daiki Nishiguchi , Ken H. Nagai , Hugues Chaté , Masaki Sano

In microbial communities, each species often has multiple, distinct phenotypes, but studies of ecological stability have largely ignored this subpopulation structure. Here, we show that such implicit averaging over phenotypes leads to…

种群与进化 · 定量生物学 2020-05-20 Pierre A. Haas , Nuno M. Oliveira , Raymond E. Goldstein

In this paper we consider a nonlinear Fokker-Planck equation with asymptotically small parameters. It describes the diffusion of finite-size particles in the presence of a fixed distribution of obstacles in the limit of low-volume fraction.…

偏微分方程分析 · 数学 2018-06-04 Maria Bruna , Martin Burger , Helene Ranetbauer , Marie-Therese Wolfram

It is shown how to explicitly coarse-grain the microscopic dynamics of the Vicsek model for self-propelled agents. The macroscopic transport equations are derived by means of an Enskog-type kinetic theory. Expressions for all transport…

生物物理 · 物理学 2015-02-24 Thomas Ihle

We investigate the coherent population trapping resonance induced by a polychromatic optical field with an asymmetric spectrum, i.e., whose sidebands equidistant from the carrier have unequal powers. A situation is considered where a…

Effect of internal chirality on collective motion of a large number of active objects is studied by simulations of appropriately modified Vicsek model. We add a fixed angle to the noise and consider small ratios, $p$, between this angle and…

软凝聚态物质 · 物理学 2026-03-31 W. T. Gozdz , A. Ciach