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Microscopic mechanisms of natural processes are frequently understood in terms of random walk models by analyzing local particle transitions. This is because these models properly account for dynamic processes at the molecular level and…

Statistical Mechanics · Physics 2021-06-16 Jaeoh Shin , Alexander M. Berezhkovskii , Anatoly B. Kolomeisky

Diffusion rates through a membrane can be asymmetric, if the diffusing particles are spatially extended and the pores in the membrane have asymmetric structure. This phenomenon is demonstrated here via a deterministic simulation of a…

Statistical Mechanics · Physics 2007-05-23 Norman Packard , Rob Shaw

We study a two-dimensional crystal composed of active units governed by self-alignment. This mechanism induces a torque that aligns a particle's orientation with its velocity and leads to a phase transition from a disordered to a flocking…

Soft Condensed Matter · Physics 2025-06-17 Marco Musacchio , Alexander P. Antonov , Hartmut Löwen , Lorenzo Caprini

The modeling and investigation of the dynamics and configurations of animal groups is a subject of growing attention. In this paper, we present a continuum model of flocking and use it to investigate the reaction of a flock to an obstacle…

Adaptation and Self-Organizing Systems · Physics 2010-04-26 Nicholas A. Mecholsky , Edward Ott , Thomas M. Antonsen

Differential diffusion is a source of instability in population dynamics systems when species diffuse with different rates. Predator-prey systems show this instability only under certain specific conditions, usually requiring Holling-type…

Populations and Evolution · Quantitative Biology 2020-01-01 Luciano Stucchi , Javier Galeano , Desiderio A. Vasquez

We have developed an experimental setup of very simple self-propelled robots to observe collective motion emerging as a result of inelastic collisions only. A circular pool and commercial RC boats were the basis of our first setup, where we…

Intrinsic fluctuations of the proton saturation momentum generate asymmetric rapidity distributions on an event-by-event basis. We argue that the asymmetric component, $\left<a_1^2\right>$, of the orthogonal polynomial decomposition of the…

High Energy Physics - Phenomenology · Physics 2016-03-09 Adam Bzdak , Kevin Dusling

Understanding collective self-organization in active matter, such as bird flocks and fish schools, remains a grand challenge in physics. Interactions that induce alignment are essential for flocking; however, alignment alone is generally…

Soft Condensed Matter · Physics 2025-07-01 Julian Giraldo-Barreto , Viktor Holubec

Axisymmetric disks of eccentric Kepler orbits are vulnerable to an instability which causes orbits to exponentially grow in inclination, decrease in eccentricity, and cluster in their angle of pericenter. Geometrically, the disk expands to…

Earth and Planetary Astrophysics · Physics 2018-09-19 Ann-Marie Madigan , Alexander Zderic , Michael McCourt , Jacob Fleisig

An Ising-type Vicsek model is proposed for collective motion and sudden direction change in a population of self-propelled particles. Particles move on a linear lattice with velocity +1 or -1 in the one-dimensional model. The probability of…

Pattern Formation and Solitons · Physics 2020-01-08 Hidetsugu Sakaguchi , Kazuya Ishibashi

We study the phase diagram of a two component Fermi system with a weak attractive interaction. Our analysis includes the leading order Hartree energy shifts and pairing correlations at finite temperature and chemical potential difference…

Superconductivity · Physics 2009-01-06 Rishi Sharma , Sanjay Reddy

We show, both analytically and numerically, that for a nonlinear system making a transition from one equilibrium state to another under the action of an external time dependent force, the work probability distribution is in general…

Statistical Mechanics · Physics 2009-11-11 Arnab Saha , J. K. Bhattacharjee

Collective animal movements produce spectacular natural phenomena that arise from simple local interactions among group members. Flocks of homing pigeons, Columba livia, provide a useful model for the study of collective motion and decision…

Biological Physics · Physics 2016-10-26 Andrea Flack , Zsuzsa Ákos , Máté Nagy , Tamás Vicsek , Dora Biro

This paper is concerned with reaction-diffusion systems of two symmetric species in spatial dimension one, having two stable symmetric equilibria connected by a symmetric standing front. The first order variation of the speed of this front…

Analysis of PDEs · Mathematics 2017-03-08 Emmanuel Risler

In a description of physical systems with Langevin equations, interacting degrees of freedom are usually coupled through symmetric parameter matrices. This coupling symmetry is a consequence of time-reversal symmetry of the involved…

Statistical Mechanics · Physics 2017-08-09 Benedikt Sabass

Combining model experiments and theory, we investigate the dense phases of polar active matter beyond the conventional flocking picture. We show that above a critical density flocks assembled from self-propelled colloids arrest their…

Soft Condensed Matter · Physics 2019-09-18 Geyer Delphine , Martin David , Tailleur Julien , Denis Bartolo

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…

Soft Condensed Matter · Physics 2021-10-08 Jay Prakash Singh , Sameer Kumar , Shradha Mishra

The ability of migratory birds to orient relative to the Earth's magnetic field is believed to involve a coherent superposition of two spin states of a radical electron pair. However, the mechanism by which this coherence can be maintained…

Biological Physics · Physics 2014-10-22 Zachary B. Walters

We study swimming of small spherical particles who regulate fluid flow on their surface by applying tangential squirming strokes. We derive translational and rotational velocities for any given stroke which is not restricted by axial…

Fluid Dynamics · Physics 2019-02-13 Itzhak Fouxon , Yizhar Or

The constituents in a class of active matter systems change their directions of motion by being influenced by the velocities of the neighbors. Such systems may undergo phase transitions, with respect to ordering in the velocity field, as…

Statistical Mechanics · Physics 2025-02-11 Sohini Chatterjee , Sohom Das , Purnendu Pathak , Tanay Paul , Subir K. Das
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