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Pure power-law density profiles, $\rho(r)\propto r^{b-3}$, are classified in connection with the following reference cases: (i) isodensity, $b=3$, $\rho=$ const; (ii) isogravity, $b=2$, $g=$ const; (iii) isothermal, $b=1$,…

Astrophysics of Galaxies · Physics 2017-06-15 R. Caimmi

The exceptional reactivity of animal collectives to predatory attacks is thought to be due to rapid, but local, transfer of information between group members. These groups turn together in unison and produce escape waves. However, it is not…

Populations and Evolution · Quantitative Biology 2015-06-05 James Herbert-Read , Jerome Buhl , Feng Hu , Ashley Ward , David Sumpter

We show that the spin of dark matter induces a gravitational analog of the electromagnetic Faraday effect, where the polarization of gravitational waves undergoes a rotation as they propagate through a dark matter halo with a non-vanishing…

General Relativity and Quantum Cosmology · Physics 2024-09-25 F. Barriga , F. Izaurieta , S. Lepe , P. Mesa , J. Muñoz , C. Quinzacara , O. Valdivia

We analyse collective motion that occurs during rare (large deviation) events in systems of active particles, both numerically and analytically. We discuss the associated dynamical phase transition to collective motion, which occurs when…

Statistical Mechanics · Physics 2021-02-10 Yann-Edwin Keta , Étienne Fodor , Frédéric van Wijland , Michael E. Cates , Robert L. Jack

We construct a general relativity formula for the law of gravity for material bodies. The formula contains three numeric parameters that are to be determined experimentally. If they are chosen from symmetry considerations, then the theory…

Mathematical Physics · Physics 2007-05-23 N. N. Chaus

Tidal forces acting on orbiting bodies arise from inhomogeneities in the gravitational field, generating stresses that can deform or even disrupt these objects. In this work, we analyze relativistic tidal forces associated with ultracompact…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Victor F. C. Vieira , Rafael P. Bernar , Caio F. B. Macedo

We investigate the effect of rotational inertia on the collective phenomena of underdamped active systems and show that the increase of the moment of inertia of each particle favors non-equilibrium phase coexistence, known as motility…

Soft Condensed Matter · Physics 2023-07-19 Lorenzo Caprini , Rahul Kumar Gupta , Hartmut Löwen

This paper proposes an agent-based model which reproduces different structures of animal groups. The shape and structure of the group is the effect of simple interaction rules among individuals: each animal deploys itself depending on the…

Dynamical Systems · Mathematics 2011-03-18 Emiliano Cristiani , Paolo Frasca , Benedetto Piccoli

The two gravitomagnetic effects which influence bodies orbiting around a gravitational source are the geodetic effect and the Lense-Thirring effect. The former describes the precession angle of the axis of a spinning gyroscope while in…

General Relativity and Quantum Cosmology · Physics 2016-10-11 Andrew Finch , Jackson Levi Said

Observed angular positions and redshifts of large-scale structure tracers such as galaxies are affected by gravitational waves through volume distortion and magnification effects. Thus, a gravitational wave background can in principle be…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Donghui Jeong , Fabian Schmidt

In most models of collective motion in animal groups each individual updates its heading based on the current positions and headings of its neighbors. Several authors have investigated the effects of including anticipation into models of…

Quantitative Methods · Quantitative Biology 2021-11-23 Daniel Strömbom , Alice Antia

We consider inertial particles suspended in an incompressible turbulent flow. Due to inertia of particles, their velocity field acquires small compressible component. Its presence leads to a new qualitative effect --- possibility of…

chao-dyn · Physics 2007-05-23 E. Balkovsky , G. Falkovich , A. Fouxon

A fraction of dwarf galaxies in the Virgo cluster contain disk features like bars and spiral arms. Using $N$-body simulations, we investigate the effects of tidal forces on the formation of such disk features in disk dwarf galaxies…

Astrophysics of Galaxies · Physics 2020-01-08 SungWon Kwak , Woong-Tae Kim , Soo-Chang Rey , Thomas R. Quinn

We focus on the interaction of a plane gravitational wave with electromagnetic fields and we describe this interaction in the proper detector frame where, thanks to the introduction of Fermi coordinates, it is possible to refer to directly…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Matteo Luca Ruggiero

Gravitational waves (GWs) distort galaxy shapes through the tidal effect, offering a novel avenue to probe the nature of gravity. In this paper, we investigate how extra GW polarizations beyond those predicted by general relativity imprint…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-10 Yusuke Mikura , Teppei Okumura , Misao Sasaki

Here we show that coupling to curvature has profound effects on collective motion in active systems, leading to patterns not observed in flat space. Biological examples of such active motion in curved environments are numerous: curvature…

Soft Condensed Matter · Physics 2015-03-05 Rastko Sknepnek , Silke Henkes

The propagation of a massless field in attractive and repulsive potentials is considered. It is shown that though the group velocity in such potentials can be larger than one, the wave front propagates with the speed of light. A…

High Energy Physics - Theory · Physics 2009-10-30 A. D. Dolgov , I. B. Khriplovich

The orientation of galaxy spin vectors within the large scale structure has been considered an important test of our understanding of structure formation. We investigate the angular changes of galaxy spin vectors in clusters - denser…

We investigate the stability of self-propelled particle flocks in the Taylor-Green vortex, a steady vortical flow. We consider a model where particles align themselves to a combination of the orientation and the acceleration of particles…

Biological Physics · Physics 2016-07-13 Andrew W. Baggaley

The paper discusses impact of the velocity curl on some conservation laws in the gravitational field and electromagnetic field, by means of the characteristics of quaternions. When the velocity curl can not be neglected, it will cause the…

General Physics · Physics 2009-08-11 Zihua Weng