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Topological concepts have been employed to understand the ground states of many strongly correlated systems, but it is still quite unclear if and how topology manifests itself in the relaxation dynamics. Here we uncover emergent topological…

Quantum Gases · Physics 2025-03-31 Wang Huang , Xu-Chen Yang , Rui Cao , Ying-Hai Wu , Jianmin Yuan , Yongqiang Li

Building on the development of a Hermite-Legendre analysis of one-dimensional gravitating collisionless systems, we present a technique for determining the steady states of such systems. This provides an important component for…

Astrophysics of Galaxies · Physics 2019-06-12 Robert J. Ragan , Eric I. Barnes

Instabilities and strong dynamical interactions between several giant planets have been proposed as a possible explanation for the surprising orbital properties of extrasolar planetary systems. In particular, dynamical instabilities would…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Marketa Havlickova , Frederic A. Rasio

The long timescale evolution of a self-gravitating system is generically driven by two-body encounters. In many cases, the motion of the particles is primarily governed by the mean field potential. When this potential is integrable,…

Astrophysics of Galaxies · Physics 2018-09-26 Jean-Baptiste Fouvry , Ben Bar-Or

The formation of self-gravitating systems is studied by simulating the collapse of a set of N particles which are generated from several distribution functions. We first establish that the results of such simulations depend on N for small…

Astrophysics · Physics 2009-11-10 F. Roy , J. Perez

The microscopic dynamics of one-dimensional self-gravitating many-body systems is studied. We examine two courses of the evolution which has the isothermal and stationary water-bag distribution as initial conditions. We investigate the…

chao-dyn · Physics 2009-10-22 Toshio Tsuchiya , Tetsuro Konishi , Naoteru Gouda

We find that nuclear rings in barred galaxies can be subject to a new type of non-self-gravitational dynamical instability. The instability leads to the formation of gaseous molecular bars with pattern speeds which are substantially slower…

Astrophysics · Physics 2009-11-06 Clayton Heller , Isaac Shlosman , Peter Englmaier

It is generally recognized that a distinguishing feature of life is its peculiar capability to avoid equilibration. The origin of this capability and its evolution along the timeline of abiogenesis is not yet understood. We propose to study…

Molecular Networks · Quantitative Biology 2016-10-13 Dmitry Yu. Zubarev , Leonardo A. Pachón

Quasistatic evolutions of critical points of time-dependent energies exhibit piecewise smooth behavior, making them useful for modeling continuum mechanics phenomena like elastic-plasticity and fracture. Traditionally, such evolutions have…

Optimization and Control · Mathematics 2026-01-09 Stefano Almi , Massimo Fornasier , Jona Klemenc , Alessandro Scagliotti

The self-gravitating systems are formed by particles interacting through gravity. They describe structure formation in the universe. As a consequence of the long range interaction of gravity, they are inhomogeneous even at thermal…

Astrophysics · Physics 2007-05-23 Julien Siebert

The causes of spiral structure in galaxies remain uncertain. Leaving aside the grand bisymmetric spirals with their own well-known complications, here we consider the possibility that multi-armed spiral features originate from density…

Astrophysics of Galaxies · Physics 2015-06-04 Elena D'Onghia , Mark Vogelsberger , Lars Hernquist

We study the appearance of large-scale dynamical heterogeneities in a simplified model of a driven, dissipative granular system. Simulations of steady-state gravity-driven flows of inelastically colliding hard disks show the formation of…

Soft Condensed Matter · Physics 2009-11-11 Allison Ferguson , Bulbul Chakraborty

We study the nonequilibrium dynamics of a many-body bosonic system on a lattice, subject to driving and dissipation. The time-evolution is described by a master equation, which we treat within a generalized Gutzwiller mean field…

Quantum Gases · Physics 2013-05-29 Andrea Tomadin , Sebastian Diehl , Peter Zoller

In this paper we review a recently developed approximate method for investigation of dynamics of compressible ellipsoidal figures. Collapse and subsequent behaviour are described by a system of ordinary differential equations for time…

General Relativity and Quantum Cosmology · Physics 2015-08-03 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

The collapse of a collisionless self-gravitating system, with the fast achievement of a quasi-stationary state, is driven by violent relaxation, with a typical particle interacting with the time-changing collective potential. It is…

Astrophysics of Galaxies · Physics 2017-09-21 Leandro Beraldo e Silva , Walter de Siqueira Pedra , Laerte Sodré , Eder Perico , Marcos Lima

We discuss the nature of phase transitions in self-gravitating systems both in the microcanonical and in the canonical ensemble. We avoid the divergence of the gravitational potential at short distances by considering the case of…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis

We investigate the evolution of phase space close to complex unstable periodic orbits in two galactic type potentials. They represent characteristic morphological types of disc galaxies, namely barred and normal (non-barred) spiral…

Astrophysics of Galaxies · Physics 2021-11-24 P. A. Patsis , T. Manos , L. Chaves-Velasquez , Ch. Skokos , I. Puerari

We have investigated the properties of gravito-turbulent discs in 3D using high-resolution shearing-box simulations. For large enough domain sizes, $L_y \gtrsim 60H$, the disc settles down into a quasi-steady state, showing no long term…

Earth and Planetary Astrophysics · Physics 2018-12-26 Richard A. Booth , Cathie J. Clarke

Gaia recently revealed a two-armed spiral pattern in the vertical phase-space distribution of the inner Galactic disk (guiding radius $R_\textrm{g} \sim 6.2$ kpc), indicating that some non-adiabatic perturbation symmetric about the…

Astrophysics of Galaxies · Physics 2025-10-22 Rimpei Chiba , Neige Frankel , Chris Hamilton

Using the conventional gravastar model, that is, an object constituted by two components where one of them is a massive infinitely thin shell and the other one is a de Sitter interior spacetime, we physically interpret a solution…

General Relativity and Quantum Cosmology · Physics 2012-10-30 R. Chan , M. F. A. da Silva , Jaime F. Villas da Rocha