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We study the dynamics and clustering of dust particles with inertia in shock-dominated compressible turbulence using the two-dimensional, stochastically forced Burgers equation. At small Stokes numbers, shock trapping leads to extreme…

Fluid Dynamics · Physics 2025-12-09 Anikat Kankaria , Samriddhi Sankar Ray

The existence of stationary points for the dynamical system of ABC-flow is considered. The ABC-flow, a three-parameter velocity field that provides a simple stationary solution of Euler's equations in three dimensions for incompressible,…

General Physics · Physics 2016-01-11 Sergey V. Ershkov

We study the effect of turbulence on a sedimenting layer of particles by means of direct numerical simulations. A Lagrangian model in which particles are considered as tracers with an additional downward settling velocity is integrated…

Fluid Dynamics · Physics 2020-07-08 Alessandro Sozza , Gabor Drotos , Emilio Hernández-García , Cristóbal López

The dynamics of fibres, modelled as a sequence of inertial beads linked via elastic springs, in turbulent flows is dictated by a non-trivial interplay of their inertia and elasticity. Such elastic, inertial fibres preferentially sample a…

Fluid Dynamics · Physics 2024-06-11 Rahul K. Singh

Motivated by the roll-switching behavior observed in rotating Rayleigh-B\'enard convection, we define a K\"uppers-Lortz (K-L) state as a volume-preserving flow with periodic roll switching. For an individual roll state, the Lagrangian…

Chaotic Dynamics · Physics 2011-09-06 Paul Mullowney , Keith Julien , James D. Meiss

Impurity motion in one dimensional ultra cold quantum liquids confined in an optical trap has attracted much interest recently. As a step towards its full understanding, we construct a generating functional from which we derive the position…

Quantum Gases · Physics 2012-09-11 Julius Bonart , Leticia F. Cugliandolo

We study the correlated dynamics of few interacting bosonic impurities immersed in a one-dimensional harmonically trapped bosonic environment. The mixture is exposed to a time-dependent impurity-medium interaction pulse moving it across the…

Quantum Gases · Physics 2021-02-17 G. Bougas , S. I. Mistakidis , P. Schmelcher

In this work we investigate the dynamics of inertial particles using finite-time Lyapunov exponents (FTLE). In particular, we characterize the attractor and repeller structures underlying preferential concentration of inertial particles in…

Fluid Dynamics · Physics 2016-03-23 M. Sudharsan , Steven L. Brunton , James J. Riley

The sedimentation of a pair of rigid circular particles in a two-dimensional vertical channel containing a Newtonian fluid is investigated numerically, for terminal particle Reynolds numbers ranging from 1 to 10, and for a confinement ratio…

Fluid Dynamics · Physics 2016-11-30 Romuald Verjus , Sylvain Guillou , Alexander Ezersky , Jean-Régis Angilella

Forming macroscopic solid bodies in circumstellar discs requires local dust concentration levels significantly higher than the mean. Interactions of the dust particles with the gas must serve to augment local particle densities, and…

Earth and Planetary Astrophysics · Physics 2019-02-13 Holly L. Capelo , Jan Molacek , Michiel Lambrechts , John Lawson , Anders Johansen , Jurgen Blum , Eberhard Bodenschatz , Haitao Xu

Understanding stickiness and power-law behavior of Poincar\'e recurrence statistics is an open problem for higher-dimensional systems, in contrast to the well-understood case of systems with two degrees-of-freedom. We study such…

Chaotic Dynamics · Physics 2020-03-11 Swetamber Das , Arnd Bäcker

We explore air invasion in an initially water-filled dead-end compliant microchannel containing a constriction. The phenomenon is driven by the pervaporation of the liquid present in the channel through the surrounding medium. The…

Fluid Dynamics · Physics 2022-10-11 Ludovic Keiser , Philippe Marmottant , Benjamin Dollet

We study the dynamics of one--dimensional discrete models of one--component active medium built up of spatially inhomogeneous chains of diffusively coupled piecewise linear maps. The nonhomogeneities (``defects'') are treated in terms of…

Chaotic Dynamics · Physics 2007-05-23 S. Rybalko , A. Loskutov

In this paper, a phase-field based model under the framework of discrete unified gas-kinetic scheme (DUGKS) for incompressible multiphase fluid flows is proposed. Two kinetic models are constructed to solve the conservative Allen-Cahn (A-C)…

Computational Physics · Physics 2019-04-10 Zeren Yang , Chengwen Zhong , Congshan Zhuo

We study 3D chaotic dynamics through an analysis of transport in a granular flow in a half-full spherical tumbler rotated sequentially about two orthogonal axes (a bi-axial "blinking" tumbler). The flow is essentially quasi-2D in any…

Dynamical Systems · Mathematics 2014-07-02 Ivan C. Christov , Richard M. Lueptow , Julio M. Ottino , Rob Sturman

We explore the dynamical transport of an impurity between different embedding majority species which are spatially separated in a double well. The transfer and storage of the impurity is triggered by dynamically changing the interaction…

Quantum Gases · Physics 2022-11-30 Judith Becker , Maxim Pyzh , Peter Schmelcher

Billiard models of single particles moving freely in two-dimensional regions enclosed by hard walls, have long provided ideal toy models for the investigation of dynamical systems and chaos. Recently, billiards with (semi-)permeable walls…

Chaotic Dynamics · Physics 2025-05-19 Katherine Holmes , Joseph Hall , Eva-Maria Graefe

We study steady-state properties of a bath of active Brownian particles (ABPs) in two dimensions in the presence of two fixed, permeable (hollow) disklike inclusions, whose interior and exterior regions can exhibit mismatching motility…

Soft Condensed Matter · Physics 2021-07-20 Mahmoud Sebtosheikh , Ali Naji

Global aspects of the motion of passive scalars in time-dependent incompressible fluid flows are well described by volume-preserving (Liouvillian) three-dimensional maps. In this paper the possible invariant structures in Liouvillian maps…

chao-dyn · Physics 2012-08-02 Julyan H. E. Cartwright , Mario Feingold , Oreste Piro

Gas-liquid flows through packed bed reactors (PBRs) are challenging to predict due to the tortuous flow paths that fluid interfaces must traverse. Experiments at the International Space Station showed that bubble and pulse flows are…

Fluid Dynamics · Physics 2024-03-21 Pranay P. Nagrani , Amy M. Marconnet , Ivan C. Christov