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"Sticky" motion in mixed phase space of conservative systems is difficult to detect and to characterize, in particular for high dimensional phase spaces. Its effect on quasi-regular motion is quantified here with four different measures,…

Chaotic Dynamics · Physics 2010-10-13 C. Manchein , M. W. Beims , J. M. Rost

We investigate quasi-two-dimensional relaxation, by surface tension, of a long straight stripe of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. Combining analytical and numerical solutions, we describe the emergence of…

Fluid Dynamics · Physics 2009-11-11 Arkady Vilenkin , Baruch Meerson , Pavel V. Sasorov

Remarkably persistent mixing and non-mixing regions (islands) are observed to coexist in a three-dimensional dynamical system where randomness is expected. The track of an x-ray opaque particle in a spherical shell half-filled with dry…

Soft Condensed Matter · Physics 2018-09-05 Zafir Zaman , Mengqi Yu , Paul P. Park , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar

We consider a phase-separating mixture of active and passive fluids and explore morphological asymmetries of the emerging dominantly bicontinous dynamic emulsion. Two-dimensional numerical simulations reveal that the geometric and…

Soft Condensed Matter · Physics 2026-01-22 Rainer Backofen , Axel Voigt

We show, using covariant Lyapunov vectors, that the tangent space of spatially-extended dissipative systems is split into two hyperbolically decoupled subspaces: one comprising a finite number of frequently entangled "physical" modes, which…

Chaotic Dynamics · Physics 2015-05-28 Kazumasa A. Takeuchi , Hong-liu Yang , Francesco Ginelli , Günter Radons , Hugues Chaté

Using molecular dynamics we investigate the thermodynamics, dynamics and structure of 250 diatomic molecules interacting by a core-softened potential. This system exhibits thermodynamics, dynamics and structural anomalies: a maximum in…

Driven-dissipative systems define a broad class of non-equilibrium systems where an external drive (e.g. laser) competes with a dissipative environment. The steady state of dynamics is generically distinct from a thermal state…

Quantum Gases · Physics 2017-11-22 Mohammad F. Maghrebi

We consider a mixture of active and passive run-and-tumble disks in an inhomogeneous environment where only half of the sample contains quenched disorder or pinning. The disks are initialized in a fully mixed state of uniform density. We…

Soft Condensed Matter · Physics 2024-04-23 P. Forgacs , A. Libal , C. Reichhardt , C. J. O. Reichhardt

We study an array of two-level systems arranged on a lattice and illuminated by an external plane wave which drives a dipolar transition between the two energy levels. In this set up, the two-level systems are coupled by dipolar…

Quantum Gases · Physics 2018-06-20 C. D. Parmee , N. R. Cooper

A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be…

Statistical Mechanics · Physics 2010-01-05 Guillaume Gregoire , Hugues Chate , Yuhai Tu

In living and engineered systems of active particles, self-propulsion induces an unjamming transition from a solid to a fluid phase and phase separation between a gas and a liquid-like phase. We demonstrate an interplay between these two…

Soft Condensed Matter · Physics 2022-07-20 Jing Yang , Ran Ni , Massimo Pica Ciamarra

Two-scale models pose a promising approach in simulating reactive flow and transport in evolving porous media. Classically, homogenized flow and transport equations are solved on the macroscopic scale, while effective parameters are…

Analysis of PDEs · Mathematics 2022-02-01 Stephan Gärttner , Peter Knabner , Nadja Ray

We study the dynamics of extended rod-like bodies in (or associated with) membranes and films. We demonstrate a striking difference between the mobilities in films and bulk fluids, even when the dissipation is dominated by the fluid stress:…

Soft Condensed Matter · Physics 2009-11-10 Alex J. Levine , T. B. Liverpool , F. C. MacKintosh

In this work we investigate the generic properties of a stochastic linear model in the regime of high-dimensionality. We consider in particular the Vector AutoRegressive model (VAR) and the multivariate Hawkes process. We analyze both…

Statistical Mechanics · Physics 2015-06-11 Iacopo Mastromatteo , Emmanuel Bacry , Jean-François Muzy

We present dynamical density functional theory results for the time evolution of the density distribution of a sedimenting model two-dimensional binary mixture of colloids. The interplay between the bulk phase behaviour of the mixture, its…

Soft Condensed Matter · Physics 2015-06-17 Alexandr Malijevsky , Andrew J. Archer

We perform computer simulations of a Cahn-Hilliard model of phase separation which has dynamical asymmetry between the two coexisting phases. The dynamical asymmetry is incorporated by considering a mobility function which is order…

Soft Condensed Matter · Physics 2009-10-31 Rajeev Ahluwalia

The topological properties of the one-dimensional interacting systems with spatially modulated interaction in two-particle regime are theoretically investigated. Taking the boson-Hubbard model and spinless fermion interacting model as…

Strongly Correlated Electrons · Physics 2025-02-11 Zheng-Wei Zuo , Wanwan Shi , Haisheng Li

In this work, we apply phase field simulations to examine the coarsening behavior of morphologically complex two-phase microstructures in which the phases have highly dissimilar mobilities, a condition approaching that found in experimental…

Materials Science · Physics 2022-06-10 W. Beck Andrews , Peter W. Voorhees , Katsuyo Thornton

Hydrodynamic interactions between two identical elastic dumbbells settling under gravity in a viscous fluid at low-Reynolds-number are investigated within the point-particle model. Evolution of a benchmark initial configuration is studied,…

Fluid Dynamics · Physics 2015-06-23 Marek Bukowicki , Marta Gruca , Maria L. Ekiel-Jezewska

We experimentally study the dynamics of active particles (APs) in a viscoelastic fluid under various geometrical constraints such as flat walls, spherical obstacles and cylindrical cavities. We observe that the main effect of the confined…

Soft Condensed Matter · Physics 2020-07-21 N Narinder , Juan Ruben Gomez-Solano , Clemens Bechinger