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Topological defects resulted from boundary constraints in confined liquid crystals have attracted extensive research interests. In this paper, we use numerical simulation to study the phase transition dynamics in the context of stochastic…

Soft Condensed Matter · Physics 2018-10-03 Yucheng Hu , Liu Hong , Weihua Deng

Migration is a key ingredient for the formation of close-in super-Earth and mini-Neptune systems, as it sets in which resonances planets can be trapped. Slower migration rates result in wider resonance configurations compared to higher…

Earth and Planetary Astrophysics · Physics 2024-12-18 Bertram Bitsch , Andre Izidoro

We revisit here the stability of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. Unlike previous work, the turbulent base state velocity profile proposed here requires only a…

Fluid Dynamics · Physics 2016-11-26 Lennon Ó Náraigh , Peter Spelt , Omar Matar , Tamer Zaki

We derive a minimal continuum model to investigate the hydrodynamic mechanism behind the fingering instability recently discovered in a suspension of microrollers near a floor [Driscoll et al. Nature Physics, 2016]. Our model, consisting of…

Fluid Dynamics · Physics 2017-11-15 Blaise Delmotte , Michelle Driscoll , Aleksandar Donev , Paul Chaikin

We investigate the role of resonance in finite-amplitude swimming of a flexible flat plate in a viscous fluid. The role of resonance in performance remains unclear for two reasons: i) a lack of definition of resonance for the fully-coupled…

Fluid Dynamics · Physics 2020-03-18 Andres Goza , Daniel Floryan , Clancy Rowley

The phase space of an area-preserving map typically contains infinitely many elliptic islands embedded in a chaotic sea. Orbits near the boundary of a chaotic region have been observed to stick for long times, strongly influencing their…

Chaotic Dynamics · Physics 2016-12-28 Or Alus , Shmuel Fishman , James D. Meiss

It is now well established that the stability of aligned dipolar Bose gases can be tuned by varying the aspect ratio of the external harmonic confinement. This paper extends this idea and demonstrates that a Gaussian barrier along the…

Quantum Gases · Physics 2015-05-14 M. Asad-uz-Zaman , D. Blume

This paper deals with a hyperbolic system of two nonlinear conservation laws, where the phase space contains two contact manifolds. The governing equations are modelling bidisperse suspensions, which consist of two types of small particles…

Analysis of PDEs · Mathematics 2015-01-27 Stefan Berres , Pablo Castañeda

We study a non-reciprocal version of Model B, as the continuum theory for non-reciprocal particle mixtures. In contrast to non-reciprocal Cahn-Hilliard models, it is important in this context to consider the dependence of mobility…

Soft Condensed Matter · Physics 2025-08-06 Bibhut Sahoo , Rituparno Mandal , Peter Sollich

It is shown that nonlocal interactions determine energy spectrum in isotropic turbulence at small Reynolds numbers. It is also shown that for moderate Reynolds numbers the bottleneck effect is determined by the same nonlocal interactions.…

Chaotic Dynamics · Physics 2008-11-07 A. Bershadskii

We study the behaviour of catalytically active droplets in multi-component conserved mixtures affected by noise. Working in the thin interface limit, we analytically determine the state diagram of the system, characterized by multiple…

Soft Condensed Matter · Physics 2025-12-01 Jacopo Romano , Martin Kjøllesdal Johnsrud , Benoît Mahault , Ramin Golestanian

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Motor systems show an overall robustness, but because they are highly nonlinear, understanding how they achieve robustness is difficult. In many rhythmic systems, robustness against perturbations involves response of both the shape and the…

Neurons and Cognition · Quantitative Biology 2022-05-18 Yangyang Wang , Jeffrey P. Gill , Hillel J. Chiel , Peter J. Thomas

With the exception of the harmonic oscillator, quantum wave-packets usually spread as time evolves. We show here that, using the nonlinear resonance between an internal frequency of a system and an external periodic driving, it is possible…

Quantum Physics · Physics 2015-06-26 Andreas Buchleitner , Dominique Delande , Jakub Zakrzewski

Non-linear evolution of the parametric instability of inertial waves inherent to eccentric discs is studied by way of a new local numerical model. Mode coupling of tidal deformation with the disc eccentricity is known to produce…

Earth and Planetary Astrophysics · Physics 2018-05-02 Aaron F. Wienkers , Gordon I. Ogilvie

Using agent-based simulations of self-propelled particles subject to short-range repulsion and nematic alignment we explore the dynamical phases of a dense active material confined to the surface of a sphere. We map the dynamical phase…

Soft Condensed Matter · Physics 2018-04-25 Silke Henkes , M. Cristina Marchetti , Rastko Sknepnek

Recent theoretical research on the fundamentals of statistical mechanics has led to a remarkable discovery [2-4]: with a locally nonchaotic energy barrier, a macroscopic system may produce useful work in a cycle by absorbing heat from a…

Soft Condensed Matter · Physics 2025-11-10 Yu Qiao , Meng Wang

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

Statistical Mechanics · Physics 2022-06-30 Cillian Cockrell , Ian J Ford

A viscous, lubrication-like response can be triggered in a thin film of fluid squeezed between a rigid and flat surface and the tip of an incoming projectile. We develop a comprehensive theory for this viscous approach stage of…

We study the inflow-outflow boundary value problem on an interval, the analog of the 1D shock tube problem for gas dynamics, for general systems of hyperbolic-parabolic conservation laws. In a first set of investigations, we study…

Analysis of PDEs · Mathematics 2021-12-09 Benjamin Melinand , Kevin Zumbrun