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We report a new type of drop instability, where the density difference between the drop and the solvent is negative. We show that the drop falls inside the solvent down to a minimum height, then fragmentation takes place and secondary…

Chaotic Dynamics · Physics 2016-08-16 Paul K. Buah-Bassuah , René Rojas , Stefania Residori , Fortunato Tito Arecchi

In order to elucidate the process underpinning the apparently counterintuitive phenomena observed in the freefall experiments conducted by E. Hamm and J. G\'eminard [Amer. J. Phys. 78, 828 (2010)], we construct a simple dynamical model of a…

Classical Physics · Physics 2021-11-30 Tomoaki Itano , Masako Sugihara-Seki

Synthesizing a stable gait that enables a quadruped robot to climb stairs is the focus of this paper. To this end, first a stable transition from initial to desired configuration is made based on the minimum number of steps and maximum use…

Robotics · Computer Science 2018-09-11 Ali Zamani , Mahdi Khorram , S. Ali A. Moosavian

We present a simulation of a dripping faucet system. A new algorithm based on Lagrangian description is introduced. The shape of drop falling from a faucet obtained by the present algorithm agrees quite well with experimental observations.…

chao-dyn · Physics 2009-10-31 Nobuko Fuchikami , Shunya Ishioka , Ken Kiyono

We propose a simple experiment that everybody can carry out just while reading this paper. The only thing we need is a pen or a pencil and a finger. The dynamics of the falling pen, which is in touch with the finger, depends essentially on…

Classical Physics · Physics 2007-05-23 Veniamin A. Abalmassov , Dmitri A. Maljutin

If we consider a cat to be an isolated mechanical system governed by T-invariant mechanics, then its ability to land on its feet after being released from rest is incomprehensible. It is more appropriate to treat the cat as a creature that…

Classical Physics · Physics 2024-05-09 Frank Wilczek

The normal and the inverted pendulum continue to be one of the main physical models and metaphors in science. The inverted pendulum is also a classic study case in control theory. In this paper we consider a special demonstration version of…

Biological Physics · Physics 2007-05-23 Frank Borg

This paper investigates the motion of falling leaves through modeling using papers and the corresponding data collected from more than four thousands experiments. Two series of experiments were designed in order to study the relationship…

Popular Physics · Physics 2011-11-11 Pedram Razavi

The dynamics of a hollow cylinder containing granules and rolling down an inclined plane was investigated. A theoretical approach for investigating the behaviour of such a cylinder was proposed. The critical angle of the plane that allows…

Physics Education · Physics 2014-01-20 Edy Wibowo , Sutisna , Mamat Rokhmat , Elfi Yuliza , Khairurrijal , Mikrajuddin Abdullah

All children enjoy inflating balloons and twisting them into different shapes and animals. Snapping the balloon into two separate compartments is a necessary step that bears resemblance to the pinch-off phenomenon for water droplet detached…

Soft Condensed Matter · Physics 2021-11-03 Yu-Chuan Cheng , Ting-Heng Hsieh , Jih-Chiang Tsai , Tzay-Ming Hong

We study a binary Lennard-Jones system below the glass transition with molecular dynamics simulations. To investigate the dynamics we focus on events ("jumps") where a particle escapes the cage formed by its neighbors. Using single particle…

Statistical Mechanics · Physics 2009-11-10 K. Vollmayr-Lee

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

Optimization and Control · Mathematics 2011-10-04 Debasish Chatterjee , Daniel Liberzon

In a jumping finite automaton, the input head can jump to an arbitrary position within the remaining input after reading and consuming a symbol. We characterize the corresponding class of languages in terms of special shuffle expressions…

Formal Languages and Automata Theory · Computer Science 2015-12-03 Henning Fernau , Meenakshi Paramasivan , Markus L. Schmid , Vojtěch Vorel

The evaluation of the long term stability of a material requires the estimation of its long-time dynamics. For amorphous materials such as structural glasses, it has proven difficult to predict the long-time dynamics starting from static…

Soft Condensed Matter · Physics 2014-05-27 Raffaele Pastore , Antonio Coniglio , Massimo Pica Ciamarra

A pinned-free beam in axial fluid flow, subjected to feedback-based actuation at the pinned end, is investigated. The actuation may be a moment or a prescribed angle and it is proportional to the state (curvature, slope, or displacement) of…

Fluid Dynamics · Physics 2023-02-07 Sanders Aspelund , Ranjan Mukherjee , Aren Hellum

We analyze the chain fountain effect--the chain siphoning when falling from a container onto the floor. We argue that the main reason for this effect is the inertia of the chain, whereas the momentum received by the beads of the chain from…

Classical Physics · Physics 2020-10-20 Dragos-Victor Anghel

When a fluid jet strikes an inclined solid surface at normal incidence, gravity creates a flow pattern with a thick outer rim resembling a parabola and reminiscent of a hydraulic jump. There appears to be little theory or experiments…

Fluid Dynamics · Physics 2010-09-02 Jean-Luc Thiffeault , Andrew Belmonte

Dissipative quantum systems can under appropriate conditions exhibit bi- or multi-partite entanglement at the steady state. The presence and properties of these quantum correlations depend on the relevant model parameters. Here, we…

Quantum Physics · Physics 2024-09-26 Alan Kahan , Cecilia Cormick

The scope of the paper is the theoretical analysis of the time rate in which a dynamical system reaches a stable stationary state or stable oscillations. The method used for the analysis is based on the so-called iterative time profiles,…

General Mathematics · Mathematics 2026-02-10 Marek Berezowski , Katarzyna Bizon

Despite their fundamental and applied importance, a general model to predict the natural breakup length of steady capillary jets has not been proposed yet. In this work, we derive a scaling law with two universal constants to calculate that…