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It is shown that laminar vortex rings can be generated by impulsive body forces having particular spatial and temporal characteristics. The method produces vortex rings in a fluid initially at rest, and once generated, the flow field…

流体动力学 · 物理学 2023-04-06 Rabia Sonmez , Robert A. Handler , Ryan Kelly , David B. Goldstein , Saikishan Suryanarayanan

In the 60's Shapley provided an example of a two player fictitious game with periodic behaviour. In this game, player $A$ aims to copy $B$'s behaviour and player $B$ aims to play one ahead of player $A$. In this paper we continue to study a…

动力系统 · 数学 2009-03-30 Sebastian van Strien Colin Sparrow

The vortex patterns stabilized by the square array of artificial pinning sites with a tunable pinning strength are studied by using a phenomenological approach in the London limit. The transitions between pinned and deformed triangular…

超导电性 · 物理学 2009-11-07 W. V. Pogosov , A. L. Rakhmanov , V. V. Moshchalkov

This fluid dynamics video shows three-dimensional vortex formation process for plates in impulsive motion which is investigated experimentally by using defocusing digital particle image velocimetry (DDPIV). Rigid and flexible plate cases…

流体动力学 · 物理学 2008-10-14 Daegyoum Kim , Morteza Gharib

We analyze the pinning of vortices for a stationary rotating dipolar supersolid along the low-density paths between droplets as a function of the rotation frequency. We restrict ourselves to the stationary configurations of vortices with…

量子气体 · 物理学 2024-10-01 Aitor Alaña , Michele Modugno , Pablo Capuzzi , D. M. Jezek

Patterns of vortex ripples form when a sand bed is subjected to an oscillatory fluid flow. Here we describe experiments on the response of regular vortex ripple patterns to sudden changes of the driving amplitude a or frequency f. A…

软凝聚态物质 · 物理学 2009-11-07 J. L. Hansen , M. van Hecke , C. Ellegaard , K. H. Andersen , T. Bohr , A. Haaning , T. Sams

A triangular-lattice pattern is observed in light beams resulting from the spatial cross modulation between an optical vortex and a triangular shaped beam undergoing parametric interaction. Both up- and down-conversion processes are…

We introduce a new two-player game on graphs, in which players alternate choosing vertices until the set of chosen vertices forms a dominating set. The last player to choose a vertex is the winner. The game fits into the scheme of several…

组合数学 · 数学 2025-10-31 Sean Fiscus , Glenn Hurlbert , Eric Myzelev , Travis Pence

This paper illustrates the mechanism of U-shaped vortex formation which is found both by experiment and DNS. The main goal of this paper is to explain how the U-shaped vortex is formed and further develops. According to the results obtained…

流体动力学 · 物理学 2014-02-25 Ping Lu , Qin Li , Chaoqun Liu

We study the dynamics of vortices in a Bose-Einstein condensate within a rotating four-site lattice which can be effectively described by a multimode model. Such a vortex dynamics develops along the low-density paths that separate the…

量子气体 · 物理学 2025-03-24 P. Capuzzi , D. M. Jezek

Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where players with a finite number of strategies may represent a wide…

物理与社会 · 物理学 2016-04-20 Gyorgy Szabo , Istvan Borsos

We study adaptive learning in a typical p-player game. The payoffs of the games are randomly generated and then held fixed. The strategies of the players evolve through time as the players learn. The trajectories in the strategy space…

经济学 · 定量金融 2018-04-09 James B. T. Sanders , J. Doyne Farmer , Tobias Galla

We numerically study the dynamics of vortex lattice formation in a rotating cigar-shaped Bose-Einstein condensate. The study is a three-dimensional simulation of the Gross-Pitaevskii equation with a phenomenological dissipation term. The…

其他凝聚态物理 · 物理学 2009-11-11 Kenichi Kasamatsu , Masahiko Machida , Narimasa Sasa , Makoto Tsubota

Players are arranged on a regular lattice and coded with a specific strategy for a pre-defined game. Each player sums their payoffs from playing the game with each of their neighbors, and then adopts the strategy of the most successful…

动力系统 · 数学 2015-08-03 Stewart D. Johnson

We study theoretically the simultaneous effect of a regular and a random pinning potentials on the vortex lattice structure at filling factor of 1. This structure is determined by a competition between the square symmetry of regular pinning…

超导电性 · 物理学 2009-02-24 W. V. Pogosov , V. R. Misko , H. J. Zhao , F. M. Peeters

The evolution of domain structure is investigated in a two-dimensional voter model with three states under cyclic dominance. The study focus on the dynamics of vortices, defined by the points where three states (domains) meet. We can…

统计力学 · 物理学 2009-10-31 Gyorgy Szabo , M. A. Santos , J. F. F. Mendes

Exploring the possible consequences of spatial reciprocity on the evolution of cooperation is an intensively studied research avenue. Related works assumed a certain interaction graph of competing players and studied how particular…

种群与进化 · 定量生物学 2021-02-09 B. F. de Oliveira , A. Szolnoki

We report the experimental observation of novel vortex patterns in vertically vibrated granular rods. Above a critical packing fraction, moving ordered domains of nearly vertical rods spontaneously form and coexist with horizontal rods. The…

凝聚态物理 · 物理学 2009-11-07 Daniel L. Blair , T. Neicu , A. Kudrolli

A system of three point vortices in an unbounded plane has a special family of self-similarly contracting or expanding solutions: during the motion, vortex triangle remains similar to the original one, while its area decreases (grows) at a…

流体动力学 · 物理学 2009-10-31 X. Leoncini , L. Kuznetsov , G. M. Zaslavsky

With evolutionary game theory, mathematicians, physicists and theoretical biologists usually show us beautiful figures of population dynamic patterns. 2x2 game (matching pennies game) is one of the classical cases. In this letter, we report…

适应与自组织系统 · 物理学 2016-08-03 Zhijian Wang