In many respect experimentally detected DSs exhibit particle-like behaviour. In the discharge plane of these systems filaments show up as spots which are also referred to as dissipative solitons (DSs). In the present paper the focus is on self-organised filamentary patterns in planar dc and ac systems with high ohmic and dielectric barrier, respectively. At the same time, due to the practical relevance of plasma systems one might expect interesting applications. In the last 20 years it turned out that research in the field of low temperature gas-discharge can help to obtain insight into important aspect of SOPs. The understanding of self-organise patterns in spatially extended nonlinear dissipative systems (SOPs) is one of the most challenging subjects in modern natural sciences. Self-Organized Patterns in Gas-Discharge: Particle-Like Behaviour and Dissipative Solitons We show how these results explain dissipative-looking satellite-tracked surface drifter and subsurface float trajectories, as well as satellite-derived Sargassum distributions. Specifically, we obtain that anticyclonic coherent Lagrangian eddies attract (repel) negatively (positively) buoyant finite-size particles, while cyclonic coherent Lagrangian eddies attract (repel) positively (negatively) buoyant finite-size particles. Here, we show that inclusion of inertial effects (i.e., those produced by the buoyancy and size finiteness of an object) in a rotating two-dimensional incompressible flow context resolves this paradox. Paradoxically, observed drifting buoys and floating matter tend to create dissipative-looking patterns near oceanic eddies, which appear to be inconsistent with the conservative fluid particle patterns created by coherent Lagrangian eddies. Recent developments in dynamical systems theory have revealed long-lived and coherent Lagrangian (i.e., material) eddies in incompressible, satellite-derived surface ocean velocity fields. Dissipative inertial transport patterns near coherent Lagrangian eddies in the ocean.īeron-Vera, Francisco J Olascoaga, MarÃa J Haller, George Farazmand, Mohammad Triñanes, JoaquÃn Wang, Yan
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