Interaction, coalescence, and collapse of localized patterns in a quasi-one-dimensional system of interacting particles
| Autor: | Tommy Dessup, Michel Saint Jean, Christophe Coste |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Coalescence (physics)
Physics Condensed matter physics media_common.quotation_subject Bubble Frustration 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Zigzag Phase space Metastability 0103 physical sciences Quasi one dimensional 010306 general physics Merge (version control) media_common |
| Zdroj: | Physical review. E. 95(1-1) |
| ISSN: | 2470-0053 |
| Popis: | We study the path toward equilibrium of pairs of solitary wave envelopes (bubbles) that modulate a regular zigzag pattern in an annular channel. We evidence that bubble pairs are metastable states, which spontaneously evolve toward a stable single bubble. We exhibit the concept of topological frustration of a bubble pair. A configuration is frustrated when the particles between the two bubbles are not organized in a modulated staggered row. For a nonfrustrated (NF) bubble pair configuration, the bubbles interaction is attractive, whereas it is repulsive for a frustrated (F) configuration. We describe a model of interacting solitary wave that provides all qualitative characteristics of the interaction force: It is attractive for NF systems and repulsive for F systems and decreases exponentially with the bubbles distance. Moreover, for NF systems, the bubbles come closer and eventually merge as a single bubble, in a coalescence process. We also evidence a collapse process, in which one bubble shrinks in favor of the other one, overcoming an energetic barrier in phase space. This process is relevant for both NF systems and F systems. In NF systems, the coalescence prevails at low temperature, whereas thermally activated jumps make the collapse prevail at high temperature. In F systems, the path toward equilibrium involves a collapse process regardless of the temperature. |
| Databáze: | OpenAIRE |
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