A Peregrine Soliton-Like Structure That Has Nothing to Deal With a Peregrine Breather

Finot, Christophe

doi:10.3389/fphy.2020.590415

Cited by 2 publications

(1 citation statement)

References 30 publications

(45 reference statements)

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“…Multiple mechanisms for such a dramatic energy concentration are known for interacting nonlinear dispersive waves. In optics, fluid dynamics and plasma physics, spectral collapse can be caused by either a modulation instability, dispersive wave breaking, Brillouin backscattering, resonant interaction, or nonlinear wave collisions, leading to merging and focusing of the energy of nonlinear dispersive waves into a solitary standing wave [39]. The analytically tractable solution for the simple case of the Nonlinear Schrödinger equation is a typical solution and will be discussed later.…”

Section: Network Reduction Of the Multiscale Thmc Tensor Networkmentioning

confidence: 99%

Understanding earthquake precursors: from subcritical instabilities to catastrophic events

Regenauer-Lieb,

2024

Phys. Scr.

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The collapse of man-made and natural structures is a complex phenomenon that has been studied for centuries. Existing models often focus on a "critical point" where failure becomes imminent. This work presents a radically different perspective: large earthquakes may not arise from critical states, but instead develop dynamically from the subcritical regime as rare, extreme events. Our approach hinges on an extension of Onsager's reciprocal theorem, allowing us to delve into this subcritical realm. We demonstrate that within such a regime, excitable systems, like those underlying earthquakes, are dynamically renormalised towards a nonlocal equilibrium. For these systems, the maximum entropy production of at least two interacting phases is used to replace the local equilibrium assumption for the subcritical state. Typically, dissipative processes at larger scales arrest these self-amplifying feedbacks. However, in rare instances, they can morph into intricate tensor networks of instabilities that ripple from microscopic scales to the entire system, culminating in an extreme event like a catastrophic earthquake. This novel framework offers a potentially deeper understanding of earthquake precursors and paves the way for exploring earthquake prediction based on the statistics of subcritical dynamics.

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Section: Network Reduction Of the Multiscale Thmc Tensor Networkmentioning

confidence: 99%

Understanding earthquake precursors: from subcritical instabilities to catastrophic events

Regenauer-Lieb,

2024

Phys. Scr.

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Localized structures in optical media and Bose-Einstein condensates: an overview of recent theoretical and experimental results

DUMITRU

2024

Rom. Rep. Phys.

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A survey of recent theoretical and experimental studies on localized structures that form and propagate in a broad class of optical and matter-wave media is presented. The article is structured as a resource paper that overviews a large series of theoretical and experimental results obtained in diverse research areas: linear and nonlinear optical waveforms, nonlinear surface waves, ultrashort few-cycle optical pulses, localized structures in fractional systems, rogue (freak) waves, and matter-wave localized states.

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A Peregrine Soliton-Like Structure That Has Nothing to Deal With a Peregrine Breather

Cited by 2 publications

References 30 publications

Understanding earthquake precursors: from subcritical instabilities to catastrophic events

Understanding earthquake precursors: from subcritical instabilities to catastrophic events

Localized structures in optical media and Bose-Einstein condensates: an overview of recent theoretical and experimental results

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