arXiv - PHYS - Pattern Formation and Solitons最新文献_第8页

Metal Assisted Chemical Etching patterns at a Ge/Cr/Au interface modulated by the Euler instability 受欧拉不稳定性调制的 Ge/Cr/Au 界面金属辅助化学蚀刻模式

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-31 DOI: arxiv-2405.20544

Yilin Wong, Giovanni Zocchi

引用次数: 0

Modulational Instability of the Coupled Nonlinear volatility and option price model 非线性波动率与期权价格耦合模型的调制不稳定性

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-30 DOI: arxiv-2405.19887

C. Gaafele, Edmond B. Madimabe, K. Ndebele, P. Otlaadisa, B. Mozola, T. Matabana, K. Seamolo, P. Pilane

引用次数: 0

Stability and dynamics of nonlinear excitations in a two-dimensional droplet-bearing environment 二维液滴环境中非线性激振的稳定性和动态性

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-30 DOI: arxiv-2405.20106

G. Bougas, G. C. Katsimiga, P. G. Kevrekidis, S. I. Mistakidis

{"title":"Stability and dynamics of nonlinear excitations in a two-dimensional droplet-bearing environment","authors":"G. Bougas, G. C. Katsimiga, P. G. Kevrekidis, S. I. Mistakidis","doi":"arxiv-2405.20106","DOIUrl":"https://doi.org/arxiv-2405.20106","url":null,"abstract":"We unravel stationary states in the form of dark soliton stripes, bubbles,\u0000and kinks embedded in a two-dimensional droplet-bearing setting emulated by an\u0000extended Gross-Pitaevskii approach. The existence of these configurations is\u0000corroborated through an effectively reduced potential picture demonstrating\u0000their concrete parametric regions of existence. The excitation spectra of such\u0000configurations are analyzed within the Bogoliubov-de-Gennes framework exposing\u0000the destabilization of dark soliton stripes and bubbles, while confirming the\u0000stability of droplets, and importantly unveiling spectral stability of the kink\u0000against transverse excitations. Additionally, a variational approach is\u0000constructed providing access to the transverse stability analysis of the dark\u0000soliton stripe for arbitrary chemical potentials and widths of the structure.\u0000This is subsequently compared with the stability analysis outcome demonstrating\u0000very good agreement at small wavenumbers. Dynamical destabilization of dark\u0000soliton stripes via the snake instability is showcased, while bubbles are found\u0000to feature both a splitting into a gray soliton pair and a transverse\u0000instability thereof. These results shed light on unexplored stability and\u0000instability properties of nonlinear excitations in environments featuring a\u0000competition of mean-field repulsion and beyond-mean-field attraction that can\u0000be probed by state-of-the-art experiments.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141190940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Interaction and adiabatic evolution of orthodromic and antidromic impulses in the axoplasmic fluid 轴浆流体中正交脉冲和反交脉冲的相互作用和绝热演化

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-27 DOI: arxiv-2405.19370

O. Pavón-Torres, M. A. Agüero-Granados, M. E. Maguiña-Palma

引用次数: 0

Hydrodynamic modulation instability triggered by a two-wave system 双波系统引发的水动力调制不稳定性

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-25 DOI: arxiv-2405.19365

Yuchen He, Jinghua Wang, Bertrand Kibler, Amin Chabchoub

{"title":"Hydrodynamic modulation instability triggered by a two-wave system","authors":"Yuchen He, Jinghua Wang, Bertrand Kibler, Amin Chabchoub","doi":"arxiv-2405.19365","DOIUrl":"https://doi.org/arxiv-2405.19365","url":null,"abstract":"The modulation instability (MI) is responsible for the disintegration of a\u0000regular nonlinear wave train and can lead to strong localizations in a from of\u0000rogue waves. This mechanism has been studied in a variety of nonlinear\u0000dispersive media, such as hydrodynamics, optics, plasma, mechanical systems,\u0000electric transmission lines, and Bose-Einstein condensates, while its impact on\u0000applied sciences is steadily growing. Following the linear stability analysis\u0000of weakly nonlinear waves, the classical MI dynamics, can be triggered when a\u0000pair of small-amplitude sidebands are excited within a particular frequency\u0000range around the main peak frequency. That is, a three-wave system is usually\u0000required to initiate the wave focusing process. Breather solutions of the\u0000nonlinear Schr\"odinger equation (NLSE) revealed that MI can generate much more\u0000complex localized structures, beyond the three-wave system initialization\u0000approach or by means of a continuous spectrum. In this work, we report an\u0000experimental study for deep-water surface gravity waves asserting that a MI\u0000process can be triggered by a single unstable sideband only, and thus, from a\u0000two-wave process when including the contribution of the peak frequency. The\u0000experimental data are validated against fully nonlinear hydrodynamic numerical\u0000wave tank simulations and show very good agreement. The long-term evolution of\u0000such unstable wave trains shows a distinct shift in the recurrent\u0000Fermi-Pasta-Ulam-Tsingou focusing cycles, which are captured by the NLSE and\u0000fully nonlinear hydrodynamic simulations with minor distinctions.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"68 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141190936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the Existence of Generalized Breathers and Transition Fronts in Time-Periodic Nonlinear Lattices 论时间周期非线性网格中广义呼吸器和过渡前沿的存在性

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-24 DOI: arxiv-2405.15621

Christopher Chong, Dmitry E. Pelinovsky, Guido Schneider

引用次数: 0

Solitons with Self-induced Topological Nonreciprocity 具有自诱导拓扑非互惠性的孤子

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-23 DOI: arxiv-2405.14919

Pedro Fittipaldi de Castro, Wladimir Alejandro Benalcazar

引用次数: 0

Symmetry and symmetry-breaking in soil pores and climate change mitigation: What fractal geometry can tell us? 土壤孔隙中的对称性和对称性破坏与减缓气候变化：分形几何能告诉我们什么？

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-23 DOI: arxiv-2405.14217

Abhijeet Das

{"title":"Symmetry and symmetry-breaking in soil pores and climate change mitigation: What fractal geometry can tell us?","authors":"Abhijeet Das","doi":"arxiv-2405.14217","DOIUrl":"https://doi.org/arxiv-2405.14217","url":null,"abstract":"Soil is a critical component of terrestrial ecosystems, directly influencing\u0000global biogeochemical cycles. Despite its importance, the complex architecture\u0000of soil pores and their impact on greenhouse gas emissions remain poorly\u0000understood. This perspective aims to address this gap by applying symmetry and\u0000symmetry-breaking concepts through fractal geometry to elucidate the structural\u0000and functional complexities of soil pores. We highlight how fractal parameters\u0000can quantify the self-similar nature of soil pore structures, revealing their\u0000size, shape, and connectivity. These geometric attributes influence soil\u0000properties such as permeability and diffusivity, which are essential for\u0000understanding gas exchange and microbial activity within the soil matrix.\u0000Furthermore, we emphasize the effects of various land management practices,\u0000including tillage and wetting-drying cycles, on soil pore complexity using\u0000three-dimensional multi-fractal analysis. Literature indicates that different\u0000agricultural practices significantly alter pore heterogeneity and connectivity,\u0000affecting greenhouse gas emissions. Conventional tillage decreases pore\u0000connectivity and increases randomness, whereas no-tillage preserves larger,\u0000more complex pore structures. We propose that integrating combinatorial,\u0000geometric, and functional symmetry concepts offers a comprehensive framework\u0000for examining the structure-property-function relationships in soil. This novel\u0000approach could enhance our understanding of soil's role in the global cycle of\u0000greenhouse gases and provide insights into sustainable land management\u0000practices aimed at mitigating climate change.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141150925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Active Magnetic Matter: Propelling Ferrimagnetic Domain Walls by Dynamical Frustration 活性磁性物质：通过动态挫折推动铁磁性畴壁

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-23 DOI: arxiv-2405.14320

Dennis Hardt, Reza Doostani, Sebastian Diehl, Nina del Ser, Achim Rosch

{"title":"Active Magnetic Matter: Propelling Ferrimagnetic Domain Walls by Dynamical Frustration","authors":"Dennis Hardt, Reza Doostani, Sebastian Diehl, Nina del Ser, Achim Rosch","doi":"arxiv-2405.14320","DOIUrl":"https://doi.org/arxiv-2405.14320","url":null,"abstract":"Active matter encompasses many-particle systems with self-propelling units,\u0000such as flocks of birds or schools of fish. Here, we show how self-propelling\u0000domain walls can be realised in a solid-state system when a ferrimagnet is\u0000weakly driven out of thermal equilibrium by an oscillating field. This\u0000activates the Goldstone mode, inducing a rotation of the antiferromagnetic\u0000xy-order in a clockwise or anticlockwise direction, determined by the sign of\u0000the ferromagnetic component. Two opposite directions of rotation meet at a\u0000ferromagnetic domain wall, resulting in 'dynamical frustration', with three\u0000main consequences. (i) Domain walls move actively in a direction chosen by\u0000spontaneous symmetry breaking. Their speed is proportional to the square root\u0000of the driving power across large parameter regimes. (ii) In one dimension\u0000(1D), after a quench into the ferrimagnetic phase, this motion and strong\u0000hydrodynamic interactions lead to a linear growth of the magnetic correlation\u0000length over time, much faster than in equilibrium. (iii) The dynamical\u0000frustration makes the system highly resilient to noise. The correlation length\u0000of the weakly driven 1D system can be orders of magnitude larger than in the\u0000corresponding equilibrium system with the same noise level.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Rogue waves excitation on zero-background in the (2+1)-dimensional KdV equation (2+1)-dimensional KdV方程中零背景上的游荡波激励

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-18 DOI: arxiv-2405.11228

Jie-Fang Zhang, Mei-zhen Jin, Meng-yang Zhang

引用次数: 0