arXiv - PHYS - Pattern Formation and Solitons最新文献_第6页

Diffusion and pattern formation in spatial games 空间游戏中的扩散和模式形成

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-07-02 DOI: arxiv-2407.02385

Alexandre Champagne-Ruel, Sascha Zakaib-Bernier, Paul Charbonneau

{"title":"Diffusion and pattern formation in spatial games","authors":"Alexandre Champagne-Ruel, Sascha Zakaib-Bernier, Paul Charbonneau","doi":"arxiv-2407.02385","DOIUrl":"https://doi.org/arxiv-2407.02385","url":null,"abstract":"Diffusion plays an important role in a wide variety of phenomena, from\u0000bacterial quorum sensing to the dynamics of traffic flow. While it generally\u0000tends to level out gradients and inhomogeneities, diffusion has nonetheless\u0000been shown to promote pattern formation in certain classes of systems.\u0000Formation of stable structures often serves as a key factor in promoting the\u0000emergence and persistence of cooperative behavior in otherwise competitive\u0000environments, however an in-depth analysis on the impact of diffusion on such\u0000systems is lacking. We therefore investigate the effects of diffusion on\u0000cooperative behavior using a cellular automaton (CA) model of the noisy spatial\u0000iterated prisoner's dilemma (IPD), physical extension and stochasticity being\u0000unavoidable characteristics of several natural phenomena. We further derive a\u0000mean-field (MF) model that captures the 3-species predation dynamics from the\u0000CA model and highlight how pattern formation arises in this new model, then\u0000characterize how including diffusion by interchange similarly enables the\u0000emergence of large scale structures in the CA model as well. We investigate how\u0000these emerging patterns favors cooperative behavior for parameter space regions\u0000where IPD error rates classically forbid such dynamics. We thus demonstrate how\u0000the coupling of diffusion with non-linear dynamics can, counter-intuitively,\u0000promote large scale structure formation and in return establish new grounds for\u0000cooperation to take hold in stochastic spatial systems.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"37 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141532436","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

Adiabatic evolution of solitons embedded on lipid membranes 嵌入脂膜的孤子的绝热演化

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-06-30 DOI: arxiv-2407.00601

O. Pavón-Torres, M. A. Agüero-Granados, R. Valencia-Torres

引用次数: 0

Variational approach to nonlinear pulse evolution in stock derivative markets 股票衍生品市场非线性脉冲演化的变量方法

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-06-30 DOI: arxiv-2407.00554

Christopher Gaafele

引用次数: 0

Two-component nonlinear waves 双分量非线性波

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-06-27 DOI: arxiv-2407.00112

G. T. Adamashvili

引用次数: 0

Tricritical point as a crossover between type-I$_s$ and type-II$_s$ bifurcations 三临界点是 I_s$ 型和 II_s$ 型分岔的交叉点

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-06-27 DOI: arxiv-2407.00109

Prabakaran Rajamanickam, Joel Daou

引用次数: 0

Tricritical point as a crossover between type-I$_s$ and type-II$_s$ bifurcations 三临界点是 I_s$ 型和 II_s$ 型分岔的交叉点

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-06-27 DOI: arxiv-2407.00109

Prabakaran Rajamanickam, Joel Daou

引用次数: 0

Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties 磁性介质中的受限婴孩 Skyrme-Maxwell 理论：BPS构型和一些特性

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-06-26 DOI: arxiv-2406.18357

J. Andrade, R. Casana, E. da Hora, A. C. Santos

{"title":"Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties","authors":"J. Andrade, R. Casana, E. da Hora, A. C. Santos","doi":"arxiv-2406.18357","DOIUrl":"https://doi.org/arxiv-2406.18357","url":null,"abstract":"We study the existence of BPS configurations in a restricted baby\u0000Skyrme-Maxwell enlarged via the inclusion of a nontrivial magnetic\u0000permeability. In order to attain such a goal, we use the\u0000Bogomol'nyi-Prasad-Sommerfield prescription, which allows us to obtain the\u0000lower bound for the energy and the BPS equations whose [electrically neutral]\u0000solutions saturate that bound. During the energy minimization procedure, we\u0000find a differential constraint which involves the self-dual potential, the\u0000superpotential itself and also the magnetic permeability. In order to solve the\u0000BPS system, we focus our attention on those solutions with rotational symmetry.\u0000For that, we fix the magnetic permeability and select two BPS potentials which\u0000exhibit a similar behavior near to the vacuum. We depict the resulting profiles\u0000and proceed to an analytical description of the properties of the BPS magnetic\u0000field. Furthermore, we consider some essential aspects of our model, such as\u0000the conditions for the overall existence of the BPS solutions, and how the\u0000permeability affects the magnetic flux. Finally, we present a family of exact\u0000BPS solutions.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"198 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509597","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

Dynamics of multidimensional fundamental and vortex solitons in random media 随机介质中的多维基本孤子和涡旋孤子动力学

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-06-25 DOI: arxiv-2406.17939

Volodymyr M. Lashkin

{"title":"Dynamics of multidimensional fundamental and vortex solitons in random media","authors":"Volodymyr M. Lashkin","doi":"arxiv-2406.17939","DOIUrl":"https://doi.org/arxiv-2406.17939","url":null,"abstract":"We study the dynamics of fundamental and vortex solitons in the framework of\u0000the nonlinear Schr\"{o}dinger equation with the spatial dimension $Dgeqslant\u00002$ with a multiplicative random term depending on the time and space\u0000coordinates. To this end, we develop a new technique for calculating the even\u0000moments of the $N$th order. The proposed formalism does not use closure\u0000procedures for the nonlinear term, as well as the smallness of the random term\u0000and the use of perturbation theory. The essential point is the quadratic form\u0000of the autocorrelation function of the random field and the special stochastic\u0000change of variables. Using variational analysis to determine the field of\u0000structures in the deterministic case, we analytically calculate a number of\u0000statistical characteristics describing the dynamics of fundamental and vortex\u0000solitons in random medium, such as the mean intensities, the variance of the\u0000intensity, the centroid and spread of the structures, the spatial mutual\u0000coherence function etc. In particular, we show that, under the irreversible\u0000action of fluctuations, the solitons spread out, i.e., no collapse occurs.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509592","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

Effect of clustering on Turing instability in complex networks 聚类对复杂网络图灵不稳定性的影响

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-06-25 DOI: arxiv-2406.17440

Samana Pranesh, Devanand Jaiswal, Sayan Gupta

引用次数: 0

Voltage-controlled non-axisymmetric vibrations of soft electro-active tubes with strain-stiffening effect 具有应变刚度效应的软电动管的电压控制非轴对称振动

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-06-19 DOI: arxiv-2406.13483

F. Zhu, B. Wu, M. Destrade, H. Wang, R. Bao, W. Chen

{"title":"Voltage-controlled non-axisymmetric vibrations of soft electro-active tubes with strain-stiffening effect","authors":"F. Zhu, B. Wu, M. Destrade, H. Wang, R. Bao, W. Chen","doi":"arxiv-2406.13483","DOIUrl":"https://doi.org/arxiv-2406.13483","url":null,"abstract":"Material properties of soft electro-active (SEA) structures are significantly\u0000sensitive to external electro-mechanical biasing fields (such as pre-stretch\u0000and electric stimuli), which generate remarkable knock-on effects on their\u0000dynamic characteristics. In this work, we analyze the electrostatically tunable\u0000non-axisymmetric vibrations of an incompressible SEA cylindrical tube under the\u0000combination of a radially applied electric voltage and an axial pre-stretch.\u0000Following the theory of nonlinear electro-elasticity and the associated\u0000linearized theory for superimposed perturbations, we derive the nonlinear\u0000static response of the SEA tube to the inhomogeneous biasing fields for the\u0000Gent ideal dielectric model. Using the State Space Method, we efficiently\u0000obtain the frequency equations for voltage-controlled small-amplitude\u0000three-dimensional non-axisymmetric vibrations, covering a wide range of\u0000behaviors, from the purely radial breathing mode to torsional modes,\u0000axisymmetric longitudinal modes, and prismatic diffuse modes. We also perform\u0000an exhaustive numerical analysis to validate the proposed approach compared\u0000with the conventional displacement method, as well as to elucidate the\u0000influences of the applied voltage, axial pre-stretch, and strain-stiffening\u0000effect on the nonlinear static response and vibration behaviors of the SEA\u0000tube. The present study clearly indicates that manipulating electro-mechanical\u0000biasing fields is a feasible way to tune the small-amplitude vibration\u0000characteristics of an SEA tube. The results should benefit experimental work\u0000on, and design of, voltage-controlled resonant devices made of SEA tubes.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509596","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