arXiv - PHYS - General Physics最新文献_第3页

Higher order mass aggregation terms in a nonlinear predator-prey model maintain limit cycle stability in Saturn's F ring 非线性捕食者-猎物模型中的高阶质量聚集项维持土星 F 环的极限循环稳定性

arXiv - PHYS - General Physics Pub Date : 2024-07-24 DOI: arxiv-2407.17538

Omar El Deeb

{"title":"Higher order mass aggregation terms in a nonlinear predator-prey model maintain limit cycle stability in Saturn's F ring","authors":"Omar El Deeb","doi":"arxiv-2407.17538","DOIUrl":"https://doi.org/arxiv-2407.17538","url":null,"abstract":"We consider a generic higher order mass aggregation term for interactions\u0000between particles exhibiting oscillatory clumping and disaggregation behavior\u0000in the F ring of Saturn, using a novel predator-prey model that relates the\u0000mean mass aggregate (prey) and the square of the relative dispersion velocity\u0000(predator) of the interacting particles. The resulting cyclic dynamic behavior\u0000is demonstrated through time series plots, phase portraits and their\u0000stroboscopic phase maps. Employing an eigenvalue stability analysis of the Jacobian of the system, we\u0000find out that there are two distinct regimes depending on the exponent and the\u0000amplitude of the higher order interactions of the nonlinear mass term. In\u0000particular, the system exhibits a limit cycle oscillatory stable behavior for a\u0000range of values of these parameters and a non-cyclic behavior for another\u0000range, separated by a curve across which phase transitions would occur between\u0000the two regimes. This shows that the observed clumping dynamics in Saturn's F\u0000ring, corresponding to a limit cycle stability regime, can be systematically\u0000maintained in presence of physical higher order mass aggregation terms in the\u0000introduced model.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771044","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

Axion Physics from String Theory: Cosmological Signatures in Dark Matter and Inflation 弦理论中的轴子物理学：暗物质和膨胀中的宇宙学特征

arXiv - PHYS - General Physics Pub Date : 2024-07-22 DOI: arxiv-2407.15379

Vaidik A Sharma

引用次数: 0

The holographic principle comes from finiteness of the universe's geometry 全息原理源于宇宙几何的有限性

arXiv - PHYS - General Physics Pub Date : 2024-07-17 DOI: arxiv-2407.14551

Arkady Bolotin

引用次数: 0

Fractional Particle with Fractional First Derivatives 带分数一阶导数的分数粒子

arXiv - PHYS - General Physics Pub Date : 2024-07-17 DOI: arxiv-2407.14552

A. V. Crisan, C. M. Porto, C. F. L. Godinho, I. V. Vancea

引用次数: 0

Gauge fields and four interactions in the trigintaduonion spaces 三元二次元空间中的量子场和四种相互作用

arXiv - PHYS - General Physics Pub Date : 2024-07-17 DOI: arxiv-2407.18265

Zi-Hua Weng

{"title":"Gauge fields and four interactions in the trigintaduonion spaces","authors":"Zi-Hua Weng","doi":"arxiv-2407.18265","DOIUrl":"https://doi.org/arxiv-2407.18265","url":null,"abstract":"The paper aims to apply the trigintaduonion spaces to explore the physical\u0000properties of four interactions simultaneously, including the electromagnetic\u0000fields, gravitational fields, weak nuclear fields, and strong nuclear fields.\u0000J. C. Maxwell first applied the algebra of quaternions to study the physical\u0000properties of electromagnetic fields. It inspired some subsequent scholars to\u0000introduce the quaternions, octonions, sedenions, and trigintaduonions to\u0000research the electromagnetic fields, gravitational fields, weak nuclear fields,\u0000strong nuclear fields, quantum mechanics, gauge fields, and curved spaces and\u0000so forth. The algebra of trigintaduonions is able to discuss the physical\u0000quantities of four interactions, including the field potential, field strength,\u0000field source, linear momentum, angular momentum, torque, and force. In the\u0000field theories described with the algebra of trigintaduonions, the weak nuclear\u0000field is composed of three types of fundamental fields. These three fundamental\u0000fields, related to weak nuclear fields, can describe the physical properties of\u0000weak nuclear fields collectively. This is consistent with the conclusion of the\u0000electroweak theory. Meanwhile the strong nuclear field consists of three types\u0000of fundamental fields. These three fundamental fields relevant to strong\u0000nuclear fields may investigate the physical properties of strong nuclear fields\u0000mutually. It is coincident with the deduction of quark theory. According to the\u0000properties of trigintaduonions, one can deduce the Yang-Mills equation related\u0000to the gauge fields. It means that the electromagnetic field occupies a\u0000quaternion space. The gravitational field owns one different quaternion space.\u0000The weak nuclear fields occupy three mutually independent quaternion spaces.\u0000The properties of weak nuclear fields are different from those of\u0000electromagnetic fields or gravitational fields.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141867574","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

Comment on "Indefinitely Flat Circular Velocities and the Baryonic Tully-Fisher Relation from Weak Lensing" 关于 "从弱透镜看无限平坦的圆周速度和重子图利-费舍尔关系 "的评论

arXiv - PHYS - General Physics Pub Date : 2024-07-16 DOI: arxiv-2407.18263

Davor Palle

引用次数: 0

Extended phase space thermodynamics of magnetized black holes with nonlinear electrodynamics 具有非线性电动力学的磁化黑洞的扩展相空间热力学

arXiv - PHYS - General Physics Pub Date : 2024-07-10 DOI: arxiv-2407.14534

S. I. Kruglov

引用次数: 0

A String-Graph Approach to Molecular Geometry 分子几何的弦图方法

arXiv - PHYS - General Physics Pub Date : 2024-07-10 DOI: arxiv-2407.14533

Sebastian Ali Sacasa Cespedes

{"title":"A String-Graph Approach to Molecular Geometry","authors":"Sebastian Ali Sacasa Cespedes","doi":"arxiv-2407.14533","DOIUrl":"https://doi.org/arxiv-2407.14533","url":null,"abstract":"Introduction: molecular geometry, the three-dimensional arrangement of atoms\u0000within a molecule, is fundamental to understanding chemical reactivity,\u0000physical properties, and biological activity. The prevailing models used to\u0000describe molecular geometry include the Valence Shell Electron Pair Repulsion\u0000(VSEPR) theory, hybridization theory, and molecular orbital theory. While these\u0000models provide significant insights, they also have inherent limitations.\u0000Applying string theory and graph theory with topological and macrotensorial\u0000methods could improve the understanding of molecular behavior. Objective:\u0000explore the potential applications of string and graph theory to material\u0000science, focusing on molecular geometry, electron domains, and phase changes\u0000via symmetries. Molecular geometry: each molecule is associated with a simple\u0000graph with an orthonormal representation inducing metrics via the usage of\u0000macrotensor operators, allowing the calculation of angles between molecules and\u0000following the equations of motion. Phase changes: a series of inequalities are\u0000proposed depending on the energy-momentum densities of bonds and the edges of\u0000the associated graph where electrons or atoms are located, its topology, and\u0000isometries, exploring possible new states of matter. Conclusions: application\u0000of macrotensors, graphs, and string theory to material science, specifically to\u0000molecular geometry and phase changes, allows for a more dynamic and flexible\u0000description of natural phenomena involving matter and the prediction of\u0000possible new states of matter. This presents a different perspective, opening\u0000possibilities for experimental confirmation and applications of the approach\u0000presented here.","PeriodicalId":501190,"journal":{"name":"arXiv - PHYS - General Physics","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771098","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

Padmanabhan's Boundary Variational Principle for Electrodynamics and Yang-Mills Theory 帕德马纳班电动力学和杨-米尔斯理论的边界变分原理

arXiv - PHYS - General Physics Pub Date : 2024-07-09 DOI: arxiv-2407.14531

Benjamin Koch

引用次数: 0

Spacetime representation of quantum mechanics and a proposal for quantum gravity 量子力学的时空表征和量子引力提案

arXiv - PHYS - General Physics Pub Date : 2024-07-08 DOI: arxiv-2407.14528

Hong Wang, Jin Wang

引用次数: 0