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Attochaos I: The classically chaotic postcursor of high harmonic generation Attochaos I：高次谐波产生的经典混沌后现代
arXiv - PHYS - Classical Physics Pub Date : 2024-05-09 DOI: arxiv-2405.05804
Jonathan Berkheim, David J. Tannor
{"title":"Attochaos I: The classically chaotic postcursor of high harmonic generation","authors":"Jonathan Berkheim, David J. Tannor","doi":"arxiv-2405.05804","DOIUrl":"https://doi.org/arxiv-2405.05804","url":null,"abstract":"Attosecond physics provides unique insights into light-matter interaction on\u0000ultrafast time scales. Its core phenomenon, High Harmonic Generation (HHG), is\u0000often described by a classical recollision model, the simple-man or three-step\u0000model, where the atomic potential is disregarded. Many features are already\u0000well explained using this model; however, the simplicity of the model does not\u0000allow the possibility of classical chaotic motion. We show that beyond this\u0000model, classical chaotic motion does exist albeit on timescales that are\u0000generally longer than the first recollision time. Chaos is analyzed using tools\u0000from the theory of dynamical systems, such as Lyapunov exponents and\u0000stroboscopic maps. The calculations are done for a one-dimensional Coulomb\u0000potential subjected to a linearly polarized electric field.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"124 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140925685","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
Classical Acceleration Temperature (CAT) in a Box 盒装经典加速度温度 (CAT)
arXiv - PHYS - Classical Physics Pub Date : 2024-05-06 DOI: arxiv-2405.04553
Ahsan Mujtaba, Maksat Temirkhan, Yen Chin Ong, Michael R. R. Good
{"title":"Classical Acceleration Temperature (CAT) in a Box","authors":"Ahsan Mujtaba, Maksat Temirkhan, Yen Chin Ong, Michael R. R. Good","doi":"arxiv-2405.04553","DOIUrl":"https://doi.org/arxiv-2405.04553","url":null,"abstract":"A confined, slow-moving, accelerating electron is shown to emit thermal\u0000radiation. Since laboratories face spatial constraints when dealing with\u0000rectilinear motion, focusing on a finite total travel distance combines the\u0000benefits of simple theoretical analysis with prospects for table-top\u0000experimentation. We demonstrate an accelerated moving charge along an\u0000asymptotically static worldline with fixed transit distance and slow maximum\u0000speed, emitting self-consistent analytic power, spectra, and energy. The\u0000classical radiation is Planck distributed with an associated acceleration\u0000temperature. This is the first fully parametrized, spectrum-solved,\u0000finite-distance worldline.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"154 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140925690","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
Fully Reversing the Shoebox Image Source Method: From Impulse Responses to Room Parameters 完全逆转鞋盒图像源方法：从脉冲响应到房间参数
arXiv - PHYS - Classical Physics Pub Date : 2024-05-06 DOI: arxiv-2405.03385
Tom SprunckIRMA, Antoine DeleforgeIRMA, Yannick PrivatIECL, SPHINX, IUF, Cédric FoyUMRAE, Cerema Direction Est
{"title":"Fully Reversing the Shoebox Image Source Method: From Impulse Responses to Room Parameters","authors":"Tom SprunckIRMA, Antoine DeleforgeIRMA, Yannick PrivatIECL, SPHINX, IUF, Cédric FoyUMRAE, Cerema Direction Est","doi":"arxiv-2405.03385","DOIUrl":"https://doi.org/arxiv-2405.03385","url":null,"abstract":"We present an algorithm that fully reverses the shoebox image source method\u0000(ISM), a popular and widely used room impulse response (RIR) simulator for\u0000cuboid rooms introduced by Allen and Berkley in 1979. More precisely, given a\u0000discrete multichannel RIR generated by the shoebox ISM for a microphone array\u0000of known geometry, the algorithm reliably recovers the 18 input parameters.\u0000These are the 3D source position, the 3 dimensions of the room, the\u00006-degrees-of-freedom room translation and orientation, and an absorption\u0000coefficient for each of the 6 room boundaries. The approach builds on a\u0000recently proposed gridless image source localization technique combined with\u0000new procedures for room axes recovery and first-order-reflection\u0000identification. Extensive simulated experiments reveal that near-exact recovery\u0000of all parameters is achieved for a 32-element, 8.4-cm-wide spherical\u0000microphone array and a sampling rate of 16~kHz using fully randomized input\u0000parameters within rooms of size 2X2X2 to 10X10X5 meters. Estimation errors\u0000decay towards zero when increasing the array size and sampling rate. The method\u0000is also shown to strongly outperform a known baseline, and its ability to\u0000extrapolate RIRs at new positions is demonstrated. Crucially, the approach is\u0000strictly limited to low-passed discrete RIRs simulated using the vanilla\u0000shoebox ISM. Nonetheless, it represents to our knowledge the first algorithmic\u0000demonstration that this difficult inverse problem is in-principle fully\u0000solvable over a wide range of configurations.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881729","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
Stochastic Dissipative Euler's equations for a free body 自由体的随机耗散欧拉方程
arXiv - PHYS - Classical Physics Pub Date : 2024-04-25 DOI: arxiv-2404.16613
J. A. de la Torre, J. Sánchez-Rodríguez, Pep Español
{"title":"Stochastic Dissipative Euler's equations for a free body","authors":"J. A. de la Torre, J. Sánchez-Rodríguez, Pep Español","doi":"arxiv-2404.16613","DOIUrl":"https://doi.org/arxiv-2404.16613","url":null,"abstract":"Intrinsic thermal fluctuations within a real solid challenge the rigid body\u0000assumption that is central to Euler's equations for the motion of a free body.\u0000Recently, we have introduced a dissipative and stochastic version of Euler's\u0000equations in a thermodynamically consistent way (European Journal of Mechanics\u0000- A/Solids 103, 105184 (2024)). This framework describes the evolution of both\u0000orientation and shape of a free body, incorporating internal thermal\u0000fluctuations and their concomitant dissipative mechanisms. In the present work,\u0000we demonstrate that, in the absence of angular momentum, the theory predicts\u0000that principal axis unit vectors of a body undergo an anisotropic Brownian\u0000motion on the unit sphere, with the anisotropy arising from the body's varying\u0000moments of inertia. The resulting equilibrium time correlation function of the\u0000principal eigenvectors decays exponentially. This theoretical prediction is\u0000confirmed in molecular dynamics simulations of small bodies. The comparison of\u0000theory and equilibrium MD simulations allow us to measure the orientational\u0000diffusion tensor. We then use this information in the Stochastic Dissipative\u0000Euler's Equations, to describe a non-equilibrium situation of a body spinning\u0000around the unstable intermediate axis. The agreement between theory and\u0000simulations is excellent, offering a validation of the theoretical framework.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140798418","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
Nonlinear dynamics of a hanging string with a freely pivoting attached mass 带有自由转动附着质量的悬挂绳的非线性动力学
arXiv - PHYS - Classical Physics Pub Date : 2024-04-25 DOI: arxiv-2404.16531
Filip Novkoski, Jules Fillette, Chi-Tuong Pham, Eric Falcon
{"title":"Nonlinear dynamics of a hanging string with a freely pivoting attached mass","authors":"Filip Novkoski, Jules Fillette, Chi-Tuong Pham, Eric Falcon","doi":"arxiv-2404.16531","DOIUrl":"https://doi.org/arxiv-2404.16531","url":null,"abstract":"We show that the natural resonant frequency of a suspended flexible string is\u0000significantly modified (by one order of magnitude) by adding a freely pivoting\u0000attached mass at its lower end. This articulated system then exhibits complex\u0000nonlinear dynamics such as bending oscillations, similar to those of a swing\u0000becoming slack, thereby strongly modifying the system resonance that is found\u0000to be controlled by the length of the pivoting mass. The dynamics is\u0000experimentally studied using a remote and noninvasive magnetic parametric\u0000forcing. To do so, a permanent magnet is suspended by a flexible string above a\u0000vertically oscillating conductive plate. Harmonic and period-doubling\u0000instabilities are experimentally reported and are modeled using the Hill\u0000equation, leading to analytical solutions that accurately describe the\u0000experimentally observed tonguelike instability curves.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140798443","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
A general multi-wave quasi-resonance theory for lattice energy diffusion 晶格能量扩散的一般多波准共振理论
arXiv - PHYS - Classical Physics Pub Date : 2024-04-23 DOI: arxiv-2404.15147
Wei Lin, Weicheng Fu, Zhen Wang, Yong Zhang, Hong Zhao
{"title":"A general multi-wave quasi-resonance theory for lattice energy diffusion","authors":"Wei Lin, Weicheng Fu, Zhen Wang, Yong Zhang, Hong Zhao","doi":"arxiv-2404.15147","DOIUrl":"https://doi.org/arxiv-2404.15147","url":null,"abstract":"In this letter, a multi-wave quasi-resonance framework is established to\u0000analyze energy diffusion in classical lattices, uncovering that it is\u0000fundamentally determined by the characteristics of eigenmodes. Namely, based on\u0000the presence and the absence of extended modes, lattices fall into two\u0000universality classes with qualitatively different thermalization behavior. In\u0000particular, we find that while the one with extended modes can be thermalized\u0000under arbitrarily weak perturbations in the thermodynamic limit, the other\u0000class can be thermalized only when perturbations exceed a certain threshold,\u0000revealing for the first time the possibility that a lattice cannot be\u0000thermalized, violating the hypothesis of statistical mechanics. Our study\u0000addresses conclusively the renowned Fermi-Pasta-Ulam-Tsingou problem for large\u0000systems under weak perturbations, underscoring the pivotal roles of both\u0000extended and localized modes in facilitating energy diffusion and\u0000thermalization processes.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140798522","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
Optimal sizing of 1D vibrating columns accounting for axial compression and self-weight 考虑轴向压缩和自重的一维振动柱的优化设计
arXiv - PHYS - Classical Physics Pub Date : 2024-04-23 DOI: arxiv-2404.15536
Federico Ferrari
{"title":"Optimal sizing of 1D vibrating columns accounting for axial compression and self-weight","authors":"Federico Ferrari","doi":"arxiv-2404.15536","DOIUrl":"https://doi.org/arxiv-2404.15536","url":null,"abstract":"We investigate the effect of axial compression on the optimal design of\u0000columns, for the maximization of the fundamental vibration frequency. The\u0000compression may be due to a force at the columns' tip or to a load distributed\u0000along its axis, which may act either independently or simultaneously. We\u0000discuss the influence of these contributions on the optimality conditions, and\u0000show how the optimal beam design, and the corresponding frequency gain\u0000drastically change with the level of compression. We also discuss the indirect\u0000effect of frequency optimization on the critical load factors for the tip\u0000($lambda_{P}$) and distributed ($lambda_{Q}$) loads. Finally, we provide some\u0000quantitative results for the optimal design problem parametrized by the triple\u0000($lambda_{P}$, $lambda_{Q}$, $Omega^{2}$) of buckling and dynamic\u0000eigenvalues.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"52 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140798519","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
Eclectic Notes on Uncertainty, Information, and Classical Dynamics 关于不确定性、信息和经典动力学的折衷笔记
arXiv - PHYS - Classical Physics Pub Date : 2024-04-21 DOI: arxiv-2404.13511
Sagar Chakraborty
{"title":"Eclectic Notes on Uncertainty, Information, and Classical Dynamics","authors":"Sagar Chakraborty","doi":"arxiv-2404.13511","DOIUrl":"https://doi.org/arxiv-2404.13511","url":null,"abstract":"Information is everywhere in nature which is very uncertain and\u0000unpredictable. But information, in itself, is a very ambiguous term. In this\u0000cursory write-up, we attempt to understand the formal meaning of information by\u0000quantifying uncertainty and discuss how it naturally appears in two core topics\u0000of classical physics -- classical mechanics and statistical mechanics. In the\u0000process, we witness how the concepts of the information theory render a unique\u0000viewpoint in physics. Except for the presentation of the material, the author\u0000claims no originality; however, the responsibility of every inadvertent error\u0000lies entirely with the author.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"82 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140798617","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
Point-Charge Models and Averages for Electromagnetic Quantities Considered in Two Relativistic Inertial Frames 两个相对论惯性系中考虑的电磁量的点电荷模型和平均值
arXiv - PHYS - Classical Physics Pub Date : 2024-04-15 DOI: arxiv-2404.10129
Timothy H. Boyer
{"title":"Point-Charge Models and Averages for Electromagnetic Quantities Considered in Two Relativistic Inertial Frames","authors":"Timothy H. Boyer","doi":"arxiv-2404.10129","DOIUrl":"https://doi.org/arxiv-2404.10129","url":null,"abstract":"Electromagnetic quantities at a spacetime point have tensor Lorentz\u0000transformations between relatively-moving inertial frames. However, since the\u0000Lorentz transformation of time between inertial frames depends upon both the\u0000time and space coordinates, averages of electrodynamic quantities at a single\u0000time will in general depend upon the inertial frame, and will differ between\u0000inertial frames. Here we illustrate how the use of continuous charge and\u0000current distributions rather than point-charge distributions can lead to\u0000physically mystifying and even inaccurate results for electromagnetic\u0000quantities and physical phenomena. The discrepancy noted between the average\u0000electric field values in different inertial frames is particularly striking\u0000because it is first order in the relative velocity between the frames.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140609208","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
Seashell-inspired polarization-sensitive tonotopic metasensor 受贝壳启发的偏振敏感声调元传感器
arXiv - PHYS - Classical Physics Pub Date : 2024-04-11 DOI: arxiv-2404.07529
Y. Liu, V. F. Dal Poggetto, A. S. Gliozzi, N. M. Pugno, F. Bosia, M. Tortello
{"title":"Seashell-inspired polarization-sensitive tonotopic metasensor","authors":"Y. Liu, V. F. Dal Poggetto, A. S. Gliozzi, N. M. Pugno, F. Bosia, M. Tortello","doi":"arxiv-2404.07529","DOIUrl":"https://doi.org/arxiv-2404.07529","url":null,"abstract":"Bioinspiration has widely been demonstrated to be a powerful approach for the\u0000design of innovative structures and devices. Recently, this concept has been\u0000extended to the field of elasticity, dynamics, and metamaterials. In this\u0000paper, we propose a seashell-inspired metasensor that can simultaneously\u0000perform spatial frequency mapping and act as a polarizer. The structure emerges\u0000from a universal parametric design that encompasses diverse spiral geometries\u0000with varying circular cross sections and curvature radii, all leading to\u0000tonotopic behavior. Adoption of an optimization process leads to a planar\u0000geometry that enables us to simultaneously achieve tonotopy for orthogonally\u0000polarized modes, leading to the possibility to control polarization as well as\u0000the spatial distribution of frequency maxima along the spiral axis. We\u0000demonstrate the versatility of the device and discuss the possible applications\u0000in the field of acoustics and sensing.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"48 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140601746","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
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