发布求助
文献互助 智能选刊 最新文献

arXiv - PHYS - Classical Physics最新文献

筛选
英文 中文
Allosteric propagation of curvature along filament 沿着丝线传播曲率的异化作用
arXiv - PHYS - Classical Physics Pub Date : 2024-07-15 DOI: arxiv-2407.10826
Ken Sekimoto
{"title":"Allosteric propagation of curvature along filament","authors":"Ken Sekimoto","doi":"arxiv-2407.10826","DOIUrl":"https://doi.org/arxiv-2407.10826","url":null,"abstract":"Can a filament transmit the curvatures across the constituting modules and\u0000control them at one of its end? Inspired by the observation of protofilament -\u0000constituent biopolymer of microtubule - this question is addressed by a\u0000constructive approach. In our model a simple allosteric element in each module\u0000couples with the neighboring modules at its interfaces, which gives rise to a\u0000single degree of freedom to control the global shape of the filament. The model\u0000can be analyzed in analogy with discrete-time dynamical systems having a\u0000bifurcation of trans-critical type.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720063","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
General solution to Euler-Poisson equations of a free symmetric body by direct summation of power series 用幂级数直接求和法求解自由对称体的欧拉-泊松方程的一般解法
arXiv - PHYS - Classical Physics Pub Date : 2024-07-14 DOI: arxiv-2407.10326
Guilherme Corrêa Silva
{"title":"General solution to Euler-Poisson equations of a free symmetric body by direct summation of power series","authors":"Guilherme Corrêa Silva","doi":"arxiv-2407.10326","DOIUrl":"https://doi.org/arxiv-2407.10326","url":null,"abstract":"Euler-Poisson equations belong to the class of first-order differential\u0000equations for determining the integral lines of a given vector field. The\u0000general solution to these equations can be written as a power series of the\u0000evolution parameter. We calculated the sum of these series for the case of a\u0000free symmetric body, obtaining its rotation matrix through the elementary\u0000functions.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720062","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
Non-Bloch band theory for time-modulated discrete mechanical systems 时间调制离散机械系统的非布洛赫带理论
arXiv - PHYS - Classical Physics Pub Date : 2024-07-13 DOI: arxiv-2407.09871
Kei Matsushima, Takayuki Yamada
{"title":"Non-Bloch band theory for time-modulated discrete mechanical systems","authors":"Kei Matsushima, Takayuki Yamada","doi":"arxiv-2407.09871","DOIUrl":"https://doi.org/arxiv-2407.09871","url":null,"abstract":"This study establishes a non-Bloch band theory for time-modulated discrete\u0000mechanical systems. We consider simple mass-spring chains whose stiffness is\u0000periodically modulated in time. Using the temporal Floquet theory, the system\u0000is characterized by linear algebraic equations in terms of Fourier\u0000coefficients. This allows us to employ a standard linear eigenvalue analysis.\u0000Unlike non-modulated linear systems, the time modulation makes the coefficient\u0000matrix non-Hermitian, which gives rise to, for example, parametric resonance,\u0000non-reciprocal wave transmission, and non-Hermitian skin effects. In\u0000particular, we study finite-length chains consisting of spatially periodic\u0000mass-spring units and show that the standard Bloch band theory is not valid for\u0000estimating their eigenvalue distribution. To remedy this, we propose a\u0000non-Bloch band theory based on a generalized Brillouin zone. The proposed\u0000theory is verified by some numerical experiments.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720064","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
Numerical Analysis on the Spatiotemporal Characteristics of the Portevin-Le Chatelier Effect in Ti-12Mo Alloy 钛-12Mo 合金中波特文-勒夏特列效应时空特征的数值分析
arXiv - PHYS - Classical Physics Pub Date : 2024-07-12 DOI: arxiv-2407.09054
Shiyuan LuoIRDL, Yongxin JiangIRDL, Sandrine ThuillierIRDL, Philippe CastanyISCR, Liangcai Zeng
{"title":"Numerical Analysis on the Spatiotemporal Characteristics of the Portevin-Le Chatelier Effect in Ti-12Mo Alloy","authors":"Shiyuan LuoIRDL, Yongxin JiangIRDL, Sandrine ThuillierIRDL, Philippe CastanyISCR, Liangcai Zeng","doi":"arxiv-2407.09054","DOIUrl":"https://doi.org/arxiv-2407.09054","url":null,"abstract":"A simplified 3D FE model based on McCormick's model is developed to\u0000numerically predict the spatiotemporal behaviors of the PLC effect in Ti-12Mo\u0000alloy tensile tests at 350 degrees C with strain rates from the order of\u0000$10^{-4}$ s$^{-1}$ to $10^{-2}$ s$^{-1}$. The material parameter identification\u0000procedure is firstly presented in details, and the simulated results are highly\u0000consistent with experimental ones, especially in terms of stress drop\u0000magnitudes and PLC band widths. The distribution of simulated stress drop\u0000magnitudes at a constant tensile velocity (0.01 mm/s) follows a normal\u0000distribution and its peak value is in the range of 26-28 MPa. Furthermore, the\u0000simulated band width slightly fluctuates with the increase of true strain and\u0000its average value is about 1.5 mm. Besides, the staircase behavior of\u0000strain-time curves and the hopping propagation of the PLC band are observed in\u0000Ti-12Mo alloy tensile process, which are related to the strain localization and\u0000stress drop magnitudes.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720065","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
Connecting Q to TCF for MEMS and piezoelectric resonators 将 Q 值与 TCF 连接，用于 MEMS 和压电谐振器
arXiv - PHYS - Classical Physics Pub Date : 2024-07-12 DOI: arxiv-2407.09455
S. McHugh
{"title":"Connecting Q to TCF for MEMS and piezoelectric resonators","authors":"S. McHugh","doi":"arxiv-2407.09455","DOIUrl":"https://doi.org/arxiv-2407.09455","url":null,"abstract":"Two critical characteristics for any MEMS resonator are the quality factor\u0000($Q$) and the temperature coefficient of frequency ($TCF$). The connection\u0000between $Q$ and $TCF$ is demonstrated here with a phenomenological anharmonic\u0000oscillator model. Specifically, it is shown that the same nonlinear terms\u0000responsible for the $TCF$ set an upper limit on the resonator's $Q$. A concise\u0000formula is found to estimate this loss and is shown to be closely related to\u0000Woodruff's formula for Akhiezer damping. The use of this formula is illustrated\u0000by extending the model to an important class of MEMS; piezoelectric resonators.\u0000Finally, the model is applied to published data for an AlN-on-diamond\u0000piezoelectric resonator. The focus here is on MEMS resonators, but the method\u0000should apply broadly to any resonance with non-zero $TCF$.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"65 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720066","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
Unveiling the Asymmetry in Density within the Shear Bands of Metallic Glasses 揭示金属玻璃剪切带内密度的不对称性
arXiv - PHYS - Classical Physics Pub Date : 2024-07-10 DOI: arxiv-2407.07733
Harald Rösner, Arabinda Bera, Alessio Zaccone
{"title":"Unveiling the Asymmetry in Density within the Shear Bands of Metallic Glasses","authors":"Harald Rösner, Arabinda Bera, Alessio Zaccone","doi":"arxiv-2407.07733","DOIUrl":"https://doi.org/arxiv-2407.07733","url":null,"abstract":"Plastic deformation in metallic glasses at room temperature leads to the\u0000development of shear bands due to shear localization. In many experiments,\u0000shear bands have shown local density variations along their path, with a\u0000distinct imbalance in magnitude between local densification and dilation.\u0000However, a comprehensive mechanistic understanding or theory to explain this\u0000asymmetry has been lacking until now. Here, we introduce a new model that\u0000consists of a sequential arrangement of alternating topological 'charges',\u0000generating a dipolar field. The resulting microscopic displacement field, when\u0000integrated into the deformation gradient tensor, provides an accurate\u0000analytical solution for the observed imbalances in the density variations. The\u0000implications of this method are discussed, highlighting the potential to\u0000elucidate a broader range of observations in shear bands.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141588044","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
Elastic rods and elastic spinning rings as gravitational wave detectors 作为引力波探测器的弹性棒和弹性旋转环
arXiv - PHYS - Classical Physics Pub Date : 2024-07-10 DOI: arxiv-2407.07547
José Natário, Amol Sasane, Rodrigo Vicente
{"title":"Elastic rods and elastic spinning rings as gravitational wave detectors","authors":"José Natário, Amol Sasane, Rodrigo Vicente","doi":"arxiv-2407.07547","DOIUrl":"https://doi.org/arxiv-2407.07547","url":null,"abstract":"Linearised relativistic elasticity equations of motion are considered for a\u0000rod and a spinning ring encountering a gravitational wave. In the case of the\u0000rod, the equations reduce to a wave equation with appropriate boundary\u0000conditions. Using Fourier transforms, the resonant frequencies are found and an\u0000explicit distributional solution is given, both for a plus- and a\u0000cross-polarised gravitational wave. In the case of the spinning ring, the\u0000equations are coupled wave equations with periodic boundary conditions. Using a\u0000Fourier series expansion, the system of wave equations is recast as a family of\u0000ordinary differential equations for the Fourier coefficients, which are then\u0000solved via Fourier transforms. The resonant frequencies are found, including\u0000simple approximate expressions for slowly rotating rings, and an explicit\u0000distributional solution is obtained in the case of the non-spinning ring.\u0000Interestingly, it is possible to tune the resonant frequencies by adjusting the\u0000angular velocity of the spinning ring.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141588045","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
Electromagnetic Response Theory with Relativistic Corrections: Selfconsistency and Validity of Variables 电磁响应理论与相对论修正：变量的自洽性和有效性
arXiv - PHYS - Classical Physics Pub Date : 2024-07-09 DOI: arxiv-2407.09570
Kikuo Cho
{"title":"Electromagnetic Response Theory with Relativistic Corrections: Selfconsistency and Validity of Variables","authors":"Kikuo Cho","doi":"arxiv-2407.09570","DOIUrl":"https://doi.org/arxiv-2407.09570","url":null,"abstract":"Schr\"odinger-Pauli equation (SP-eq) derived from weakly relativistic\u0000approximation (WRA) of Dirac eq, combined with Electromagnetic (EM) field\u0000Lagrangian for variational principle, is expected to give a new level of EM\u0000response theory. A complete process of this formulation within the second order\u0000WRA is given, with explicit forms of charge and current densities, $rho ,\u0000vec{J}$, and electric and magnetic polarizations, $vec{P}$, $vec{M}$\u0000containing correction terms. They fulfill, not only the continuity equation,\u0000but also the relations $nabla cdot vec{P}=-rho, partial vec{P}/partial\u0000t + c nabla times vec{M} = vec{J}$, known in the classical EM theory for\u0000the corresponding macroscopic variables. This theory should be able to describe\u0000all the EM responses within the second order WRA, and the least necessary\u0000variables are ${phi, vec{A}, rho, vec{J}}$ (six independent components).\u0000From this viewpoint, there emerges a problem about the use of \"spin current\"\u0000popularly discussed in spintronics, because it does not belong to the group of\u0000least necessary variables.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720007","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 locus formed by the maximum heights of an ultra-relativistic projectile 关于超相对论弹丸最大高度所形成的区域
arXiv - PHYS - Classical Physics Pub Date : 2024-07-08 DOI: arxiv-2407.05612
Salvatore De Vincenzo
{"title":"On the locus formed by the maximum heights of an ultra-relativistic projectile","authors":"Salvatore De Vincenzo","doi":"arxiv-2407.05612","DOIUrl":"https://doi.org/arxiv-2407.05612","url":null,"abstract":"We consider the problem of relativistic projectiles in a uniform\u0000gravitational force field. For the first time, we have found the curve that\u0000joins the points of maximum height of all trajectories followed by a projectile\u0000in the ultra-relativistic limit. The parametric equations of this curve produce\u0000an onion-like curve; in fact, it is one of the loops of a lemniscate-type\u0000curve. We also verify that the curve is an ellipse in the nonrelativistic\u0000approximation. These two limiting results are obtained by following two\u0000slightly distinct approaches. In addition, we calculate the nonrelativistic and\u0000ultra-relativistic approximations of the trajectory equation and parametric\u0000equations of the trajectory as functions of time. All limiting cases in the\u0000article are studied in detail. The content of the article is appropriate for\u0000advanced undergraduate students.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141568653","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 "Which is greater: $e^π$ or $π^{e}$? An unorthodox physical solution to a classic puzzle" 关于"$e^π$和$π^{e}$哪个更大？经典难题的非正统物理解决方案"
arXiv - PHYS - Classical Physics Pub Date : 2024-07-08 DOI: arxiv-2407.09568
Roderick M. Macrae
{"title":"Comment on \"Which is greater: $e^π$ or $π^{e}$? An unorthodox physical solution to a classic puzzle\"","authors":"Roderick M. Macrae","doi":"arxiv-2407.09568","DOIUrl":"https://doi.org/arxiv-2407.09568","url":null,"abstract":"In a recent Note (Am. J. Phys. 92:397, 2024; arXiv:2309.10826), Vallejo and\u0000Bove provide a physical argument based nominally on the second law of\u0000thermodynamics as a way of resolving the mathematical question appearing in the\u0000title. A remarkable aspect of their argument is that it does not depend on the\u0000numerical value of $pi$, because $e^{x} ge x^{e}$ for all positive $x$, with\u0000equality occurring only when $x = e$. Moreover, their argument does not depend\u0000on the validity of the second law but is rather a limited proof of it for this\u0000particular case.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141720008","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信