国家预印本平台
中国首发,全球知晓
三体问题作为经典力学的百年难题,自庞加莱发现其混沌特性以来,传统研究始终局限于高精度数值模拟与周期解的枚举,无法给出描述系统从规则运动到混沌转变的全局普适判据。 本文引入一个无量纲全局束缚序参量S∈[0,1],通过粗粒化方法从牛顿动力学方程出发,导出了描述三体系统演化的现象学有效场方程。我们发现:三体系统的规则-混沌转变,本质是二级拓扑相变,临界点严格位于S≈0.5处,混沌行为是临界点附近的临界慢化与涨落放大效应。通过对毕达哥拉斯三体、平面受限三体等经典系统的高精度数值模拟,我们验证了序参量演化与理论预测的吻合度≥95%,并导出了系统Lyapunov指数与序参量的临界标度律λ∼|S−0.5|^(−ν),临界指数ν≈0.88,与三维渗流普适类完全一致。 最后我们提出了基于耦合约瑟夫森结的桌面实验方案,给出了可验证的临界行为预言。本工作为多体混沌系统的全局分析提供了全新的普适框架。
Under persistent flux conditions, any structure must maintain stability within the constraints of finite carrying capacity. Structural states are not determined by flux intensity alone, but by the dynamic matching between incoming flux and currently available carrying capacity. As this matching relation shifts, structural responses unfold sequentially as intra-level compression, inter-level transition, and eventual rupture or large-scale reconfiguration. Within this framework, the portion of structural deviation that cannot be immediately integrated is defined as residual. Residuals migrate along two independent axes: temporally, by moving across distinct time scales where they may either accumulate as long-term deposition or remain compressed within short windows; spatially, by inducing structural refinement or reconfiguration that opens new integration pathways. Structural failure or global transition occurs only when both temporal and spatial migration pathways become constrained. Differences in carrying-path geometry generate distinct time-scale distributions and depths of residual migration. Residuals that successfully traverse short temporal windows and enter slower scales produce long-term locking and structural memory. When confined to rapid layers, they manifest as sustained oscillation or compensatory activity. This dynamical framework is concretely illustrated in biological systems. Embryonic development can be interpreted as cross-scale residual migration and structural locking, while sustained load in adulthood represents re-entry and redeposition within established geometries. Development and pathology thus emerge as continuous expressions of residual dynamics under different temporal depths and carrying conditions. Based on the flux-capacity-matching relation, this study proposes a unified dynamical description of structural response, residual migration, and long-term deposition, with biological formation and long-term transformation serving as illustrative biological cases.
在新质生产力驱动高质量发展的战略背景下,出版业亟需科学评估工具以系统衡量其数字化转型进程。本研究从创新驱动、数智化融合、绿色可持续三个维度,构建出版业新质生产力理论框架,并基于上市企业数据,建立包含要素投入、生产创新、产出效能3个一级指标、11个二级指标及33个三级指标的评价体系。运用熵权TOPSIS法对2017—2024年我国出版上市企业新质生产力进行测度。结果显示:出版业新质生产力综合水平呈波动上升态势,年均增长率达7.36%;但子系统发展不均衡现象突出,生产创新维度增长迅速,要素投入与产出效能维度提升缓慢,存在“创新—转化”链条的结构性断裂。本研究不仅为出版企业提供了可操作的自评与对标工具,也为行业政策制定与动态优化提供了微观实证支撑。
近年来,以Stable Diffusion、DALL・E 为代表的扩散模型(Diffusion Models)已成为人工智能领域的 “现象级” 技术,在图像生成、视频合成、3D 建模等领域实现了突破性应用,推动了 AIGC(生成式人工智能)产业的爆发式增长。然而,扩散模型的发展呈现 “技术迭代快、理论门槛高、工程实践碎片化” 的特点: 理论层面:其核心原理涉及随机过程、微分方程等复杂数学知识,且不同分支(如 DDPM、分数匹配模型、SDE、流扩散)的理论框架分散于大量学术论文中,缺乏系统性梳理; 工程层面:开源工具(如 diffusers 库)、优化算法(如 DDIM、一致性模型)与工业级模型(如 Stable Diffusion 系列、FLUX.1)更新迅速,但开发者常面临 “知其然不知其所以然” 的困境,难以从底层理解模型设计逻辑; 行业需求:企业对 “懂理论 + 能落地” 的复合型人才需求迫切,但现有资料或侧重纯数学推导(门槛过高),或侧重工具使用(缺乏深度),难以满足系统性学习需求。 基于此,本书旨在填补“理论深度与工程实践”之间的鸿沟,为读者提供从数学原理到产业应用的完整知识体系。
Increasing observations of pulsed TeV γ-rays, i.e., in Vela[1] and Crab pulsar[2] [3] set unprece- dented constraints on mechanism and location of pulsar emission. In particular, how such ultra-high energy radiation (UHE) usually treated as incoherent be nearly in phased with coherent radio emis- sion, and thus achieving an approximately in phased multiband emission have not been understood. Here shows that fast spin velocity and strong strength of surface magnetic field of a pulsar result in accumulation of magnetic energy near the light cylinder. As a bundle of last closed field lines at such a energy reservoir is carried across the light cylinder by magnetocentrifugal, a forced reconnec- tion is triggered at the tip of the last closed field lines generating pair production. The resultant particle-wave resonance at the tiny reconnection site is analogous to the Free Electron Laser (FEL) process[4–6] where high-energy electrons are deflected, focused, and guided by magnetic fields, invok- ing coherent synchrotron emission responsible for pulsed TeV emission. Propagating of such a TeV γ-ray emission along the flux tube surrounding the tiny reconnection region leads to pair cascade responsible for multiband emission from 102MeV to radio. As each reconnection event corresponds to a microstructure with cone-core pattern, radiation of microstructure in multiband should exhibit similar morphology and polarization behavior. And a fluctuation in strength of magnetic field at the reconnection site can give rise to pulsed PeV γ-ray emission.














