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Exploring the Diversity of Nuclear Density through Information Entropy 通过信息熵探索核密度的多样性
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-05 DOI: 10.3390/e26090763
Wei-Hu Ma, Yu-Gang Ma
This study explores the role of information entropy in understanding nuclear density distributions, including both stable configurations and non-traditional structures such as neutron halos and α-clustering. By quantifying the uncertainty and disorder inherent in nucleon distributions in nuclear many-body systems, information entropy provides a macroscopic measure of the physical properties of the system. A more dispersed and disordered density distribution results in a higher value of information entropy. This intrinsic relationship between information entropy and system complexity allows us to quantify uncertainty and disorder in nuclear structures by analyzing various geometric parameters such as nuclear radius, diffuseness, neutron skin, and cluster structural features.
本研究探讨了信息熵在理解核密度分布方面的作用,包括稳定构型和非传统结构,如中子晕和α团聚。通过量化核多体系统中核子分布固有的不确定性和无序性,信息熵提供了对系统物理特性的宏观测量。密度分布越分散、越无序,信息熵值就越高。信息熵与系统复杂性之间的这种内在关系,使我们能够通过分析核半径、扩散性、中子表皮和团簇结构特征等各种几何参数,量化核结构中的不确定性和无序性。
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引用次数: 0
A New Diffusion Strategy Using an Epidemic Spreading Model for Encryption 使用流行病传播模型的新型加密传播策略
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-05 DOI: 10.3390/e26090760
Wei Zhang, Guangdong Zhu, Meng Xing, Jingjing Yang, Hai Yu, Zhiliang Zhu
The diffusion phenomenon that exhibits intrinsic similarities is pervasive in cryptography and natural systems, evident in liquid diffusion, epidemic spread, animal migration, and encryption techniques. In cryptography, bytes are systematically diffused in a sequential manner to encrypt the value of each byte in the plaintext in a linear fashion. In contrast, within an epidemic spreading model, the diffusion process can be represented within a complex, multilayered network, encompassing layers such as familial and social transmission dynamics. Transmission links establish connections both within and between individual layers. It has had a more rapid spread than linear approaches due to the particularization of non-linear transmission. In this study, the novelty of a cryptography diffusion strategy based on an epidemic model is first proposed, in which pixels and their dynamic adjacency are considered as vertices and edges, respectively, within a complex network framework. Subsequently, the encryption process is governed by the Susceptible–Vaccinated–Infected–Recovered (SVIR) model integrated with chaotic dynamics. Simulation results demonstrate that the proposed algorithm exhibits faster encryption speed while effectively resisting brute force, statistical, and differential attacks. Furthermore, it demonstrates strong robustness against noise interference and data loss.
具有内在相似性的扩散现象在密码学和自然系统中普遍存在,在液体扩散、流行病传播、动物迁移和加密技术中都很明显。在密码学中,字节按顺序系统地扩散,以线性方式加密明文中每个字节的值。相比之下,在流行病传播模型中,传播过程可以在一个复杂的多层网络中体现,包括家庭和社会传播动态等层次。传播链接在各层内部和各层之间建立联系。由于非线性传播的特殊性,它比线性方法传播得更快。在本研究中,首先提出了一种基于流行病模型的加密扩散策略,将像素及其动态邻接分别视为复杂网络框架中的顶点和边,这是一种创新。随后,加密过程由融合了混沌动力学的 "易感-接种-感染-恢复"(SVIR)模型控制。仿真结果表明,所提出的算法加密速度更快,同时能有效抵御暴力、统计和差分攻击。此外,该算法对噪声干扰和数据丢失具有很强的鲁棒性。
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引用次数: 0
Bidirectional Decoupled Distillation For Heterogeneous Federated Learning 用于异构联合学习的双向去耦蒸馏技术
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-05 DOI: 10.3390/e26090762
Wenshuai Song, Mengwei Yan, Xinze Li, Longfei Han
Federated learning enables multiple devices to collaboratively train a high-performance model on the central server while keeping their data on the devices themselves. However, due to the significant variability in data distribution across devices, the aggregated global model’s optimization direction may differ from that of the local models, making the clients lose their personality. To address this challenge, we propose a Bidirectional Decoupled Distillation For Heterogeneous Federated Learning (BDD-HFL) approach, which incorporates an additional private model within each local client. This design enables mutual knowledge exchange between the private and local models in a bidirectional manner. Specifically, previous one-way federated distillation methods mainly focused on learning features from the target class, which limits their ability to distill features from non-target classes and hinders the convergence of local models. To solve this limitation, we decompose the network output into target and non-target class logits and distill them separately using a joint optimization of cross-entropy and decoupled relative-entropy loss. We evaluate the effectiveness of BDD-HFL through extensive experiments on three benchmarks under IID, Non-IID, and unbalanced data distribution scenarios. Our results show that BDD-HFL outperforms state-of-the-art federated distillation methods across five baselines, achieving at most 3% improvement in average classification accuracy on the CIFAR-10, CIFAR-100, and MNIST datasets. The experiments demonstrate the superiority and generalization capability of BDD-HFL in addressing personalization challenges in federated learning.
联盟学习能让多台设备在中央服务器上协同训练一个高性能模型,同时将数据保存在设备本身。然而,由于各设备间的数据分布存在很大差异,聚合全局模型的优化方向可能与本地模型的优化方向不同,从而使客户端失去个性。为了应对这一挑战,我们提出了一种双向去耦蒸馏异构联合学习(BDD-HFL)方法,在每个本地客户端中加入了一个额外的私有模型。这种设计能使私有模型和本地模型以双向方式相互交换知识。具体来说,以前的单向联合提炼方法主要集中于学习目标类的特征,这限制了它们从非目标类中提炼特征的能力,并阻碍了本地模型的收敛。为了解决这一局限,我们将网络输出分解为目标类和非目标类对数,并使用交叉熵损失和解耦相对熵损失的联合优化方法分别对其进行蒸馏。我们在 IID、Non-ID 和不平衡数据分布场景下的三个基准上进行了大量实验,评估了 BDD-HFL 的有效性。我们的结果表明,BDD-HFL 在五个基线上的表现优于最先进的联合蒸馏方法,在 CIFAR-10、CIFAR-100 和 MNIST 数据集上的平均分类准确率最多提高了 3%。这些实验证明了 BDD-HFL 在应对联合学习中的个性化挑战方面的优越性和泛化能力。
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引用次数: 0
Cooperative Jamming-Based Physical-Layer Group Secret and Private Key Generation 基于合作干扰的物理层群组密钥和私钥生成
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.3390/e26090758
Shiming Fu, Tong Ling, Jun Yang, Yong Li
This paper explores physical layer group key generation in wireless relay networks with a star topology. In this setup, the relay node plays the role of either a trusted or untrusted central node, while one legitimate node (Alice) acts as the reference node. The channel between the relay and Alice serves as the reference channel. To enhance security during the channel measurement stage, a cooperative jamming-based scheme is proposed in this paper. This scheme allows the relay to obtain superimposed channel observations from both the reference channel and other relay channels. Then, a public discussion is utilized to enable all nodes to obtain estimates of the reference channel. Subsequently, the legitimate nodes can agree on a secret key (SK) that remains secret from the eavesdropper (Eve), or a private key (PK) that needs to be secret from both the relay and Eve. This paper also derives the lower and upper bounds of the SK/PK capacity. Notably, it demonstrates that there exists only a small constant difference between the SK/PK upper and lower bounds in the high signal-to-noise ratio (SNR) regime. Simulation results confirm the effectiveness of the proposed scheme for ensuring security and efficiency of group key generation.
本文探讨了星形拓扑无线中继网络中物理层群组密钥的生成。在这种设置中,中继节点扮演可信或不可信的中心节点,而一个合法节点(Alice)则充当参考节点。中继节点和 Alice 之间的信道作为参考信道。为了加强信道测量阶段的安全性,本文提出了一种基于合作干扰的方案。该方案允许中继从参考信道和其他中继信道获得叠加信道观测值。然后,利用公开讨论使所有节点都能获得参考信道的估计值。随后,合法节点可以商定一个对窃听者(夏娃)保密的秘钥(SK),或者一个需要对中继和夏娃保密的私钥(PK)。本文还推导出了 SK/PK 容量的下限和上限。值得注意的是,它证明了在高信噪比(SNR)情况下,SK/PK 上界和下界之间只存在很小的常数差。仿真结果证实了所提方案在确保群组密钥生成的安全性和效率方面的有效性。
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引用次数: 0
Random Transitions of a Binary Star in the Canonical Ensemble 双星在经典组合中的随机转变
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.3390/e26090757
Pierre-Henri Chavanis
After reviewing the peculiar thermodynamics and statistical mechanics of self-gravitating systems, we consider the case of a “binary star” consisting of two particles of size a in gravitational interaction in a box of radius R. The caloric curve of this system displays a region of negative specific heat in the microcanonical ensemble, which is replaced by a first-order phase transition in the canonical ensemble. The free energy viewed as a thermodynamic potential exhibits two local minima that correspond to two metastable states separated by an unstable maximum forming a barrier of potential. By introducing a Langevin equation to model the interaction of the particles with the thermal bath, we study the random transitions of the system between a “dilute” state, where the particles are well separated, and a “condensed” state, where the particles are bound together. We show that the evolution of the system is given by a Fokker–Planck equation in energy space and that the lifetime of a metastable state is given by the Kramers formula involving the barrier of free energy. This is a particular case of the theory developed in a previous paper (Chavanis, 2005) for N Brownian particles in gravitational interaction associated with the canonical ensemble. In the case of a binary star (N=2), all the quantities can be calculated exactly analytically. We compare these results with those obtained in the mean field limit N→+∞.
在回顾了自引力系统的特殊热力学和统计力学之后,我们考虑了由两个大小为 a 的粒子组成的 "双星 "在半径为 R 的盒子中发生引力相互作用的情况。该系统的热量曲线在微观规范集合中显示出一个负比热区域,而在规范集合中则被一阶相变所取代。作为热力学势的自由能显示出两个局部极小值,这两个极小值对应于两个可转移状态,它们之间有一个不稳定的最大值,形成了势垒。通过引入朗热文方程来模拟粒子与热浴的相互作用,我们研究了系统在粒子完全分离的 "稀释 "态和粒子结合在一起的 "凝聚 "态之间的随机转变。我们的研究表明,系统的演化是由能量空间中的福克-普朗克方程给出的,而蜕变态的寿命是由涉及自由能势垒的克拉默公式给出的。这是前一篇论文(Chavanis,2005 年)中针对与经典集合相关的引力相互作用中的 N 个布朗粒子所提出的理论的一个特殊案例。在双星(N=2)的情况下,所有量都可以精确地分析计算。我们将这些结果与平均场极限 N→+∞ 时的结果进行了比较。
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引用次数: 0
Stability of Breathers for a Periodic Klein–Gordon Equation 周期性克莱因-戈登方程呼吸器的稳定性
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.3390/e26090756
Martina Chirilus-Bruckner, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis
The existence of breather-type solutions, i.e., solutions that are periodic in time and exponentially localized in space, is a very unusual feature for continuum, nonlinear wave-type equations. Following an earlier work establishing a theorem for the existence of such structures, we bring to bear a combination of analysis-inspired numerical tools that permit the construction of such waveforms to a desired numerical accuracy. In addition, this enables us to explore their numerical stability. Our computations show that for the spatially heterogeneous form of the ϕ4 model considered herein, the breather solutions are generically unstable. Their instability seems to generically favor the motion of the relevant structures. We expect that these results may inspire further studies towards the identification of stable continuous breathers in spatially heterogeneous, continuum nonlinear wave equation models.
呼吸型解法的存在,即在时间上周期性、在空间上指数局部化的解法,是连续非线性波型方程的一个非常不寻常的特征。继早先建立了关于此类结构存在性的定理之后,我们将受分析启发的数值工具结合起来,使构建此类波形达到所需的数值精度。此外,这还使我们能够探索其数值稳定性。我们的计算表明,对于本文所考虑的空间异质形式的 ϕ4 模型,呼吸解一般是不稳定的。它们的不稳定性似乎普遍有利于相关结构的运动。我们希望这些结果能激励我们进一步研究如何在空间异质连续非线性波方程模型中识别稳定的连续呼吸器。
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引用次数: 0
Urban Flood Resilience Evaluation Based on Heterogeneous Data and Group Decision-Making 基于异构数据和群体决策的城市抗洪性评估
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-03 DOI: 10.3390/e26090755
Xiang He, Yanzhu Hu, Xiaojun Yang, Song Wang, Yingjian Wang
In recent years, urban floods have occurred frequently in China. Therefore, there is an urgent need to strengthen urban flood resilience. This paper proposed a hybrid multi-criteria group decision-making method to assess urban flood resilience based on heterogeneous data, group decision-making methodologies, the pressure-state–response model, and social–economic–natural complex ecosystem theory (PSR-SENCE model). A qualitative and quantitative indicator system is formulated using the PSR-SENCE model. Additionally, a new weighting method for indicators, called the synthesis weighting-group analytic hierarchy process (SW-GAHP), is proposed by considering both intrapersonal consistency and interpersonal consistency of decision-makers. Furthermore, an extensional group decision-making technology (EGDMT) based on heterogeneous data is proposed to evaluate qualitative indicators. The flexible parameterized mapping function (FPMF) is introduced for the evaluation of quantitative indicators. The normal cloud model is employed to handle various uncertainties associated with heterogeneous data. The evaluations for Beijing from 2017 to 2021 reveal a consistent annual improvement in urban flood resilience, with a 14.1% increase. Subsequently, optimization recommendations are presented not only for favorable indicators such as regional economic status, drainability, and public transportation service capacity but also for unfavorable indicators like flood risk and population density. This provides a theoretical foundation and a guide for making decisions about the improvement of urban flood resilience. Finally, our proposed method shows superiority and robustness through comparative and sensitivity analyses.
近年来,中国城市洪涝灾害频发。因此,加强城市抗洪能力迫在眉睫。本文基于异构数据、群体决策方法、压力-状态-响应模型和社会-经济-自然复合生态系统理论(PSR-SENCE 模型),提出了一种评估城市抗洪能力的混合多标准群体决策方法。利用 PSR-SENCE 模型制定了定性和定量指标体系。此外,考虑到决策者的个人一致性和人际一致性,提出了一种新的指标加权方法,即综合加权-分组分析层次过程(SW-GAHP)。此外,还提出了一种基于异构数据的扩展群体决策技术(EGDMT)来评估定性指标。针对定量指标的评估,引入了灵活的参数化映射函数(FPMF)。采用正态云模型来处理与异构数据相关的各种不确定性。对北京 2017 年至 2021 年的评估结果显示,城市抗洪能力每年都在持续改善,增幅达 14.1%。随后,不仅针对区域经济状况、排水能力和公共交通服务能力等有利指标,还针对洪水风险和人口密度等不利指标提出了优化建议。这为提高城市抗洪能力提供了理论基础和决策指导。最后,通过比较分析和敏感性分析,我们提出的方法显示出优越性和稳健性。
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引用次数: 0
Nested Pattern Detection and Unidimensional Process Characterization 嵌套模式检测和单维过程特征描述
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-03 DOI: 10.3390/e26090754
Gerardo L. Febres
This document introduces methods for describing long texts as groups of repeating symbols or patterns. The process converts a series of real-number values into texts. Developed tailored algorithms for identifying repeated sequences in the text are applied to decompose the text into nested tree-like structures of repeating symbols and is called the Nested Repeated Sequence Decomposition Model (NRSDM). The NRSDM is especially valuable for extracting repetitive behaviors in oscillatory but non-periodic and chaotic processes where the classical Fourier transform has limited application. The NRSDM along with the two graphical representations proposed here form a promising tool for characterizing long texts configured to represent the behavior of unidimensional processes.
本文件介绍了将长文本描述为一组重复符号或模式的方法。该过程将一系列实数值转换为文本。应用为识别文本中重复序列而开发的定制算法,将文本分解为重复符号的嵌套树状结构,称为嵌套重复序列分解模型(NRSDM)。NRSDM 尤其适用于提取振荡但非周期性和混沌过程中的重复行为,而经典的傅立叶变换在这些过程中的应用非常有限。NRSDM 与本文提出的两种图形表示法一起构成了一种很有前途的工具,可用于表征配置为表示单维过程行为的长文本。
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引用次数: 0
Testing the Pauli Exclusion Principle across the Periodic Table with the VIP-3 Experiment 用 VIP-3 实验测试整个周期表的保利排斥原理
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-02 DOI: 10.3390/e26090752
Simone Manti, Massimiliano Bazzi, Nicola Bortolotti, Cesidio Capoccia, Michael Cargnelli, Alberto Clozza, Luca De Paolis, Carlo Fiorini, Carlo Guaraldo, Mihail Iliescu, Matthias Laubenstein, Johann Marton, Fabrizio Napolitano, Kristian Piscicchia, Alessio Porcelli, Alessandro Scordo, Francesco Sgaramella, Diana Laura Sirghi, Florin Sirghi, Oton Vazquez Doce, Johann Zmeskal, Catalina Curceanu
The Pauli exclusion principle (PEP), a cornerstone of quantum mechanics and whole science, states that in a system, two fermions can not simultaneously occupy the same quantum state. Several experimental tests have been performed to place increasingly stringent bounds on the validity of PEP. Among these, the series of VIP experiments, performed at the Gran Sasso Underground National Laboratory of INFN, is searching for PEP-violating atomic X-ray transitions in copper. In this paper, the upgraded VIP-3 setup is described, designed to extend these investigations to higher-Z elements such as zirconium, silver, palladium, and tin. We detail the enhanced design of this setup, including the implementation of cutting-edge, 1 mm thick, silicon drift detectors, which significantly improve the measurement sensitivity at higher energies. Additionally, we present calculations of expected PEP-violating energy shifts in the characteristic lines of these elements, performed using the multi-configurational Dirac–Fock method from first principles. The VIP-3 realization will contribute to ongoing research into PEP violation for different elements, offering new insights and directions for future studies.
保利排斥原理(PEP)是量子力学和整个科学的基石,它规定在一个系统中,两个费米子不能同时占据同一个量子态。为了对 "保利排斥原理 "的有效性施加越来越严格的限制,已经进行了多项实验测试。其中,在 INFN 的大萨索地下国家实验室(Gran Sasso Underground National Laboratory)进行的一系列 VIP 实验正在寻找铜中违反 PEP 的原子 X 射线跃迁。本文介绍了升级版 VIP-3 装置,旨在将这些研究扩展到锆、银、钯和锡等高 Z 元素。我们详细介绍了该装置的改进设计,包括采用了最先进的 1 毫米厚硅漂移探测器,从而显著提高了高能量下的测量灵敏度。此外,我们还介绍了对这些元素特征谱线中预期的违反 PEP 的能量偏移的计算,该计算是使用多配置 Dirac-Fock 方法从第一原理出发进行的。VIP-3 的实现将有助于目前对不同元素的 PEP 违反研究,为未来的研究提供新的见解和方向。
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引用次数: 0
Targeted Energy Transfer Dynamics and Chemical Reactions 靶向能量转移动力学与化学反应
IF 2.7 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-02 DOI: 10.3390/e26090753
Natalya Almazova, Serge Aubry, Giorgos P. Tsironis
Ultrafast reaction processes take place when resonant features of nonlinear model systems are taken into account. In the targeted energy or electron transfer dimer model this is accomplished through the implementation of nonlinear oscillators with opposing types of nonlinearities, one attractive while the second repulsive. In the present work, we show that this resonant behavior survives if we take into account the vibrational degrees of freedom as well. After giving a summary of the basic formalism of chemical reactions we show that resonant electron transfer can be assisted by vibrations. We find the condition for this efficient transfer and show that in the case of additional interaction with noise, a distinct non-Arrhenius behavior develops that is markedly different from the usual Kramers-like activated transfer.
当考虑到非线性模型系统的共振特征时,就会发生超快反应过程。在目标能量或电子转移二聚体模型中,这是通过实施具有对立类型非线性的非线性振荡器来实现的,其中一个振荡器具有吸引力,而第二个振荡器具有排斥力。在本研究中,我们证明如果将振动自由度也考虑在内,这种共振行为将继续存在。在总结了化学反应的基本形式之后,我们证明共振电子转移可以通过振动来实现。我们找到了这种高效转移的条件,并证明在与噪声发生额外相互作用的情况下,会出现明显的非阿伦尼乌斯行为,这与通常的克拉默活化转移明显不同。
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引用次数: 0
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Entropy
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