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Wave fields under the influence of a random-driven force: The Burgers equation 随机驱动力影响下的波场伯格斯方程
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.physleta.2024.130000
In this work, we examine the classical Burgers equation and investigate the effects of a random force on the wave field. Two scenarios are considered: the impact of a random force on different wave fields within the viscous Burgers equation and the effect of a periodic random force in the inviscid Burgers equation. For the first case, we demonstrate that the random force primarily causes wave fronts to increase or decrease depending on the dispersion parameter. For an initially deformed sinusoidal wave, the external force causes the mean wave field to spread out and dampen over time. The Cole-Hopf transformation is also used to obtain asymptotically the averaged wave field in certain regimes. For the inviscid problem, we assume the random force to be periodic with random phase to show that the mean wave field corresponds to the solution of the classical inviscid Burgers equation without external forces.
在这项工作中,我们研究了经典伯格斯方程,并探讨了随机力对波场的影响。我们考虑了两种情况:粘性伯格斯方程中随机力对不同波场的影响,以及不粘性伯格斯方程中周期性随机力的影响。对于第一种情况,我们证明随机力主要会导致波前增加或减少,具体取决于分散参数。对于初始变形的正弦波,外力会导致平均波场随时间扩散和阻尼。科尔-霍普夫变换也可用于在某些情况下得到近似的平均波场。对于无粘性问题,我们假设随机力为周期性的随机相位,以证明平均波场对应于无外力的经典无粘性布尔格斯方程的解。
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引用次数: 0
Effect of rare earth element Y on the crack propagation behavior of Mg alloys: A molecular dynamics simulation 稀土元素 Y 对镁合金裂纹扩展行为的影响分子动力学模拟
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.physleta.2024.130005
The effect of the distribution and concentration of rare earth (RE) element Y, crack orientation, temperature, and strain rate on the crack propagation behavior of the Mg alloys is investigated by molecular dynamics/Monte Carlo simulations. The results show that the RE element Y tends to form locally short-range order structures in the Mg alloys, and the introduction of the RE element Y can enhance the fracture toughness of the Mg alloys. The results indicate that with the increase of Y concentration, the crack propagation mode of the Mg alloys shifts from a mode, dominated by the dislocation emissions at the crack tip and the crack cleavage propagation to a mode dominated by the solid-state amorphization and the slip of amorphous bands. In addition, the results show that the faster the strain rate, the slower the crack propagation speed, and the crack propagation resistance increases with increasing temperature.
通过分子动力学/蒙特卡洛模拟研究了稀土元素 Y 的分布和浓度、裂纹取向、温度和应变速率对镁合金裂纹扩展行为的影响。结果表明,RE 元素 Y 有在镁合金中形成局部短程有序结构的趋势,引入 RE 元素 Y 可以提高镁合金的断裂韧性。结果表明,随着 Y 浓度的增加,镁合金的裂纹扩展模式从以裂纹尖端位错发射和裂纹劈裂扩展为主的模式转变为以固态非晶化和非晶带滑移为主的模式。此外,研究结果表明,应变速率越快,裂纹扩展速度越慢,裂纹扩展阻力随温度升高而增大。
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引用次数: 0
Demerit of the information concerning decision-making methodology: A dynamic Cournot game with adaptive expectation 有关决策方法的信息的缺点:具有自适应期望的动态库诺博弈
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.physleta.2024.129995
It is not uncommon for firms to gain access to the information concerning not only the previous decisions of others but also their decision-making methodologies. However, few literatures study the information concerning decision-making methodologies in dynamic Cournot games. This paper considers a dynamic Cournot game with adaptive expectation. It is assumed that each firm extra acquires the information regarding the other competitors' decision-making methodologies, and the information will be employed to estimate the outputs of other firms in the next period. The information leads to a decline in the stability of the original Cournot-Nash equilibrium, as demonstrated by both theoretical analysis and numerical simulation. It implies that boundedly rational firms need be vigilant for the information concerning decision-making methodologies in certain cases.
企业不仅能获得他人先前决策的信息,还能获得他人决策方法的信息,这种情况并不少见。然而,很少有文献研究动态库诺博弈中有关决策方法的信息。本文考虑的是一种具有自适应期望的动态库诺博弈。假设每个企业都额外获得了其他竞争者决策方法的信息,并利用这些信息来估计其他企业下一期的产出。理论分析和数值模拟都证明,信息会导致原始库诺-纳什均衡的稳定性下降。这意味着有界理性企业在某些情况下需要警惕有关决策方法的信息。
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引用次数: 0
Identifying node importance for networked systems in terms of the cascading model 根据级联模型确定网络系统节点的重要性
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.physleta.2024.129996
The TOPSIS method identifies the spreading influences nodes by gathering different methods together with equal weights regardless the physics that different methods are effective for different scenarios. In this paper, by introducing the cascading model to measure the target node's influence, we present a weighted TOPSIS method by taking into 1% nodes cascading influence ability to calculate the weight. Experimental results for nine real-world networks show that, comparing with the traditional TOPSIS method, average speaking, accuracy of the WTOPSIS could be enhanced by 4.471%.
TOPSIS 方法通过将不同的方法集合在一起并赋予相同的权重来识别传播影响节点,而不考虑不同方法对不同场景有效的物理现象。本文通过引入级联模型来衡量目标节点的影响力,提出了一种加权 TOPSIS 方法,将节点的级联影响能力考虑到 1%,从而计算出权重。九个实际网络的实验结果表明,与传统的 TOPSIS 方法相比,WTOPSIS 的平均准确率提高了 4.471%。
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引用次数: 0
Underwater image color restoration based on depth estimation 基于深度估计的水下图像色彩复原
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.physleta.2024.130001
Underwater images are often accompanied by color casts, and color restoration of underwater images remains a challenging problem. To tackle these degradation challenges, we present a depth estimation method based on image segmentation, and completes image color restoration on this basis. Specifically, we introduce image segmentation techniques to partition the image into discrete blocks. Our findings indicate a linear correlation between the average b component value in the Lab color space for each block and the corresponding image depth. Subsequently, the segmented images are sorted by depth to facilitate the identification of image blocks that are optimal for estimating backscatter. Local lighting estimation is then performed on these blocks to calculate the image transmission map, thereby completing the color restoration of the underwater image. The color restoration achieved through this method outperforms some advanced techniques. Our image color restoration method also demonstrates good accuracy and stability across different datasets.
水下图像通常会出现偏色现象,因此水下图像的色彩还原仍然是一个具有挑战性的问题。为了解决这些退化难题,我们提出了一种基于图像分割的深度估计方法,并在此基础上完成了图像色彩还原。具体来说,我们引入了图像分割技术,将图像分割成离散的块。我们的研究结果表明,每个区块在 Lab 色彩空间中的平均 b 分量值与相应的图像深度之间存在线性相关。随后,按深度对分割后的图像进行排序,以便识别出最适合估计反向散射的图像块。然后对这些图块进行局部照明估计,计算图像传输图,从而完成水下图像的色彩还原。通过这种方法实现的色彩还原效果优于一些先进技术。我们的图像色彩还原方法在不同的数据集上也表现出良好的准确性和稳定性。
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引用次数: 0
Optical solitons for the concatenation model with differential group delay having multiplicative white noise by F–expansion approach 用 F 展开法研究具有乘法白噪声的微分群延迟串联模型的光学孤子
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.physleta.2024.129998
This study examines optical soliton solutions for the concatenation model, which includes differential group delay and white noise in both components. Through the F–expansion integration algorithm, an extensive spectrum of soliton solutions was found. It has been confirmed that white noise affects the phase of solitons along both components.
本研究探讨了串联模型的光学孤子解,该模型包括微分群延迟和两个分量中的白噪声。通过 F 展开积分算法,发现了大量的孤子解谱。研究证实,白噪声会影响两个分量的孤子相位。
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引用次数: 0
Propagation of acoustic waves in 3D periodic media: Dispersion, clusters, and local gaps 声波在三维周期介质中的传播:弥散、集群和局部间隙
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.physleta.2024.129999
We present a theoretical study of the propagation of acoustic waves in a 3D infinite medium containing a periodic array of small identical inclusions of arbitrary shape with transmission conditions on their interfaces. The inclusion size a is much smaller than the array period. We present the dispersion relation and show that there are exceptional frequencies for which the solution is a cluster of waves propagating in several different directions. Different clusters may contain waves with the same direction, and the frequencies of the waves depend on the clusters but not on the direction of waves. We show that global gaps do not exist if a is small enough. The notion of local gaps which depends on the choice of the wavevector k, is introduced and discussed. The location of local gaps for a medium with a simple cubic lattice of identical inclusions is determined.
我们对声波在三维无限介质中的传播进行了理论研究,该介质包含由任意形状的相同小夹杂物组成的周期性阵列,其界面上有透射条件。夹杂物尺寸 a 远远小于阵列周期。我们提出了频散关系,并表明在一些特殊频率下,解法是沿几个不同方向传播的波群。不同的波簇可能包含方向相同的波,波的频率取决于波簇,而与波的方向无关。我们证明,如果 a 足够小,全局间隙是不存在的。我们引入并讨论了局部间隙的概念,它取决于波向量 k 的选择。我们确定了由相同夹杂物组成的简单立方晶格介质的局部间隙位置。
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引用次数: 0
The synergistic effect of neutron irradiation on the tensile properties of Fe-0.74 wt.% Ni alloy: A combined study of machine-learning and molecular dynamics 中子辐照对 Fe-0.74 wt.% Ni 合金拉伸性能的协同效应:机器学习与分子动力学的结合研究
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-22 DOI: 10.1016/j.physleta.2024.129992
The aim of this study is to elucidate the mechanisms of irradiation damage to reactor pressure vessel (RPV) steel using a machine learning algorithms and high-throughput calculations. Various Fe-Ni alloy structures were generated based on structural enumeration for high-throughput first-principles calculations, with the Fe-Ni interatomic potential trained using a Gaussian approximation function. Simulations were conducted using LAMMPS software to investigate the effects of neutron irradiation on the tensile properties of Fe-0.74 wt.% Ni alloy, utilizing the well-established Fe-Ni interatomic potential. The irradiation dose significantly impacts defects in the Fe-Ni alloy. Synergistic effects of alloy solute element content and temperature with irradiation defects reveal that defect numbers at irradiation points increase linearly with MD-dpa and PKA energy. During irradiation, Ni atoms diffuse via the exchange with vacancy, synergizing with other Ni elements. Notably, Ni content inversely affects yield stress, resulting in lower yield stress in irradiated materials compared to pre-irradiation levels. While temperature inversely affects yield stress, its synergistic effect with defects increases yield stresses post-irradiation, known as irradiation hardening. Post-irradiation, the yield strain increases, and a flat plateau stress region is observed in Fe-Ni alloys. Ni atoms act as a buffer during the stretching process, contributing to a relatively gentle slope stress region despite increasing stress. The distribution of Ni atoms significantly influences the stress-strain curve, in which the aggregated Ni atoms decrease yield strength, whereas uniform distribution increases it, highlighting Ni atoms as buffering role during stretching process. These simulations yield valuable insights for exploring scalability and enhancing the development of irradiation hardening and embrittlement models.
本研究旨在利用机器学习算法和高通量计算,阐明反应堆压力容器(RPV)钢辐照损伤的机理。在结构枚举的基础上生成了各种铁-镍合金结构,用于高通量第一原理计算,并使用高斯近似函数训练了铁-镍原子间势。利用 LAMMPS 软件进行了模拟,研究了中子辐照对 Fe-0.74 wt.% Ni 合金拉伸性能的影响,并使用了成熟的 Fe-Ni 原子间势。辐照剂量对 Fe-Ni 合金中的缺陷有很大影响。合金溶质元素含量和温度与辐照缺陷的协同效应表明,辐照点的缺陷数量随 MD-dpa 和 PKA 能量的增加而线性增加。在辐照过程中,镍原子通过与空位交换扩散,与其他镍元素协同作用。值得注意的是,镍含量与屈服应力成反比,导致辐照材料的屈服应力低于辐照前的水平。虽然温度对屈服应力有反向影响,但它与缺陷的协同作用会增加辐照后的屈服应力,即所谓的辐照硬化。辐照后,屈服应力增加,在铁镍合金中观察到平坦的高原应力区。在拉伸过程中,镍原子起着缓冲作用,尽管应力不断增加,但却形成了一个相对平缓的斜坡应力区。镍原子的分布对应力-应变曲线有很大影响,其中聚集的镍原子会降低屈服强度,而均匀分布的镍原子则会提高屈服强度,这突出表明了镍原子在拉伸过程中的缓冲作用。这些模拟为探索可扩展性和加强辐照硬化与脆化模型的开发提供了宝贵的见解。
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引用次数: 0
Families of exact similaritons with flexible modulations in N-coupled homogeneous and inhomogeneous systems N 个同质和非同质耦合系统中具有灵活调制的精确相似子系列
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-19 DOI: 10.1016/j.physleta.2024.129997
In this paper, a family of exact solutions to N-coupled nonlinear Schrödinger (N-CNLS) equations including bright and dark solitons, Akhmediev breathers, Kuznetsov-Ma breathers, and rogue waves are derived with the aid of a generic nonlinear wave assumption. As an application of the solutions, we present a scheme to realize amplitude coding in an identical waveguide system. Furthermore, by a general self-similar transformation method, exact controllable similaritons of N-coupled inhomogeneous NLS (N-CINLS) equations are constructed under relaxed compatibility conditions. Flexible modulations of similaritons are investigated in a typical inhomogeneous system. Based on the general self-similar transformation, we further study various and novel modulations of composite similariton of 2-CINLS regimes. The various similaritons presented here may be expected to find application in the control and transmission of nonlinear waves in realizable complex systems including those based on optical fibers and Bose-Einstein condensates.
本文借助通用非线性波假设,推导出 N 个耦合非线性薛定谔方程(N-CNLS)的一系列精确解,包括亮孤子和暗孤子、阿赫迈季耶夫呼吸子、库兹涅佐夫-马呼吸子和流氓波。作为解决方案的应用,我们提出了一种在相同波导系统中实现振幅编码的方案。此外,通过一般自相似变换方法,在宽松的相容性条件下构建了 N 个耦合非均质 NLS(N-CINLS)方程的精确可控相似子。研究了典型非均质系统中相似子的灵活调制。在一般自相似变换的基础上,我们进一步研究了 2-CINLS 复合相似子的各种新颖调制。本文介绍的各种相似子有望应用于可实现的复杂系统中非线性波的控制和传输,包括基于光纤和玻色-爱因斯坦凝聚体的系统。
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引用次数: 0
Modelling study on pedestrian evacuation dynamics considering exit selection behaviour under flood disaster 考虑洪水灾害下出口选择行为的行人疏散动态模型研究
IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-19 DOI: 10.1016/j.physleta.2024.129967
Flood spreading in metro stations is a dangerous hazard that frequently causes casualties and property losses. However, pedestrian evacuation under flood spreading scenarios has not been fully investigated. To fill this gap,we propose an extend Floor-Field model incorporating flood spreading and exit selection behaviour of individuals. In the model, the dynamic flood spreading process on metro platforms is expressed by using a simulation software named Mike21. The optimal exit selected by pedestrians in each step is decided on three factors, that is pedestrian density around the exit, pedestrian distance to the exit, and water depth at the exit. Meanwhile, the movement speed of pedestrain also changes with the water depth at each time step. Based on this, the transition probability to neighbor cell including static field, dynamic field, height field, and water flow field is calculated. This results in a flood evacuation model considering the pedestrian's behaviour when choosing an exit. The effects of flooding, pedestrian density, different exit selection behaviours, water flow field, and inlet flow on evacuation were thoroughly analysed. The analysis demonstrates that the likelihood of flooding significantly impacts the evacuation of pedestrians from the subway station; the more flooding is taken into account, the more influential the impact. In addition, the effect of inlet flow on evacuation is also noteworthy; considering exit selection behaviour can significantly increase the effectiveness of evacuation. The study's findings can be used to develop evacuation plans for flooded metro stations.
地铁站内的洪水蔓延是一种危险的危害,经常造成人员伤亡和财产损失。然而,洪水蔓延情况下的行人疏散尚未得到充分研究。为了填补这一空白,我们提出了一个扩展的 "楼层-场地 "模型,其中包含了洪水蔓延和个人的出口选择行为。在该模型中,洪水在地铁站台上的动态扩散过程是通过一个名为 Mike21 的模拟软件来表达的。行人在每一步中选择的最佳出口取决于三个因素,即出口周围的行人密度、行人到出口的距离和出口处的水深。同时,行人的移动速度也会随着每个时间步的水深而变化。在此基础上,计算出邻近单元的过渡概率,包括静态场、动态场、高度场和水流场。因此,洪水疏散模型考虑了行人在选择出口时的行为。对洪水、行人密度、不同的出口选择行为、水流场和入口流量对疏散的影响进行了深入分析。分析表明,洪水发生的可能性会对行人从地铁站疏散产生重大影响;考虑的洪水越多,影响就越大。此外,入口流量对疏散的影响也值得注意;考虑出口选择行为可显著提高疏散效果。研究结果可用于制定洪水淹没地铁站的疏散计划。
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引用次数: 0
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Physics Letters A
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