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Probabilistic Discrete-Time Models for Spreading Processes in Complex Networks: A Review 复杂网络中传播过程的概率离散时间模型:综述
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-24 DOI: 10.1002/andp.202400078
Clara Granell, Sergio Gómez, Jesús Gómez-Gardeñes, Alex Arenas

Research into network dynamics of spreading processes typically employs both discrete and continuous time methodologies. Although each approach offers distinct insights, integrating them can be challenging, particularly when maintaining coherence across different time scales. This review focuses on the Microscopic Markov Chain Approach (MMCA), a probabilistic f ramework originally designed for epidemic modeling. MMCA uses discrete dynamics to compute the probabilities of individuals transitioning between epidemiological states. By treating each time step—usually a day—as a discrete event, the approach captures multiple concurrent changes within this time frame. The approach allows to estimate the likelihood of individuals or populations being in specific states, which correspond to distinct epidemiological compartments. This review synthesizes key findings from the application of this approach, providing a comprehensive overview of its utility in understanding epidemic spread.

对传播过程的网络动力学研究通常采用离散和连续时间方法。虽然每种方法都能提供独特的见解,但将它们整合起来可能具有挑战性,尤其是在不同时间尺度上保持一致性时。本综述重点介绍微观马尔可夫链方法(MMCA),这是一种最初为流行病建模而设计的概率框架。微观马尔可夫链方法使用离散动力学来计算个体在流行病学状态之间转换的概率。通过将每个时间步(通常是一天)视为离散事件,该方法可以捕捉到该时间段内多个并发变化。这种方法可以估算出个人或人群处于特定状态的可能性,这些状态与不同的流行病学分区相对应。本综述综合了应用该方法的主要发现,全面概述了该方法在了解流行病传播方面的实用性。
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引用次数: 0
Thermoelectric Response in Nodal-Point Semimetals 节点半金属的热电响应
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-22 DOI: 10.1002/andp.202400016
Ipsita Mandal, Kush Saha

In this review, the thermoelectric properties in nodal-point semimetals with two bands are discussed. For the two-dimensional (2D) cases, it is shown that the expressions of the thermoelectric coefficients take different values depending on the nature of the scattering mechanism responsible for transport, by considering examples of short-ranged disorder potential and screened charged impurities. An anisotropy in the energy dispersion spectrum invariably affects the thermopower quite significantly, as illustrated by the results for a node of semi-Dirac semimetal and a single valley of graphene. The scenario when a magnetic field of magnitude B$B$ is applied perpendicular to the plane of the 2D semimetal is also considered. The computations for the three-dimensional (3D) cases necessarily involve the inclusion of nontrivial Berry phase effects. In addition to demonstrating the expressions for the response tensors, the exotic behavior observed in planar Hall and planar thermal Hall set-ups is discussed.

本综述讨论了具有两个带的结点半金属的热电特性。在二维(2D)情况下,通过考虑短程无序势和屏蔽带电杂质的例子,可以看出热电系数的表达式会根据负责传输的散射机制的性质而呈现不同的值。能量色散谱的各向异性总是会对热功率产生相当大的影响,半迪拉克半金属节点和石墨烯单谷的结果就说明了这一点。我们还考虑了垂直于二维半金属平面施加 B$B$ 级磁场的情况。在计算三维(3D)情况时,必然会包含非对称的贝里相位效应。除了演示响应张量的表达式之外,还讨论了在平面霍尔和平面热霍尔设置中观察到的奇异行为。
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引用次数: 0
Characterization of Entanglement via Non-Existence of a Subquantum Random Field 通过亚量子随机场的不存在表征纠缠
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-22 DOI: 10.1002/andp.202400035
Andrei Khrennikov
<p>Any pure state <span></span><math> <semantics> <mrow> <mo>|</mo> <mi>Ψ</mi> <mo>⟩</mo> </mrow> <annotation>$|Psi rangle$</annotation> </semantics></math> of a compound system <span></span><math> <semantics> <mrow> <mi>S</mi> <mo>=</mo> <mo>(</mo> <msub> <mi>S</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>S</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> <annotation>$S=(S_1,S_2)$</annotation> </semantics></math> with the state space <span></span><math> <semantics> <mrow> <mi>H</mi> <mo>=</mo> <msub> <mi>H</mi> <mn>1</mn> </msub> <mo>⊗</mo> <msub> <mi>H</mi> <mn>2</mn> </msub> </mrow> <annotation>${cal H}= {cal H}_1otimes {cal H}_2$</annotation> </semantics></math> determines a kind of covariance operator <span></span><math> <semantics> <msub> <mover> <mi>D</mi> <mo>̂</mo> </mover> <mi>Ψ</mi> </msub> <annotation>$hat{D}_Psi$</annotation> </semantics></math> acting in the Cartesian product <span></span><math> <semantics> <mrow> <mi>H</mi> <mo>=</mo> <msub> <mi>H</mi> <mn>1</mn> </msub> <mo>×</mo> <msub> <mi>H</mi> <mn>2</mn> </msub> </mrow> <annotation>${bf H}= {cal H}_1times {cal H}_2$</annotation> </semantics></math>. If this operator is positively defined, then it determines a random field valued in <span></span><math> <semantics> <mi>H</mi> <annotation>${bf H}$</annotation> </semantics></math>. In this case compound quantum system <span></span><math> <semantics> <mi>S</mi> <annotation>$S$</annotation> </semantics></math> can be treated as a classical random field system whose con
一个复合系统 S=(S1,S2)$S=(S_1、S_2)$ 与状态空间 H=H1⊗H2${cal H}= {cal H}_1times {cal H}_2$ 决定了一种协方差算子 D̂Ψ$hat{D}_Psi$ 作用于笛卡尔积 H=H1×H2${bf H}= {cal H}_1times {cal H}_2$.如果这个算子是正定义的,那么它就决定了一个在 H${bf H}$ 中估值的随机场。在这种情况下,复合量子系统 S$S$ 可以被视为经典随机场系统,其配置空间不是张量空间,而是笛卡尔积空间。当且仅当量子态 |Ψ⟩$|Psi rangle$ 不纠缠时,D̂Ψ≥0$hat{D}_Psi ge 0$ 和子量子过程才会存在。冯-诺依曼(von Neumann)已经提出了本注释中使用的技术框架。
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引用次数: 0
New Embedded Wormhole Solutions in Ricci Inverse Gravity 利玛窦反引力中的新嵌入虫洞解决方案
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-20 DOI: 10.1002/andp.202400155
Ghulam Mustafa, Faisal Javed, Sunil Kumar Maurya, Abdelghani Errehymy

In this work, two new embedded WH solutions are obtained by using the Class-I approach in the background of newly fourth-order Ricci inverse gravity. It is shown that the combination of these newly calculated shape functions and Ricci inverse gravity provides us with the possibility of obtaining traversable wormholes. All the required wormhole properties are discussed, along with flaring out and flatness conditions. The embedded diagrams within the scope of upper and lower universes are provided under the effect of both newly calculated embedded shape functions. All the energy conditions are explored with valid and negative regions. The presence of exotic matter is confirmed due to the negative region in all the energy conditions, specifically in the null energy condition. The Doppler effect through the red-blue shifts function is also discussed. Several key findings from the current research are described that demonstrate the validity of these wormhole solutions in Ricci inverse gravity.

在这项工作中,在新的四阶利玛窦反引力背景下,利用 Class-I 方法获得了两个新的嵌入式 WH 解。研究表明,这些新计算的形状函数与利玛窦反引力的结合为我们提供了获得可穿越虫洞的可能性。我们还讨论了所有必要的虫洞特性,以及外扩和平坦条件。在两种新计算的嵌入形状函数的作用下,提供了上下宇宙范围内的嵌入图。探讨了所有能量条件下的有效区域和负区域。在所有能量条件下,特别是在空能量条件下的负区域证实了奇异物质的存在。此外,还讨论了通过红蓝偏移函数产生的多普勒效应。本文描述了当前研究的几个关键发现,证明了这些虫洞解决方案在利玛窦反引力中的有效性。
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引用次数: 0
Cotunneling Effects in the Geometric Statistics of a Nonequilibrium Spin-Resolved Junction 非平衡自旋分辨交界处几何统计中的隧道效应
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-17 DOI: 10.1002/andp.202400143
Mriganka Sandilya, Javed Akhtar, Manash Jyoti Sarmah, Himangshu Prabal Goswami

In the nonequilibrium steady state of electronic transport across a spin-resolved quantronic junction, the role of cotunneling on the emergent statistics under phase-different adiabatic modulation of the reservoirs' chemical potentials is investigated. By explicitly identifying the sequential and inelastic cotunneling rates, the geometric or Pancharatnam–Berry contribution to the spin exchange flux between the spin system and the right reservoir is numerically evaluated. The relevant conditions wherein the sequential and cotunneling processes compete and selectively influence the total geometric flux upshot are identified. The Fock space coherences are found to suppress the cotunneling effects when the system reservoir couplings are comparable. The cotunneling contribution to the total geometric flux can be made comparable to the sequential contribution by creating a right-sided asymmetrically stronger system-reservoir coupling strength. Using a recently proposed geometric thermodynamic uncertainty relationship, the total rate of minimal entropy production is estimated. The geometric flux and the minimum entropy is found to be nonlinear as a function of the interaction energy of the junctions' spin orbitals.

在自旋分辨量子交界处电子传输的非平衡稳态中,研究了在储层化学势的相异绝热调制下,同向隧道对出现的统计量的作用。通过明确识别顺序和非弹性同向隧道率,对自旋系统和右储层之间的自旋交换通量的几何或潘查拉特南-贝里贡献进行了数值评估。确定了序列和同隧道过程竞争并选择性地影响总几何通量的相关条件。研究发现,当系统储层耦合相当时,福克空间相干性会抑制同向隧道效应。通过创建一个右侧不对称的更强系统-储层耦合强度,可使同隧道效应对总几何通量的贡献与顺序贡献相当。利用最近提出的几何热力学不确定性关系,可以估算出最小熵产生的总速率。研究发现,几何通量和最小熵是连接自旋轨道相互作用能量的非线性函数。
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引用次数: 0
Population Fluctuation Mechanism of the Super-Thermal Photon Statistic of Quantum LEDs with Collective Effects 具有集体效应的量子发光二极管超热光子统计的种群波动机制
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-10 DOI: 10.1002/andp.202400121
Igor E. Protsenko, Alexander V. Uskov

The analytical procedure is developed for the calculation of the quantum second-order autocorrelation function g2$g_2$ of a small super-radiant LED, where the field, polarisation, and population of the active medium cannot be eliminated adiabatically. The Langevin force, which describes the effect of population fluctuations on the LED polarisation and preserves the operator commutation relations, is found. It is demonstrated that the super-thermal photon statistics with g2>2$g_2 &gt; 2$ of a small quantum LED with large photon number fluctuations, emitter-field coupling, bad cavity, and operating in the limit n0$n rightarrow 0$, is the result of a combined effect of the spontaneous emission, collective effects and population fluctuations. Analytical expressions for g2$g_2$ and n$n$ are derived.

为计算小型超辐射发光二极管的量子二阶自相关函数 g2$g_2$ 开发了一种分析程序,在这种情况下,有源介质的场、极化和种群不能被绝热消除。研究发现了朗格文力,它描述了种群波动对发光二极管极化的影响,并保留了算子换向关系。研究证明,具有大光子数波动、发射器-场耦合、坏腔的小型量子发光二极管在极限 n→0$n rightarrow 0$ 工作时,其 g2>2$g_2 &gt; 2$ 的超热光子统计是自发辐射、集体效应和种群波动共同作用的结果。推导出了 g2$g_2$ 和 n$n$ 的分析表达式。
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引用次数: 0
Interaction of Hermite–Gaussian Beams with a Macroscopic Atomic Target 赫米特-高斯光束与宏观原子靶的相互作用
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-10 DOI: 10.1002/andp.202400048
S. Ramakrishna, Z. W. Wu, A. V. Maiorova, S. Fritzsche
<p>A theoretical analysis is presented on the photoexcitation of a macroscopic atomic target by a Hermite–Gaussian (HG) beam within the framework of density matrix theory. Special emphasis is paid to the influence of the incoming HG mode on the population of an excited state and the emitted fluorescence radiation. In particular, a general expression for the alignment parameter of the excited state is derived, which depends on the beam parameters of the HG mode. Although the developed theory can be applied to any atomic system, here the electric dipole transition <span></span><math> <semantics> <mrow> <mn>3</mn> <mi>s</mi> <mspace></mspace> <msup> <mrow></mrow> <mn>2</mn> </msup> <msub> <mi>S</mi> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> <mspace></mspace> <mo>→</mo> <mspace></mspace> <mn>3</mn> <mi>p</mi> <mspace></mspace> <msup> <mrow></mrow> <mn>2</mn> </msup> <msub> <mi>P</mi> <mrow> <mn>3</mn> <mo>/</mo> <mn>2</mn> </mrow> </msub> </mrow> <annotation>$3s; {}^{2}S_{1/2}nobreakspace rightarrow nobreakspace 3p ; {}^{2}P_{3/2}$</annotation> </semantics></math> in neutral sodium atoms is investigated when driven by three <span></span><math> <semantics> <msub> <mi>HG</mi> <mn>10</mn> </msub> <annotation>${rm HG}_{10}$</annotation> </semantics></math>, <span></span><math> <semantics> <msub> <mi>HG</mi> <mrow> <mn>01</mn> <mo>,</mo> </mrow> </msub> <annotation>${rm HG}_{01,}$</annotation> </semantics></math> and <span></span><math> <semantics> <msub> <mi>HG</mi> <mn>11</mn> </msub> <annotation>${rm HG}_{11}$</annotation> </semantics></math> modes. For this optical (valence-shell) excitation, it is demonstrated that the population of the excited state is sensitive to the beam waist and the mode index of the HG beam. Furthermore, the influence of beam parameters on the angular distribution and linear polarization of the emitted fluorescence radiation is di
在密度矩阵理论的框架内,对赫米特-高斯(HG)光束对宏观原子靶的光激发进行了理论分析。其中特别强调了进入的 HG 模式对激发态种群和发射的荧光辐射的影响。特别是,推导出了激发态配准参数的一般表达式,该表达式取决于 HG 模式的光束参数。虽然所建立的理论可应用于任何原子系统,但这里研究的是中性钠原子在三个Ⅴ和Ⅴ模式驱动下的电偶极子转变。对于这种光学(价壳)激发,研究表明激发态的种群对 HG 光束的束腰和模式指数很敏感。此外,还讨论了光束参数对发射荧光辐射的角度分布和线性偏振的影响。
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引用次数: 0
(Ann. Phys. 7/2024) (Ann. Phys. 7/2024)
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-08 DOI: 10.1002/andp.202470015

Attention to Entropic Communication

Attention focuses limited cognitive resources on essential information and therefore plays a central role in natural and artificial intelligence. Relative attention entropy allows to focus approximate probability functions on their most relevant parts. In the top image, the attention guided approximation of a double peaked probability density by a Gaussian focuses on the more relevant peak. Bottom: Attention emerges as importance-weighted probability in utility-conscious communication. For further information, see article number 2300334 by Torsten Enßlin and co-workers

注意熵通信注意将有限的认知资源集中在重要信息上,因此在自然和人工智能中发挥着核心作用。相对注意力熵可以将近似概率函数集中在其最相关的部分。上图中,在注意力的引导下,用高斯对双峰概率密度进行近似,将注意力集中在更相关的峰值上。下图在效用意识交流中,注意力作为重要性加权概率出现。更多信息,请参阅托尔斯滕-恩斯林(Torsten Enßlin)及其合作者的第 2300334 号文章。
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引用次数: 0
Masthead: Ann. Phys. 7/2024 刊头Ann.7/2024
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-08 DOI: 10.1002/andp.202470016
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引用次数: 0
Variable Spatial Dynamics of Optical Vortices Produced by a Double Fork-Shaped Grating 双叉形光栅产生的光涡旋的空间动态变化
IF 2.2 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-07-05 DOI: 10.1002/andp.202400120
Erdeny C. Darmaev, Denis A. Ikonnikov, Sergey A. Myslivets, Vasily G. Arkhipkin, Andrey M. Vyunishev

Light diffraction is studied numerically and experimentally on a double fork-shaped grating representing a periodic grating containing two spaced dislocations. The spatial dynamics of the phase singularities (optical vortices) has been investigated as a function of dislocation parameters. Produced optical vortices affect each other while propagating in a free space. For dislocations of the same topological charge, the propagation trajectories and their transverse displacement coordinates depend on the dislocation spacing, and the larger the dislocation spacing, the smaller the relative displacement of the optical vortices and the smaller their trajectory curvatures. For oppositely charged dislocations, three types of spatial behavior of optical vortices are found. The numerical results agree well with the experimental data.

对代表含有两个间隔位错的周期性光栅的双叉形光栅上的光衍射进行了数值和实验研究。作为位错参数的函数,研究了相位奇异点(光涡)的空间动态。产生的光涡旋在自由空间中传播时相互影响。对于拓扑电荷相同的差排,传播轨迹及其横向位移坐标取决于差排间距,差排间距越大,光涡旋的相对位移越小,轨迹曲率越小。对于带相反电荷的位错,发现了三种类型的光涡旋空间行为。数值结果与实验数据非常吻合。
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引用次数: 0
期刊
Annalen der Physik
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