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A 3D field-theoretic example for Hodge theory 霍奇理论的三维场论实例
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-08-20 DOI: 10.1209/0295-5075/ad5f25
A. K. Rao and R. P. Malik
We focus on the continuous symmetry transformations for the three (2 + 1)-dimensional (3D) system of a combination of the free Abelian 1-form and 2-form gauge theories within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism. We establish that this combined system is a tractable field-theoretic model of Hodge theory. The symmetry operators of our present system provide the physical realizations of the de Rham cohomological operators of differential geometry at the algebraic level. Our present investigation is important in the sense that, for the first time, we are able to establish an odd dimensional (i.e., D = 3) field-theoretic system to be an example for Hodge theory (besides earlier works on a few interesting (0 + 1)-dimensional (1D) toy models as well as a set of well-known SUSY quantum mechanical systems of physical interest). For the sake of brevity, we have purposely not taken into account the 3D Chern-Simon term for the Abelian 1-form gauge field in our theory which allows the mass as well as the gauge invariance to co-exist together.
我们在贝奇-鲁特-斯托拉-秋廷(BRST)形式主义的框架内,重点研究了自由阿贝尔1-形式和2-形式规理论组合的三(2 + 1)维(3D)体系的连续对称变换。我们确定这个组合系统是霍奇理论的一个可操作的场论模型。本系统的对称算子提供了微分几何的德拉姆同调算子在代数层面上的物理实现。我们目前的研究之所以重要,是因为我们首次建立了一个奇数维(即 D = 3)的场论系统,作为霍奇理论的范例(除了早先关于一些有趣的(0 + 1)维(1D)玩具模型的工作以及一组著名的具有物理意义的 SUSY 量子力学系统)。为了简洁起见,我们特意没有考虑我们理论中阿贝尔 1 形规量场的三维切尔-西蒙项,因为它允许质量和规量不变性同时存在。
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引用次数: 0
Stability discussion of metal carbonates in aqueous solution: Reactive force field and density functional theory 金属碳酸盐在水溶液中的稳定性讨论:反应力场和密度泛函理论
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-08-20 DOI: 10.1209/0295-5075/ad5b84
Cong Shen, Li Lin, Mu Lan, Xisan Chen and Wan Zhao
The nucleation and precipitation of metal carbonates occupy a crucial position in a wide array of industrial processes, environmental occurrences, and geological formations. Understanding the fundamental mechanisms underlying these processes is paramount for optimizing industrial applications and mitigating environmental impacts. In this study, we embark on an investigation utilizing reactive force field molecular-dynamics simulations to delve deeply into the nucleation and precipitation process of metal carbonates. These simulations provide profound insights into the mechanisms and kinetics governing the process across diverse conditions. Additionally, through density functional theory calculations, we scrutinize the energetic and dynamical stability of highly hydrated amorphous carbonates and hydrate crystals. Our revelations offer illuminating perspectives on the intricate interplay of factors shaping nucleation and precipitation processes, serving as a foundation for future inquiries in this research field.
金属碳酸盐的成核和沉淀在一系列工业过程、环境现象和地质构造中占据着至关重要的地位。了解这些过程的基本机制对于优化工业应用和减轻环境影响至关重要。在本研究中,我们开始利用反应力场分子动力学模拟来深入研究金属碳酸盐的成核和沉淀过程。这些模拟为我们提供了在不同条件下控制该过程的机制和动力学的深刻见解。此外,通过密度泛函理论计算,我们仔细研究了高度水合无定形碳酸盐和水合物晶体的能量和动力学稳定性。我们的发现为影响成核和沉淀过程的各种因素之间错综复杂的相互作用提供了富有启发性的视角,为这一研究领域未来的探索奠定了基础。
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引用次数: 0
Quantum delocalization, structural order, and density response of the strongly coupled electron liquid 强耦合电子液体的量子脱ocalization、结构秩序和密度响应
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-08-20 DOI: 10.1209/0295-5075/ad5d88
Tobias Dornheim, Panagiotis Tolias, Jan Vorberger and Zhandos A. Moldabekov
We investigate the impact of electronic correlations and quantum delocalization onto the static structure factor and static density response function of the strongly coupled electron liquid. In contrast to a classical system, the density response of the electron liquid vanishes on small length scales due to quantum delocalization effects, which we rigorously quantify in terms of imaginary-time correlation functions and dynamic Matsubara response functions. This allows us to analyze the interplay of structural order and dynamic quantum effects as it manifests itself in the dynamic Matsubara local field correction. Finally, we identify an effective electronic attraction in the spin-offdiagonal static density response when the wavelength of the perturbation is commensurate with the average interparticle distance.
我们研究了强耦合电子液体的静态结构因子和静态密度响应函数对电子相关性和量子脱域的影响。与经典系统不同,电子液体的密度响应在小长度尺度上由于量子脱域效应而消失,我们用虚时相关函数和动态松原响应函数对其进行了严格量化。这使我们能够分析结构秩序和动态量子效应的相互作用,因为它体现在动态松原局部场校正中。最后,当扰动的波长与粒子间的平均距离相称时,我们在自旋对角线静态密度响应中发现了有效的电子吸引力。
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引用次数: 0
Non-reversible Monte Carlo: An example of “true” self-repelling motion 不可逆转的蒙特卡洛:"真正的 "自斥运动范例
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-08-20 DOI: 10.1209/0295-5075/ad64ff
A. C. Maggs
We link the large-scale dynamics of non-reversible Monte Carlo algorithms as well as a lifted TASEP to an exactly soluble model of self-repelling motion. We present arguments for the connection between the problems and perform simulations, where we show that the empirical distribution functions generated from Monte Carlo are well described by the analytic solution of self-repelling motion.
我们将非可逆蒙特卡洛算法的大规模动力学以及提升的 TASEP 与自斥运动的精确可解模型联系起来。我们提出了这两个问题之间联系的论据,并进行了模拟,结果表明蒙特卡罗算法产生的经验分布函数很好地描述了自斥运动的解析解。
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引用次数: 0
Maximal acceleration in Rainbow gravity 彩虹引力下的最大加速度
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-08-20 DOI: 10.1209/0295-5075/ad5fb3
Bhagya. R, Harsha Sreekumar and Suman Kumar Panja
In this paper, we derive maximal acceleration of a massive particle in Rainbow gravity. Using eight-dimensional phase-space metric compatible with Rainbow gravity, we obtain the maximal acceleration, valid up to first order in the Rainbow gravity parameter η. Using the positivity condition on maximal acceleration, we find that the upper bound on the Rainbow gravity parameter is of the order of for positron and for a black hole. After obtaining the expression for maximal acceleration for different choices of Rainbow functions, we derive corresponding modifications to Unruh temperature. Comparing with the observational value of the Unruh temperature, we find the upper bound on η as for positron radiation. We then derive geodesic equations for different choices of Rainbow functions and also obtain the Newtonian limit of these geodesic equations. We find that the changes in the value of maximum acceleration, maximum temperature and Newtonian force equation are dependent on the choices of Rainbow functions.
本文推导了大质量粒子在彩虹引力中的最大加速度。利用与彩虹引力兼容的八维相空间度量,我们得到了最大加速度,其有效值可达彩虹引力参数η的一阶。利用最大加速度的正定条件,我们发现彩虹引力参数的上限是正电子和黑洞的数量级。在得到不同彩虹函数选择下的最大加速度表达式之后,我们推导出了对乌鲁赫温度的相应修正。与观测到的乌鲁赫温度值相比,我们找到了正电子辐射的η上限。然后,我们推导出不同彩虹函数选择下的大地方程,并得到这些大地方程的牛顿极限。我们发现,最大加速度、最高温度和牛顿力方程值的变化取决于彩虹函数的选择。
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引用次数: 0
Interference mechanism of plasma self-organization in transparent dielectrics under the intense femtosecond laser pulse exposure 强飞秒激光脉冲照射下透明电介质中等离子体自组织的干涉机制
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-08-20 DOI: 10.1209/0295-5075/ad69bd
A. V. Bogatskaya, E. A. Volkova and A. M. Popov
A new mechanism of plasma self-organization in transparent dielectrics with wide bandgap exposed to the intense tightly focused laser radiation was revealed, which causes the generation of 3D periodic ring structures with subwavelength period both along the laser pulse propagation and in the radial direction. The mechanism involves formation of dense plasma burst in the pre-focal region that provides efficient scattering of the incident wave. The interference of a plane incident laser wave in the focal region and a divergent reflected one will form the standing wave pattern with local minima and maxima of laser field both in the direction of the incident wave propagation and perpendicular to it producing the ring patterns of effective ionization regions in the dielectric volume. Analytical and numerical simulations of the process of laser wave scattering on a near-spherical plasma object with dimensions both smaller and larger than the laser radiation wavelength are performed to verify the proposed model.
研究揭示了宽带隙透明电介质在强激光紧聚焦辐射下等离子体自组织的新机制,该机制导致沿激光脉冲传播方向和径向产生具有亚波长周期的三维周期性环状结构。其机理包括在预聚焦区域形成高密度等离子体爆发,从而有效地散射入射波。焦点区域的平面入射激光波和发散反射波的干涉将形成驻波模式,在入射波传播方向和垂直于入射波传播方向上都有激光场的局部最小值和最大值,从而在介质体积中产生有效电离区域的环形模式。为了验证所提出的模型,我们对激光波在尺寸小于和大于激光辐射波长的近球形等离子体上的散射过程进行了分析和数值模拟。
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引用次数: 0
Mobility-induced kinetic effects in multicomponent mixtures 多组分混合物中由流动性引起的动力学效应
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-08-08 DOI: 10.1209/0295-5075/ad60f3
F. C. Thewes, M. Krüger and P. Sollich
We give an overview exploring the role of kinetics in multicomponent mixtures. Compared to the most commonly studied binary (single species plus solvent) case, multicomponent fluids show a rich interplay between kinetics and thermodynamics due to the possibility of fractionation, interdiffusion of mixture components and collective motion. This leads to a competition between multiple timescales that change depending on the underlying kinetics. At high densities, crowding effects are relevant and non-equilibrium structures can become long-lived. We present the main approaches for the study of kinetic effects in multicomponents mixtures, including the role of crowding, and explore their consequences for equilibrium and non-equilibrium scenarios. We conclude by identifying the main challenges in the field.
我们概述了动力学在多组分混合物中的作用。与最常研究的二元(单一物种加溶剂)情况相比,多组分流体由于可能存在分馏、混合物成分的相互扩散和集体运动,动力学和热力学之间呈现出丰富的相互作用。这导致了多种时标之间的竞争,而这些时标的变化取决于基本动力学。在高密度条件下,拥挤效应会产生影响,非平衡结构会变得长寿。我们介绍了研究多组分混合物动力学效应的主要方法,包括拥挤效应的作用,并探讨了它们对平衡和非平衡情景的影响。最后,我们确定了该领域的主要挑战。
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引用次数: 0
Model-based machine learning of critical brain dynamics 基于模型的大脑关键动态机器学习
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-08-06 DOI: 10.1209/0295-5075/ad5468
Hernán Bocaccio and Enzo Tagliazucchi
Criticality can be exactly demonstrated in certain models of brain activity, yet it remains challenging to identify in empirical data. We trained a fully connected deep neural network to learn the phases of an excitable model unfolding on the anatomical connectome of human brain. This network was then applied to brain-wide fMRI data acquired during the descent from wakefulness to deep sleep. We report high correlation between the predicted proximity to the critical point and the exponents of cluster size distributions, indicative of subcritical dynamics. This result demonstrates that conceptual models can be leveraged to identify the dynamical regime of real neural systems.
临界性可以在某些大脑活动模型中得到精确证明,但要在经验数据中识别临界性仍然具有挑战性。我们训练了一个全连接深度神经网络,以学习在人脑解剖连接组上展开的兴奋模型的阶段。然后,我们将该网络应用于从清醒状态进入深度睡眠时获取的全脑 fMRI 数据。我们报告了预测的临界点接近程度与集群大小分布指数之间的高度相关性,这表明了亚临界动力学。这一结果表明,概念模型可以用来识别真实神经系统的动力学机制。
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引用次数: 0
Perspective on physical interpretations of Rényi entropy in statistical mechanics 透视统计力学中雷尼熵的物理解释
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-08-01 DOI: 10.1209/0295-5075/ad5d89
Misaki Ozawa and Nina Javerzat
Rényi entropy is a one-parameter generalization of Shannon entropy, which has been used in various fields of physics. Despite its wide applicability, the physical interpretations of the Rényi entropy are not widely known. In this paper, we discuss some basic properties of the Rényi entropy relevant to physics, in particular statistical mechanics, and its physical interpretations using free energy, replicas, work, and large deviation.
雷尼熵是香农熵的单参数广义化,已被用于物理学的各个领域。尽管雷尼熵具有广泛的适用性,但它的物理解释并不广为人知。在本文中,我们将讨论雷尼熵与物理学(尤其是统计力学)相关的一些基本性质,以及利用自由能、复制品、功和大偏差对其进行的物理解释。
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引用次数: 0
gravity with spacetime torsion 具有时空扭转的引力
IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
EPL
Pub Date : 2024-07-30 DOI: 10.1209/0295-5075/ad59bf
Hitender Kumar, Tanmoy Paul and Soumitra SenGupta
The duality between a higher-curvature f(R) gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher-derivative terms in the gravity action. Such a degree of freedom which appears as a scalar field has been shown to have multiple implications in the cosmological/astrophysical scenario. The present work proposes a novel generalization to this correspondence between f(R) gravity and a dual scalar-tensor theory when the affine connection is considered to have an antisymmetric part. It turns out that the f(R) action in the presence of spacetime torsion can be recast to a coupled scalar-tensor theory with a 2-rank massless antisymmetric tensor field in the Einstein frame, where the scalar field gets coupled with the antisymmetric field through derivative coupling(s).
高曲率 f(R)引力模型与标量张量理论之间的二元性有助于揭示引力作用中的高衍生项所产生的额外自由度的作用。这种以标量场形式出现的自由度已被证明在宇宙学/天体物理学场景中具有多重意义。当仿射连接被视为具有反对称部分时,本研究提出了对 f(R) 引力与二元标量张量理论之间这种对应关系的新概括。事实证明,存在时空扭转时的 f(R) 作用可以重铸为爱因斯坦框架中带有 2 级无质量反对称张量场的耦合标量-张量理论,其中标量场通过导数耦合与反对称场耦合。
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引用次数: 0
期刊
EPL
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