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CTMRG study of the critical behavior of an interacting-dimer model 交互二聚体模型临界行为的 CTMRG 研究
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-08-01 DOI: 10.1088/1742-5468/ad5c5d
C Chatelain
The critical behavior of a dimer model with an interaction favoring parallel dimers in each plaquette of the square lattice is studied numerically using the corner transfer matrix renormalization group algorithm. The critical exponents are known to depend on the chemical potential of vacancies, or monomers. At large average density of the latter, the phase transition becomes the first-order. We compute the scaling dimensions of both the order parameter and temperature in the second-order regime and compare them with the conjecture that the critical behavior is the same as the Ashkin–Teller model on its self-dual critical line.
利用角转移矩阵重正化群算法,对二聚体模型的临界行为进行了数值研究,该模型的相互作用有利于正方形晶格每个格子中的平行二聚体。众所周知,临界指数取决于空位或单体的化学势。当后者的平均密度较大时,相变就成为一阶相变。我们计算了二阶体系中阶参数和温度的缩放维数,并将其与临界行为与自双临界线上的阿什金-泰勒模型相同的猜想进行了比较。
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引用次数: 0
Minimal model for chirally induced spin selectivity: spin-orbit coupling, tunneling and decoherence 手性诱导自旋选择性的最小模型:自旋轨道耦合、隧道和退相干
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-08-01 DOI: 10.1088/1742-5468/ad613b
Miguel Mena, Solmar Varela, Bertrand Berche and Ernesto Medina
Here we review a universal model for chirally induced spin-selectivity (CISS) as a standalone effect occurring in chiral molecules. We tie together the results of forward scattering in the gas phase to the results for photoelectrons in chiral self-assembled monolayers, and the more contemporary results in two terminal transport setups. We discuss the ingredients that are necessarily present in all experiments to date, which we identify as: (i) chirality, be it point, helical or configurational, (ii) the spin–orbit coupling as the spin active coupling of atomic origin, (iii) decoherence as a time-reversal symmetry breaking mechanism that avoids reciprocity relations in the linear regime and finally (iv) tunneling that accounts for the magnitude of the spin polarization effect. This proposal does not discard other mechanisms that can yield comparable spin effects related to interactions of the molecule to contacts or substrates that have been proposed but are less universal or apply to specific situations. Finally, we discuss recent results suggesting CISS as a molecular phenomenon in the realms of enantiomer selectivity, coherent electron transfer, and spin effects in chiroptical activity.
在此,我们回顾了手性诱导自旋选择性(CISS)作为手性分子中发生的独立效应的通用模型。我们将气相中的前向散射结果、手性自组装单层中的光电子结果以及两个末端传输装置中的最新结果结合在一起。我们讨论了迄今为止所有实验中必然存在的要素,我们将其确定为(i) 手性,无论是点手性、螺旋手性还是构型手性;(ii) 自旋轨道耦合,作为原子自旋主动耦合;(iii) 退相干,作为时间反转对称性破坏机制,避免了线性机制中的互易关系;最后 (iv) 隧道效应,解释了自旋极化效应的大小。这一建议并不排除其他机制,这些机制可以产生与分子与接触或基质的相互作用有关的类似自旋效应。最后,我们讨论了最近在对映体选择性、相干电子转移和自旋效应等领域的研究结果,这些结果表明 CISS 是一种分子现象。
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引用次数: 0
A functional renormalization group for signal detection and stochastic ergodicity breaking 用于信号检测和随机遍历性破缺的功能重正化群
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-08-01 DOI: 10.1088/1742-5468/ad5c5c
Harold Erbin, Riccardo Finotello, Bio Wahabou Kpera, Vincent Lahoche and Dine Ousmane Samary
Signal detection is one of the main challenges in data science. As often happens in data analysis, the signal in the data may be corrupted by noise. There is a wide range of techniques that aim to extract the relevant degrees of freedom from data. However, some problems remain difficult. This is notably the case for signal detection in almost continuous spectra when the signal-to-noise ratio is small enough. This paper follows a recent bibliographic line, which tackles this issue with field-theoretical methods. Previous analysis focused on equilibrium Boltzmann distributions for an effective field representing the degrees of freedom of data. It was possible to establish a relation between signal detection and -symmetry breaking. In this paper, we consider a stochastic field framework inspired by the so-called ‘model A’, and show that the ability to reach, or not reach, an equilibrium state is correlated with the shape of the dataset. In particular, by studying the renormalization group of the model, we show that the weak ergodicity prescription is always broken for signals that are small enough, when the data distribution is close to the Marchenko–Pastur law. This, in particular, enables the definition of a detection threshold in the regime where the signal-to-noise ratio is small enough.
信号检测是数据科学的主要挑战之一。在数据分析中,数据中的信号经常会被噪声干扰。有多种技术旨在从数据中提取相关的自由度。然而,有些问题仍然难以解决。尤其是在信噪比足够小的情况下,几乎连续光谱中的信号检测。本文沿用了最近的文献路线,用场理论方法解决这一问题。以往的分析侧重于代表数据自由度的有效场的平衡波尔兹曼分布。我们有可能在信号探测和对称性破缺之间建立一种关系。在本文中,我们考虑了受所谓 "模型 A "启发的随机场框架,并证明了达到或未达到平衡状态的能力与数据集的形状相关。特别是,通过研究模型的重正化群,我们表明,当数据分布接近马琴科-帕斯图尔定律时,信号足够小时,弱遍历性规定总是被打破。这尤其有助于在信噪比足够小的情况下定义探测阈值。
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引用次数: 0
Exact partition function of the Potts model on the Sierpinski gasket and the Hanoi lattice 西尔平斯基垫圈和河内晶格上波茨模型的精确分割函数
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-08-01 DOI: 10.1088/1742-5468/ad64bc
P D Alvarez
We present an analytic study of the Potts model partition function on the Sierpinski and Hanoi lattices, which are self-similar lattices of triangular shape with non integer Hausdorff dimension. Both lattices are examples of non-trivial thermodynamics in less than two dimensions, where mean field theory does not apply. We used and explain a method based on ideas of graph theory and renormalization group theory to derive exact equations for appropriate variables that are similar to the restricted partition functions. We benchmark our method with Metropolis Monte Carlo simulations. The analysis of fixed points reveals information of location of the Fisher zeros and we provide a conjecture about the location of zeros in terms of the boundary of the basins of attraction.
我们介绍了对西尔平斯基网格和河内网格上波特斯模型分割函数的分析研究,这两个网格是具有非整数豪斯多夫维度的三角形自相似网格。这两个晶格都是小于二维的非三维热力学的例子,其中均值场理论并不适用。我们使用并解释了一种基于图论和重正化群理论的方法,以推导出与受限分区函数类似的适当变量的精确方程。我们用 Metropolis 蒙特卡罗模拟对我们的方法进行了基准测试。对定点的分析揭示了费雪零点的位置信息,我们根据吸引力盆地的边界对零点的位置提出了猜想。
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引用次数: 0
Thermal rectification in segmented Frenkel–Kontorova lattices with asymmetric next-nearest-neighbor interactions 具有不对称近邻相互作用的分段 Frenkel-Kontorova 晶格中的热整流
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-08-01 DOI: 10.1088/1742-5468/ad5c5a
M Romero-Bastida and A Poceros Varela
In this work, we conduct an extensive study of the asymmetric heat flow, i.e. thermal rectification, present in the two-segment Frenkel Kontorova model with both nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions. We have considered systems with both high and low asymmetry and determined that, in the weak-coupling limit, thermal rectification is larger when NNN interactions are relevant. The behavior of the heat fluxes as a function of the coupling strength between the two segments is largely consistent with a well-defined rectification for larger system sizes. The local heat fluxes present a very different behavior for systems with high and low asymmetry. The results of this work may help in the design of molecular bridges, which have recently been shown to be able to function as thermal rectification devices.
在这项工作中,我们对具有最近邻(NNN)和最近邻(NNN)相互作用的两段 Frenkel Kontorova 模型中存在的不对称热流(即热整流)进行了广泛研究。我们考虑了具有高和低不对称性的系统,并确定在弱耦合极限下,当 NNN 相互作用相关时,热整流会更大。热通量与两段耦合强度之间的函数关系与较大系统尺寸的明确整流基本一致。对于不对称程度较高和较低的系统,局部热通量的表现截然不同。这项工作的结果可能有助于分子桥的设计,分子桥最近已被证明能够作为热整流装置发挥作用。
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引用次数: 0
Laplacian renormalization group: an introduction to heterogeneous coarse-graining 拉普拉斯重正化群:异质粗粒化入门
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-08-01 DOI: 10.1088/1742-5468/ad57b1
Guido Caldarelli, Andrea Gabrielli, Tommaso Gili and Pablo Villegas
The renormalization group (RG) constitutes a fundamental framework in modern theoretical physics. It allows the study of many systems showing states with large-scale correlations and their classification into a relatively small set of universality classes. The RG is the most powerful tool for investigating organizational scales within dynamic systems. However, the application of RG techniques to complex networks has presented significant challenges, primarily due to the intricate interplay of correlations on multiple scales. Existing approaches have relied on hypotheses involving hidden geometries and based on embedding complex networks into hidden metric spaces. Here, we present a practical overview of the recently introduced Laplacian RG (LRG) for heterogeneous networks. First, we present a brief overview that justifies the use of the Laplacian as a natural extension of well-known field theories to analyze spatial disorder. We then draw an analogy to traditional real-space RG procedures, explaining how the LRG generalizes the concept of ‘Kadanoff supernodes’ as block nodes that span multiple scales. These supernodes help mitigate the effects of cross-scale correlations due to small-world properties. Additionally, we rigorously define the LRG procedure in momentum space in the spirit of the Wilson RG. Finally, we show different analyses for the evolution of network properties along the LRG flow following structural changes when the network is properly reduced.
重正化群(RG)是现代理论物理的基本框架。它允许对许多系统进行研究,这些系统显示出具有大尺度相关性的状态,并将它们归入一组相对较小的普遍性类别。RG 是研究动态系统内组织尺度的最强大工具。然而,将 RG 技术应用于复杂网络面临着巨大挑战,这主要是由于多个尺度上的相关性错综复杂。现有方法依赖于涉及隐蔽几何的假设,并基于将复杂网络嵌入隐蔽度量空间。在此,我们将对最近推出的用于异构网络的拉普拉斯 RG(LRG)进行实用性概述。首先,我们简要概述了拉普拉斯函数作为众所周知的场理论的自然扩展来分析空间无序性的合理性。然后,我们类比了传统的实空间 RG 程序,解释了 LRG 如何将 "Kadanoff 超级节点 "的概念推广为跨越多个尺度的块节点。这些超节点有助于减轻由于小世界特性而产生的跨尺度相关性的影响。此外,我们本着威尔逊 RG 的精神,在动量空间中严格定义了 LRG 程序。最后,我们展示了在适当缩小网络结构后,网络属性沿 LRG 流程演变的不同分析。
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引用次数: 0
Critical speeding-up in dynamical percolation 动态渗流中的临界加速
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-07-30 DOI: 10.1088/1742-5468/ad6137
Eren Metin Elçi, Timothy M Garoni
We study the autocorrelation time of the size of the cluster at the origin in discrete-time dynamical percolation. We focus on binary trees and high-dimensional tori, and show in both cases that this autocorrelation time is linear in the volume in the subcritical regime, but strictly sublinear in the volume at criticality. This establishes rigorously that the cluster size at the origin in these models exhibits critical speeding-up. The proofs involve controlling relevant Fourier coefficients. In the case of binary trees, these Fourier coefficients are studied explicitly, while for high-dimensional tori we employ a randomised algorithm argument introduced by Schramm and Steif in the context of noise sensitivity.
我们研究了离散时间动态渗滤中原点处集群大小的自相关时间。我们重点研究了二叉树和高维环,结果表明,在这两种情况下,自相关时间在次临界机制下与体积呈线性关系,但在临界时与体积呈严格的次线性关系。这就严格确定了在这些模型中,原点处的簇大小表现出临界加速。证明涉及控制相关的傅立叶系数。在二叉树的情况下,这些傅里叶系数是明确研究的,而对于高维环,我们采用了施拉姆和斯蒂夫在噪声敏感性背景下引入的随机算法论证。
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引用次数: 0
An experimental study on the impact of motivation and gender on pedestrian movement characteristics in a bottleneck flow 关于动机和性别对瓶颈人流中行人移动特征影响的实验研究
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-07-29 DOI: 10.1088/1742-5468/ad6136
Hongliu Li, Xudong Li, Weiguo Song, Jun Zhang, Jacqueline TY Lo
The influence of different motivations on pedestrian evacuation efficiency, like whether incentivizing faster moving or encouraging polite behaviors is beneficial to evacuation, and the potential existence of gender-based differences, still lacks clear answers. This study aims to narrow this gap by conducting a laboratory bottleneck evacuation experiment to investigate the influence of movement motivation and gender of pedestrians on evacuation efficiency. Our findings reveal that both bottleneck width and pedestrian motivation significantly impact the flow. For men, when the bottleneck width surpasses a threshold, high motivation increases the flow; below this threshold, it reduces the flow. For women, high motivation consistently leads to higher evacuation efficiency than normal motivation regardless of the bottleneck width. The time interval is significantly influenced by the bottleneck width, pedestrians’ gender and their interaction term. Increasing bottleneck width does not always lead to a decrease in density when men are highly motivated; while for women, wider bottlenecks alleviate congestion around the exit.
不同的动机对行人疏散效率的影响,如激励更快的移动或鼓励礼貌行为是否有利于疏散,以及性别差异的潜在存在,仍然缺乏明确的答案。本研究旨在通过开展实验室瓶颈疏散实验,研究行人的行动动机和性别对疏散效率的影响,从而缩小这一差距。我们的研究结果表明,瓶颈宽度和行人动机都会对人流产生重大影响。对于男性来说,当瓶颈宽度超过临界值时,高动机会增加人流量;低于临界值时,高动机会减少人流量。对于女性来说,无论瓶颈宽度如何,高积极性始终会比普通积极性带来更高的疏散效率。时间间隔受瓶颈宽度、行人性别及其交互项的影响很大。当男性的积极性较高时,增加瓶颈宽度并不总是导致密度下降;而对于女性来说,较宽的瓶颈可以缓解出口周围的拥堵。
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引用次数: 0
Exact solution of the nonlinear boson diffusion equation for gluon scattering 胶子散射的非线性玻色子扩散方程的精确解
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-07-29 DOI: 10.1088/1742-5468/ad5a78
L Möhringer, G Wolschin
An exact analytical solution of the nonlinear boson diffusion equation is presented. It accounts for the time evolution toward the Bose–Einstein equilibrium distribution through inelastic and elastic collisions in the case of constant transport coefficients. As a currently interesting application, gluon scattering in relativistic heavy-ion collisions is investigated. An estimate of the time-dependent gluon-condensate formation in overoccupied systems through number-conserving elastic scatterings in Pb–Pb collisions at relativistic energies is given.
本文提出了非线性玻色子扩散方程的精确解析解。它说明了在传输系数不变的情况下,通过非弹性和弹性碰撞向玻色-爱因斯坦平衡分布的时间演化。作为目前一个有趣的应用,研究了相对论重离子碰撞中的胶子散射。通过相对论能量下 Pb-Pb 碰撞中数量守恒的弹性散射,给出了过占系统中与时间相关的胶子凝集物形成的估计值。
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引用次数: 0
Experimental study on mechanical transfer regularity and step distance of individuals under different collision impulse 不同碰撞冲力下个体机械传递规律性和步距的实验研究
IF 2.4 3区 物理与天体物理 Q2 MECHANICS Pub Date : 2024-07-25 DOI: 10.1088/1742-5468/ad613c
Liangchang Shen, Haiyang Huang, Yushan Song and Wenguo Weng
In the process of emergency evacuation, the fall of an individual may lead to the instability of surrounding pedestrians. The evacuation routes would be obstructed by fallen pedestrians, thereby diminishing the evacuation efficiency and increasing the overall crowd risk. The purpose of this study is to explore the balance-recovery process of pedestrians under collision. The study conducted a series of experiments to obtain the total step distance and number of steps taken by individuals during the balance-recovery process under different impulses. The impulse applied by the unstable individual to the obstacle ahead for balance recovery was also measured. The gait characteristics and mechanical principles of the individuals in the balance-recovery process after collision force were analyzed. The results indicate that individuals can recover balance within a 90 cm step distance if the impulse received is in the range of 20–160 N s. The relationship between the step distance of an individual and the impulse received can be expressed as a quadratic function. When stepping is prohibited, the impulse applied by the individual to the obstacle ahead is approximately 1.85 times the impulse he received. However, if stepping is allowed, the dispersion of the impulse applied to the obstacle gradually decreases with increasing step space. Additionally, logistic regression models were constructed to calculate individual instability probabilities for different conditions based on the experimental data. These results can serve as a foundation method for evaluating the individual and group instability risk during emergency evacuation scenarios.
在紧急疏散过程中,一个人的跌倒可能会导致周围行人的不稳定。跌倒的行人会阻碍疏散路线,从而降低疏散效率,增加人群的整体风险。本研究的目的是探索碰撞下行人的平衡恢复过程。研究进行了一系列实验,以获得在不同冲力下,个体在平衡恢复过程中的总步幅和步数。此外,还测量了不稳定个体为恢复平衡而对前方障碍物施加的冲力。分析了个体在受到碰撞力后恢复平衡过程中的步态特征和机械原理。结果表明,如果受到的冲力在 20-160 牛-秒范围内,个体可以在 90 厘米的步距内恢复平衡。当禁止迈步时,个体对前方障碍物施加的冲量约为其接收到的冲量的 1.85 倍。但是,如果允许步进,则施加到障碍物上的脉冲的离散度会随着步进空间的增大而逐渐减小。此外,还根据实验数据构建了逻辑回归模型,以计算不同条件下的个体不稳定性概率。这些结果可作为评估紧急疏散场景中个体和群体不稳定风险的基础方法。
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引用次数: 0
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Journal of Statistical Mechanics: Theory and Experiment
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