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Physica
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Physica

North-Holland

0378-4371

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    Metro station risk classification based on smart card data: A case study in Beijing

    Zhou, YuyangZheng, ShuyanHu, ZhonghuiChen, Yanyan...
    16页
    查看更多>>摘要:As the hub of urban railway transit, metro stations portray the skeleton structure of the public transit network. This study proposes a method of station classification from the dual perspectives of network structure and passenger flow. Each perspective considers the two aspects, one is the characteristics of the node itself, such as degree and the entrance and exit ridership; another considers the characteristics of the influence of other nodes, such as betweenness centrality and passing flow. Among them, the importance index of passing flow is calculated by the PageRank algorithm. According to these characteristics, metro stations are classified by k-means clustering algorithm after dimensionality reduction. The case study is conducted through nearly five million records from 278 stations in Beijing. From the classification results, stations are divided into six categories. Qualitative and quantitative regulations are proposed to reduce the risk of high ridership stations and improve the operation efficiency for few ridership stations.(C) 2022 Elsevier B.V. All rights reserved.

    Green's function for two absorbing boundaries in the reaction-diffusion system: Beyond Oster-Nishijima Model in barrierless reaction

    Samanta, ChinmoyChakraborty, Aniruddha
    12页
    查看更多>>摘要:We have derived the green's function in the time domain for the presence of two local-ized sinks of finite strength on the potential energy surface in the barrierless reaction- diffusion processes. The previously proposed method (Saravanan and Chakraborty, 2020) has parametric limitations to find the time domain solution, whereas our present method gives the complete solution to the diffusion equation. Also experimentally observed nearly bi-exponential decay due to strong asymmetric placement of sinks has been observed. (C)& nbsp;2022 Elsevier B.V. All rights reserved.

    Investigation of the Nernst-Planck model for a viscous fluid between squeezing plates of magnetic field of variable intensity

    Khan, Muhammad SohailShah, Rehan AliMei, SunKhan, Aamir...
    13页
    查看更多>>摘要:This paper explores the significant effects of convective transport of ions in the presence of a variable magnetic field over three-dimensional pressure driven electro-viscous fluid flow. The physical phenomena is modeled using the basic governing equations of fluid flow, as well as the magnetic equations, the Poisson equations, the Nernst Planck equations, and the energy equations. The governing equations have been transferred to the system of ODEs through a well-known similarity transformation techniques, and then solved numerically by parametric continuation method for the different values of the controlling parameters. The results have been displayed quantitatively in the table as well as graphically. In addition, the entropy of the system is modeled and solved numerically to demonstrate the performance of the system. The behavior of the electroviscous fluid flow has been observed for various physical parameters such as velocity profile, temperature profile, magnetic field, entropy generation and found that the electroviscous fluid flow is a control phenomenon to normalize the flow properties. For the validity of the numerical scheme, the solution of the proposed model is compared with the solution by BVP4C. (C)& nbsp;2022 Elsevier B.V. All rights reserved.

    Impact of leading speed pattern on oscillation evolution in stochastic linear car-following models

    Du, JunJia, BinJiang, RuiZheng, Shi-Teng...
    11页
    查看更多>>摘要:Understanding the spatiotemporal evolution mechanism of traffic oscillation is of great significance in the traffic flow studies. Recently, a frequency-domain stability analysis has been performed to study oscillation evolution in linear stochastic car-following models. This paper extends the analysis to investigate the impact of leading speed pattern on oscillation evolution. Speed variance of each vehicle in the car-following platoon has been derived analytically, which reveals (i) If the underlying deterministic car-following model is stable, the speed variance yielded by stochastic linear car following model will converge to a constant value, which depends on the stochasticity strength, but is independent of the leading speed pattern. (ii) The amplitude of traffic oscillation might monotonically increase or change nonmonotonically, depending on the leading speed pattern. Numerical simulations are performed, and the results are in good agreement with the analytical ones. (C)& nbsp;2022 Elsevier B.V. All rights reserved.

    An improved algorithm for computing hitting probabilities of quantum walks

    Zhang, YanbingSong, TingtingWu, Zhihao
    7页
    查看更多>>摘要:Quantum walks are the quantum corresponding version of classical random walks, providing polynomial and even exponential acceleration for some classical difficult problems. In recent years, there have been numerous researches on quantum walks, among which the hitting probabilities problem is another crucial problem. In 2021, Guan et al. have proposed an HHL-based algorithm to calculate the hitting probabilities of quantum walks, which can effectively transform the original problem into an inverse matrix problem, then achieve an acceleration effect on the corresponding classical algorithm under some specific conditions. However, we propose a new algorithm consisting of an improved quantum matrix inversion algorithm with complexity O [kappa 2 log1.5(kappa/epsilon)poly log(n)], where kappa is the condition number of the matrix, n + 1 is the number of positions of the one-dimensional quantum walks, and epsilon is the expected accuracy of the output state. Compared to the HHL-based algorithm, our improved algorithm achieves an exponential improvement in the dependence on accuracy. (c) 2022 Elsevier B.V. All rights reserved.

    An empirical analysis of the global input-output network and its evolution

    Grazzini, JakobSpelta, Alessandro
    21页
    查看更多>>摘要:This paper studies the global production network using a general equilibrium model calibrated on world input-output data. The analysis of propagation of idiosyncratic productivity shocks in the calibrated model allows to define a model-based network centrality measure. Such measure is used to investigate the topology of the global input-output network in 2014 and its evolution from 2000 to 2014. We find that new influential sectors have emerged over time. Moreover, we show that the global production system has evolved to become more sensitive to idiosyncratic productivity shocks and that this result is related to the increase of the intermediate input intensity of production. (c) 2022 Elsevier B.V. All rights reserved.

    Permutation-Loewner entropy analysis for 2-dimensional Ising system interface

    Shibasaki, Yusuke
    9页
    查看更多>>摘要:The structure of the 2-dimensional (2D) Ising system interface has been investigated in various theoretical statistical physics studies. Although the relationships between the interface geometry and physical properties of the system have already been indicated, in this study, we consider their alternative expressions using the chordal Loewner evolution and permutation entropy method. The Loewner driving forces corresponding to the Ising interfaces for below and at the critical temperature Tc were numerically calculated and analyzed by examining their pattern frequency, entropy, and distance to white noise in the theoretical scheme of the permutation entropy method. Using this permutationLoewner entropy (PLE) method, we found an exponential function-type relation between the PLE and mean energy of the Ising system, which provides a connection between the theory of Loewner evolution and 2D statistical mechanical systems. (c) 2022 Elsevier B.V. All rights reserved.

    Pedestrian dynamics of single-file experiments with music considering different music and different instructions

    Zeng, GuangZhang, JunYe, RuiCao, Shuchao...
    17页
    查看更多>>摘要:Pedestrian crowds are common in public facilities. It is essential to manage pedestrian flow for the safety of pedestrians. The rhythm is a potential method for improving pedestrian flow. Here we studied pedestrian dynamics with music by a series of single-file experiments considering different kinds of music (motivational music and nonmotivational music) and different instructions (listen to the music while walking, follow the beat of the music). To observe the effect of music on pedestrian movement, the condition without any rhythm and that with music were connected without breaking in a same run. Trajectories of the pedestrians were extracted and further analyzed. It is found that the effect of music on pedestrian flow can be observed directly. Both different kinds of music and different instructions can influence pedestrian motion. Pedestrians walk more quickly with the motivational music at all densities when instructed to listen to the music while walking. While they will walk more slowly at low density and more quickly at high density with the nonmotivational music. But when the participants are asked to follow the music, the velocity of pedestrians is only influenced by the music at high density. Comparing fundamental diagrams, we found that the music can improve pedestrian flow at most conditions. Our study will be helpful for understanding the effect of music on pedestrian dynamics. (C)& nbsp;2022 Elsevier B.V. All rights reserved.

    Emergent networks in fractional percolation

    Valdez, L. D.Braunstein, L. A.
    11页
    查看更多>>摘要:Real networks are vulnerable to random failures and malicious attacks. However, when a node is harmed or damaged, it may remain partially functional, which helps to maintain the overall network structure and functionality. In this paper, we study the network structure for a fractional percolation process (Shang, 2014), in which the state of a node can be either fully functional (FF), partially functional (PF), or dysfunctional (D). We develop new equations to calculate the relative size of the percolating cluster of FF and PF nodes, that are in agreement with our stochastic simulations. In addition, we find a regime in which the percolating cluster can be described as a coarse-grained bipartite network, namely, as a set of finite groups of FF nodes connected by PF nodes. Moreover, these groups behave as a set of "supernodes "with a power-law degree distribution. Finally, we show how this emergent structure explains the values of several critical exponents around the percolation threshold. (C)& nbsp;2022 Elsevier B.V. All rights reserved.

    DNA coding and Godel numbering

    Nicolaidis, ArgyrisPsomopoulos, Fotis
    11页
    查看更多>>摘要:We consider a DNA strand as a mathematical statement. Inspired by the work of Kurt Godel, we attach to each DNA strand a Godel's number, a product of prime numbers raised to appropriate powers. To each DNA chain corresponds a single Godel's number G, and inversely given a Godel's number G, we can specify the DNA chain it stands for. Next, considering a single DNA strand composed of N bases, we study the statistical distribution of g, the logarithm of G. Our assumption is that the choice of the mth term is random and with equal probability for the four possible outcomes. The 'experiment', to some extent, is similar to throwing N times a four-faces die. Through the moment generating function we obtain the discrete and then the continuum distribution of g. There is an excellent agreement between our formalism and simulated data. At the end we compare our formalism to actual data, to specify the presence of non-random fluctuations. (C) 2022 Elsevier B.V. All rights reserved.