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Physica
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Physica

North-Holland

0378-4371

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    Thermal properties of the one-dimensional space quantum fractional Dirac Oscillator

    Korichi, NabilBoumali, AbdelmalekHassanabadi, Hassan
    18页
    查看更多>>摘要:In this paper, we investigate the fractional version of the one-dimensional relativistic oscillators. We apply some important definitions and properties of a new kind of fractional formalism on the Dirac oscillator (DO). By using a semiclassical approximation, the energy eigenvalues have been determined for the oscillator. The obtained results show a remarkable influence of the fractional parameter on the energy eigenvalues. By considering a unique energy spectrum, we present a simple numerical computation of the thermal properties of a defined energy spectrum of a system. the Euler- Maclaurin formula has been used to calculate the partition function and therefore the associated thermodynamics quantities. In addition, the eigensolutions of the fractional Dirac oscillator, based on the factorization method, have been determined. (C) 2021 Elsevier B.V. All rights reserved.

    Predicting the survivability of invasive species with mutualistic and competing interaction networks

    Duan DongliWu ChengxingSi Shubin
    11页
    查看更多>>摘要:Ecosystem can be abstracted as a complex network of interactions between species. We develop a mathematical framework to explore the survivability of alien species through the interaction between invasive species and local ecosystems. The proposed approach allows us to reduce N-dimensional systems involving symbiosis and competition into one-dimensional problem with mean-field theory, so as to reveal the invasion mechanism of alien species into the local interaction networks. Our results suggest that whether an alien species can invade successfully depends on the structure of the ecosystem as well as the change of interactions between species caused by alien species. The invasion process can be classified into four patterns according to the level of difficulty of invasive local ecosystems by alien species, which can help us better understand and intervene the spreading process of alien species. (C) 2021 Elsevier B.V. All rights reserved.

    Corrections for "Agreement coordination of fractional- order multi-agent systems with reaction-diffusion and persistent disturbances"

    Mo, LipoYu, YongguangYuan, Xiaolin
    2页
    查看更多>>摘要:In this paper, an error is corrected in the proof of Theorem 6 of Yuan et al. (2019). (C) 2021 Elsevier B.V. All rights reserved.

    Influence of the neighborhood on cyclic models of biodiversity

    Bazeia, D.Bongestab, M.de Oliveira, B. F.
    11页
    查看更多>>摘要:This work deals with the influence of the neighborhood in simple rock-paper-scissors models of biodiversity. We consider the case of three distinct species which evolve under the standard rules of mobility, reproduction and competition. The rule of competition follows the guidance of the rock-paper-scissors game, with the prey being annihilated, leaving an empty site in accordance with the May-Leonard proposal for the predator and prey competition. We use the von Neumann neighborhood, but we consider mobility under the presence of the nearest, next nearest and next to next nearest neighbors in three distinct environments, one with equal probability and the others with probability following power law and exponential profiles. The results are different, but they all show that increasing the neighborhood increases the characteristic length of the system in an important way. We have studied other models, in particular the case where one modifies the manner a specific species competes, breaking the cyclic evolution and unveiling the interesting result in which the strongest individuals may constitute the less abundant population. (C) 2021 Elsevier B.V. All rights reserved.

    Attention meets long short-term memory: A deep learning network for traffic flow forecasting

    Fang, WeiweiZhuo, WenhaoYan, JingwenSong, Youyi...
    14页
    查看更多>>摘要:Accurate forecasting of future traffic flow has a wide range of applications, which is a fundamental component of intelligent transportation systems. However, timely and accurate traffic forecasting remains an open challenge due to the high nonlinearity and volatility of traffic flow data. Canonical long short-term memory (LSTM) networks are easily drawn to focus on min-to-min fluctuations rather than the long term dependencies of the traffic flow evolution. To address this issue, we propose to introduce an attention mechanism to the long short-term memory network for short-term traffic flow forecasting. The attention mechanism helps the network model to assign different weights to different inputs, focus on critical and important information, and make accurate predictions. Extensive experiments on four benchmark data sets show that the LSTM network equipped with an attention mechanism has superior performance compared with commonly used and state-of-the-art models. (C) 2021 Elsevier B.V. All rights reserved.

    Dynamic correlation of market connectivity, risk spillover and abnormal volatility in stock price

    Huang, DifangWu, BoyaoChen, MuziLi, Nan...
    18页
    查看更多>>摘要:The connectivity of stock markets reflects the information efficiency of capital markets and contributes to interior risk contagion and spillover effects. We compare Shanghai Stock Exchange A-shares (SSE A-shares) during tranquil periods, with high leverage periods associated with the 2015 subprime mortgage crisis. We use Pearson correlations of returns, the maximum strongly connected subgraph, and 3 sigma - principle to iteratively determine the threshold value for building a dynamic correlation network of SSE A-shares. Analyses are carried out based on the networking structure, intra-sector connectivity, and node status, identifying several contributions. First, compared with tranquil periods, the SSE A-shares network experiences a more significant small-world and connective effect during the subprime mortgage crisis and the high leverage period in 2015. Second, the finance, energy and utilities sectors have a stronger intra-industry connectivity than other sectors. Third, HUB nodes drive the growth of the SSE A-shares market during bull periods, while stocks have a think-tail degree distribution in bear periods and show distinct characteristics in terms of market value and finance. Granger linear and non-linear causality networks are also considered for the comparison purpose. Studies on the evolution of inter-cycle connectivity in the SSE A-share market may help investors improve portfolios and develop more robust risk management policies. (C) 2021 Elsevier B.V. All rights reserved.

    Chain reaction of traffic breakdowns in coupled-cycle networks

    Nagatani, Takashi
    11页
    查看更多>>摘要:We present a dynamic model for major traffic jams in urban-scale networks. We investigate the traffic breakdown in the directed network consisted of cycle graphs when an intersection is closed to vehicles. We show how the traffic breakdown propagates from cycle graph to cycle graph. The deadlock (jam) of vehicles is induced by the closed intersection, a local breakdown occurs at an early stage, and the breakdown propagates toward the whole network. The macroscopic dynamic equations of vehicular densities are derived by using the speed-matching model. The densities and currents (flows) on all roads are obtained numerically. We show that the chain reaction of traffic breakdowns occurs when a density is higher than a critical value, while it does not propagate over the network at lower density than the critical value. The chain reaction of traffic breakdowns induces the major traffic jam. The jamming transition between free traffic and major traffic jam is found in the traffic network. (C) 2021 Elsevier B.V. All rights reserved.

    Factors affecting congestion-aware routing in complex networks

    Echague, JuanCholvi, VicentFernandez, Antonio
    8页
    查看更多>>摘要:An important issue in complex networks is to find efficient strategies for information delivery between a given sending node and its destination host. Whereas there is no doubt that the use of the congestion provides significant advantages for routing, it has been observed that there are some factors that greatly influence the behavior of the routing protocols that use it. In this paper we study the effect of two factors that greatly influence the behavior of congestion-aware routing protocols: updating all the paths at the same time and using information from a subset of the nodes to compute the paths. On one hand, we give explanations to these behaviors and, on the other hand, we quantitatively evaluate the effect of these factors on the performance of the routing protocols. (C) 2021 Elsevier B.V. All rights reserved.

    Comment on the paper by R. Maniar and A. Bhattacharyay, [Random walk model for coordinate-dependent diffusion in a force field, Physica A 584 (2021)126348]

    Vezzani, Alessandro
    4页
    查看更多>>摘要:Paper (Maniar and Bhattacharyay, 2021) introduces a discrete random-walk (RW) model with a site dependent waiting time and an external force i.e. a site dependent drift. The RW is compared with a Smoluchowski equation in continuous space and time with space dependent diffusivity and space dependent damping. Using numerical simulations in Maniar and Bhattacharyay (2021) it is shown that the equilibrium distribution satisfies locally the Stokes-Einstein relation i.e. there is a constant temperature in the whole system. Here we show that the result can be recovered analytically with a continuous limit in the RW master equation. Moreover, we evidence that the RW model should be carefully defined in order to satisfy locally Stokes-Einstein relation, indeed a different definition of the discrete RW process describes a system that satisfies the Smoluchowski equation with constant damping, where the temperature is not uniform. (C) 2021 Elsevier B.V. All rights reserved.

    On the role of structured initial conditions in the Schelling model

    Gaudiano, Marcos E.Revelli, Jorge A.
    16页
    查看更多>>摘要:Despite the ubiquity of hierarchical structures found in every complex system, random initial conditions are preestablished in several Sociophysics models. In this work, we show the remarkable differences between both assumptions applied to the case of the renowned segregation Schelling model for minorities. It is found that, under a simple quasi non parametric Schelling model with structured initial conditions, the segregation phenomenon shows a local or short-range behavior, developing at the borders of the minority-majority agent pattern and leaving the macroscopic agent structure mostly unaltered. Besides, it is found that the highest uncontrollability regime pointed out in a previous article, perfectly corresponds to where system segregation blows up. (C) 2021 Elsevier B.V. All rights reserved.