Physica A: Statistical Mechanics and its Applications最新文献

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Impact of heterogeneity on risk propagation in supply chain networks 异质性对供应链网络风险传播的影响
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-10-01 DOI: 10.1016/j.physa.2025.131021
Kaiyuan Liu , Yongxiang Xia , Chengyi Xia , Haicheng Tu
{"title":"Impact of heterogeneity on risk propagation in supply chain networks","authors":"Kaiyuan Liu ,&nbsp;Yongxiang Xia ,&nbsp;Chengyi Xia ,&nbsp;Haicheng Tu","doi":"10.1016/j.physa.2025.131021","DOIUrl":"10.1016/j.physa.2025.131021","url":null,"abstract":"<div><div>In the highly interconnected global economy, risk propagation in supply chain networks has garnered significant attention due to its profound impact. Based on complex network theory, this paper proposes a Degree-Dependent Heterogeneous Risk Propagation (DDHRP) model, in which risk is represented as a binary state within a susceptible–infected–susceptible (SIS) framework: a firm is either infected or susceptible. By use of mean-field equations, we derive the risk propagation threshold and the infection probability under varying basic propagation rates <span><math><msub><mrow><mi>λ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, and analyze how different heterogeneity parameters affect the distribution of infection probability across degrees of nodes. Experimental simulations show that the monotonicity of a node’s infection probability with respect to node degree can be controlled by adjusting model parameters. Moreover, increasing heterogeneity in risk transmission reduces the average infection prevalence across nodes, whereas greater heterogeneity in risk recovery increases it. Our research not only offers a heterogeneous risk propagation model adapted for supply chain networks, but also provides a theoretical foundation for risk early warning and control.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 131021"},"PeriodicalIF":3.1,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Enhancing ergotropy of quantum batteries through coherence and non-Markovianity 通过相干性和非马尔可夫性增强量子电池的自恋性
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-10-01 DOI: 10.1016/j.physa.2025.131003
A. Oularabi, A. El Allati, K. El Anouz
{"title":"Enhancing ergotropy of quantum batteries through coherence and non-Markovianity","authors":"A. Oularabi,&nbsp;A. El Allati,&nbsp;K. El Anouz","doi":"10.1016/j.physa.2025.131003","DOIUrl":"10.1016/j.physa.2025.131003","url":null,"abstract":"<div><div>In this paper, we propose a model to examine the charging process of an open quantum battery, without using an external source, within the framework of the decoherence induced by the thermal environment. It consists of considering an open quantum battery that interacts with its environment through an auxiliary two-level quantum charger. This study focuses on a feasible charging device, where we investigate the exchange of information, work extraction and its maximum quantity, namely ergotropy from the quantum battery to its surroundings. Our results demonstrate that the ergotropy and internal energy are basically enhanced in the non-Markovian regime more than the Markovian one, including coherence and its time-derivative on the battery’s dynamics.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 131003"},"PeriodicalIF":3.1,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Covid-19 pandemic and main comorbidities in Mexican population a complex network approach Covid-19大流行和墨西哥人群的主要合并症:复杂网络方法
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-09-30 DOI: 10.1016/j.physa.2025.131015
J.J. Esquivel-Gómez, J.G. Barajas-Ramírez
{"title":"Covid-19 pandemic and main comorbidities in Mexican population a complex network approach","authors":"J.J. Esquivel-Gómez,&nbsp;J.G. Barajas-Ramírez","doi":"10.1016/j.physa.2025.131015","DOIUrl":"10.1016/j.physa.2025.131015","url":null,"abstract":"<div><div>Quarantine and vaccination policies are among the most effective mechanisms used to mitigate the spread of infectious diseases. Numerous epidemic models are proposed in the literature. However, in order to produce more realistic scenarios regarding the transmission and infection processes, epidemic models should take into account the interaction among the individuals in combination with specific characteristics like age and health. In this sense, we propose a <span><math><mrow><mi>S</mi><mi>V</mi><mi>I</mi><mi>Q</mi><mi>R</mi><mi>S</mi></mrow></math></span> epidemic model that implements particular characteristics from the Mexican population, like the age distribution and the percentage of people suffering from a chronic illness like high blood pressure, obesity, and diabetes. Our model is capable of reproducing some available statistics from the last Covid-19 pandemic in México, simulating the disease spread in a complex network with degree distribution <span><math><mrow><mi>P</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow><mo>∼</mo><msup><mrow><mi>k</mi></mrow><mrow><mo>−</mo><mn>2</mn><mo>.</mo><mn>5</mn></mrow></msup></mrow></math></span>. In particular, it reproduces closely the distributions of Covid-19 infected individuals and infected individuals who also suffer from diabetes. Additionally, our model indicates through stochastic simulations that the isolation and vaccination of people suffering chronic diseases is an appropriate strategy to prevent the increase in infected individuals and avoid the overloading of health systems. Following this approach, the number of infected individuals grows slowly, preventing the overloading of health systems.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 131015"},"PeriodicalIF":3.1,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Do G7 and BRICS differ in growth–emission nexus? A multifractal and wavelet approach 七国集团和金砖国家在增长-排放关系上有何不同?多重分形和小波分析方法
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-09-30 DOI: 10.1016/j.physa.2025.131014
Zhongjie Zhang , Zijian Feng , Lei Shi , Yi-Cheng Zhang
{"title":"Do G7 and BRICS differ in growth–emission nexus? A multifractal and wavelet approach","authors":"Zhongjie Zhang ,&nbsp;Zijian Feng ,&nbsp;Lei Shi ,&nbsp;Yi-Cheng Zhang","doi":"10.1016/j.physa.2025.131014","DOIUrl":"10.1016/j.physa.2025.131014","url":null,"abstract":"<div><div>This study examines the scale-dependent coupling between economic growth and CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> emissions in the G7 and the BRICS, two major economic blocs and key emitters, by integrating multifractal detrended cross-correlation analysis (MF-DCCA) and wavelet coherence. We analyze annual per capita GDP and CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> series from 1950 to 2022 to determine whether these countries exhibit distinct multiscale dependencies. MF-DCCA results show that most G7 economies exhibit nonlinear, intrinsic multifractality, while the BRICS countries display greater heterogeneity. India, China, and Brazil show clear signs of intrinsic multifractality, whereas Russia and South Africa exhibit no such evidence.Wavelet coherence further reveals that in the G7, economic growth typically leads CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> emissions at business-cycle scales. Among the BRICS, Brazil, Russia, and China exhibit robust coherence at short- and mid-term scales, while India and South Africa remain weakly linked. An event–window comparison of the 1973 Oil Crisis and the 2008 Financial Crisis highlights the starkly contrasting responses of G7 and BRICS countries to these shocks. These findings enhance our understanding of multiscale growth–emission nexus and suggest that the G7 should adopt stable, long-term strategies while the BRICS require agile, scale-aware interventions to meet climate and sustainability challenges.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 131014"},"PeriodicalIF":3.1,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Social contagion models on adaptive simplicial complexes 适应性简单复合体的社会传染模型
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-09-30 DOI: 10.1016/j.physa.2025.131010
Ziting Luo , Shuai Li , Zheng Jiang , Wei Chen
{"title":"Social contagion models on adaptive simplicial complexes","authors":"Ziting Luo ,&nbsp;Shuai Li ,&nbsp;Zheng Jiang ,&nbsp;Wei Chen","doi":"10.1016/j.physa.2025.131010","DOIUrl":"10.1016/j.physa.2025.131010","url":null,"abstract":"<div><div>Complex networks, composed of nodes and edges connecting them, are successful in modeling various social contagion phenomena, such as epidemic spreading or rumor diffusion in population. Recently, there is extensive interest in studying higher-order interactions which uncover the complex mechanisms of influence and reinforcement in social contagion. Yet, existing models are primarily within the framework of static networks. Here we investigate the susceptible–infected–susceptible model on adaptive simplicial complexes, in which the networks exhibiting high-order structure can change their connectivity with time depending on their dynamical state. By applying mean-field equations, we derive an implicit analytical expression of the invasion threshold in adaptive simplicial complexes, but explicit expressions of the invasion threshold in three prototypical adaptive networks. We further analyze the effects of the transmission rate, the rewiring rate and higher-order interactions on epidemic prevalence and the invasion threshold. Our model can lead to collective phenomena including first-order phase transition, bistability, and hysteresis loops. Our study paves the way to predict and control a wide variety of social contagion processes on networks.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 131010"},"PeriodicalIF":3.1,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A novel memristive Hopfield neural network with grid attractor and its application in image encryption 一种具有网格吸引子的记忆Hopfield神经网络及其在图像加密中的应用
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-09-29 DOI: 10.1016/j.physa.2025.131005
Anna Guo, Chunlei Fan
{"title":"A novel memristive Hopfield neural network with grid attractor and its application in image encryption","authors":"Anna Guo,&nbsp;Chunlei Fan","doi":"10.1016/j.physa.2025.131005","DOIUrl":"10.1016/j.physa.2025.131005","url":null,"abstract":"<div><div>As a nonlinear resistor with memory characteristics, the memristor can simulate synaptic behavior in neural networks. Building upon the Hopfield neural network (HNN), this paper proposes a novel memristive HNN model by utilizing memristors to realize neuron self-synaptic connections. By adjusting the parameters of the memristor, chaotic attractors can be generated with different numbers and complex structures. The analysis of equilibrium points and stability elucidates the mechanism behind the emergence of multi-structure chaotic attractors. The dynamical characteristics are investigated through the Lyapunov exponent spectrum, bifurcation diagrams, time series, and basin of attraction. Based on the complex dynamics of the memristive HNN, we design a color image encryption scheme combining oblique diffusion and cross-channel Hilbert scanning. Oblique diffusion effectively achieves global propagation of pixel-level perturbations, while cross-channel Hilbert scanning breaks the pixel correlation within individual channels while enhancing inter-channel dependencies. Experimental results demonstrate that the algorithm exhibits extremely high key sensitivity and strong robustness, effectively resisting common attacks such as statistical analysis and differential attacks.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 131005"},"PeriodicalIF":3.1,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic strategy update mechanisms facilitate cooperation 动态战略更新机制促进合作
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-09-28 DOI: 10.1016/j.physa.2025.131016
Bingyang Bai , Yumiao Zhao , Qiuhui Pan , Mingfeng He
{"title":"Dynamic strategy update mechanisms facilitate cooperation","authors":"Bingyang Bai ,&nbsp;Yumiao Zhao ,&nbsp;Qiuhui Pan ,&nbsp;Mingfeng He","doi":"10.1016/j.physa.2025.131016","DOIUrl":"10.1016/j.physa.2025.131016","url":null,"abstract":"<div><div>In offshore aquaculture, fishermen determine their farming methods based on either their own and their neighbors' previous payoff information or their personal historical payoff data. The available farming methods include environmentally friendly practices and environmentally damaging practices. Typically, they decide which information to use for updating their farming strategies based on whether their current payoff meets a satisfactory value. This study employs a social dilemma game model to investigate this issue, where the two farming methods correspond to cooperative and defecting strategies, respectively. The utilization of payoff information reflects different strategy update mechanisms, and it is assumed that individuals decide whether to retain or switch their update mechanisms based on whether their payoff meets the satisfaction value. The results indicate that dynamic changes in strategy update mechanisms can effectively promote cooperation, favoring the adoption of environmentally friendly farming practices. Moreover, when the satisfaction value is either relatively low or high, more individuals tend to adopt such sustainable farming methods.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 131016"},"PeriodicalIF":3.1,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dual-Encoder Physics-Informed Variational Autoencoders for robust forward and inverse SDE solving under noisy measurements 双编码器物理信息变分自编码器在噪声测量下的鲁棒正向和逆SDE求解
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-09-28 DOI: 10.1016/j.physa.2025.131008
Lin Wang, Min Yang
{"title":"Dual-Encoder Physics-Informed Variational Autoencoders for robust forward and inverse SDE solving under noisy measurements","authors":"Lin Wang,&nbsp;Min Yang","doi":"10.1016/j.physa.2025.131008","DOIUrl":"10.1016/j.physa.2025.131008","url":null,"abstract":"<div><div>Real-world measurements for stochastic differential equations (SDEs) are often corrupted by heterogeneous or high-intensity noise, which poses significant challenges for deep learning-based solvers. In this study, we propose a Dual-Encoder Physics-Informed Variational AutoEncoder (DE-PIVAE) framework that explicitly disentangles latent noise from physical variables. Unlike previous single-encoder PI-VAE approaches, our model employs one encoder to learn the underlying clean physical signal and an additional noise encoder to capture the statistical properties of measurement noise from limited sensor data. The framework incorporates physical constraints into end-to-end training and enables more accurate reconstruction of the true system states under noisy observations. We consider a broad spectrum of noisy scenarios, including different noise types, varying noise intensities, partial sensor corruption, and noise distribution misspecification. Experimental results show that DE-PIVAE achieves superior performance compared to baseline solvers, with its advantage becoming more pronounced under higher noise.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 131008"},"PeriodicalIF":3.1,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two types of Brownian yet non-Gaussian diffusion in the quenched disordered environment 猝灭无序环境中的两种布朗非高斯扩散
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-09-27 DOI: 10.1016/j.physa.2025.131007
X. Luo , X.J. Dai , Y.P. Li , W.Y. Fan , M. Hu , C.Y. Wang
{"title":"Two types of Brownian yet non-Gaussian diffusion in the quenched disordered environment","authors":"X. Luo ,&nbsp;X.J. Dai ,&nbsp;Y.P. Li ,&nbsp;W.Y. Fan ,&nbsp;M. Hu ,&nbsp;C.Y. Wang","doi":"10.1016/j.physa.2025.131007","DOIUrl":"10.1016/j.physa.2025.131007","url":null,"abstract":"<div><div>Anomalous diffusion has been widely observed in quenched disordered environments such as living cells, and has attracted wide attention. Within the framework of the space–time correlated continuous-time random walk (CTRW), this manuscript studies two types of Brownian yet non-Gaussian diffusion. One is that when the waiting time density satisfies the weak asymptotic form <span><math><mrow><mi>ω</mi><mrow><mo>(</mo><mi>τ</mi><mo>)</mo></mrow><mo>∼</mo><msup><mrow><mi>τ</mi></mrow><mrow><mo>−</mo><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>σ</mi><mo>)</mo></mrow></mrow></msup></mrow></math></span> with <span><math><mrow><mn>1</mn><mo>&lt;</mo><mi>σ</mi><mo>&lt;</mo><mn>2</mn></mrow></math></span>, its mean-squared displacement (MSD) exhibits a crossover phenomenon during the evolution process and eventually increases linearly with time at large timescales, while its probability density function (PDF) shows a sharp shape. The other is that when the time density follows an exponential distribution <span><math><mrow><mi>ω</mi><mrow><mo>(</mo><mi>τ</mi><mo>)</mo></mrow><mo>∼</mo><mo>exp</mo><mrow><mo>(</mo><mo>−</mo><mi>τ</mi><mo>)</mo></mrow></mrow></math></span>, its MSD always increases linearly with time, yet its PDF exhibits a generalized exponential shape and crosses over to a standard Gaussian distribution at large timescales. The diffusive behaviors are analyzed and discussed by calculating the MSD and PDF. The results reveal that the anomalous diffusion of the former is due to the weak asymptotic property of <span><math><mrow><mi>ω</mi><mrow><mo>(</mo><mi>τ</mi><mo>)</mo></mrow></mrow></math></span> while the latter is due to the nonergodicity of particles in the quenched disordered environment at the initial moment. The model explains the random motions in complex inhomogeneous environments and reproduces different observational results in biological and physical systems.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 131007"},"PeriodicalIF":3.1,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Diving deep into area occupancy based continuum models for multi-class traffic: Stability of speed and density gradient formulations 深入探讨基于区域占用率的多级交通连续模型:速度和密度梯度公式的稳定性
IF 3.1 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-09-27 DOI: 10.1016/j.physa.2025.130969
Ranju Mohan , Shashvat Tripathi
{"title":"Diving deep into area occupancy based continuum models for multi-class traffic: Stability of speed and density gradient formulations","authors":"Ranju Mohan ,&nbsp;Shashvat Tripathi","doi":"10.1016/j.physa.2025.130969","DOIUrl":"10.1016/j.physa.2025.130969","url":null,"abstract":"<div><div>The paper analyses and compare the stability conditions of speed and density gradient formulations of multi-class traffic flow when using area occupancy (<span><math><mrow><mi>A</mi><mi>O</mi></mrow></math></span>) as the traffic concentration measure. In a second-order continuum model of traffic flow, driver’s anticipation to traffic ahead is expressed in terms of speed and density gradient, and stability conditions are analysed based on the eigenvalues from the system of equations in both the formulations. Eigenvalues, which are characteristics speeds of traffic flow, are checked against the Banach contraction principle and the Hyers–Ulam Stability concept to check model’s oscillatory nature and to understand how well a perturbed system solution remains close to that of an unperturbed system. Anticipation terms in both formulations are overviewed to interpret stability in possible practical scenarios in traffic. Linear stability conditions are checked case by case defined based on interactions among vehicle classes. Non-linear stability conditions for the formulations are derived through wavefront expansion techniques. Further, results from numerical simulations on a hypothetical road section in various congestion scenarios show that the vehicle speeds are non-negative always in both the formulations, and characteristics speeds are real, indicating hyperbolicity of the model’s equation systems. Anisotropic behaviour of traffic is well captured in speed gradient formulation; however, characteristics speeds higher than the vehicle speeds are frequently observed in density gradient formulation. This study addresses a fundamental question: whether the classic isotropic (density gradient) or anisotropic (speed gradient) modelling approach is more physically realistic for complex, non-lane-based traffic where traditional density measure under performs. The paper is an in-depth analysis of both formulations, not only from a stability perspective, but also shares insights on the choice of <span><math><mrow><mi>A</mi><mi>O</mi></mrow></math></span> as traffic concentration measure while multi-class traffic modelling.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"679 ","pages":"Article 130969"},"PeriodicalIF":3.1,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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