Pub Date : 2025-02-10DOI: 10.1016/j.physa.2025.130416
Na Zhao , Carlo R. Laing , Jian Song , Shenquan Liu
Stochastic resetting has shown promise in enhancing the stability and control of activity in various dynamical systems. In this study, we extend this framework to the theta neuron network by exploring the effects of partial resetting, where only a fraction of neurons is intermittently reset. Specifically, we analyze both infinite and finite reset rates, using the averaged firing rate as an indicator of network activity stability. For an infinite reset rate, a high proportion of resetting neurons drives the network to stable resting or spiking states. This process collapses the bistable region at the Cusp bifurcation, resulting in smooth and predictable transitions. In contrast, finite resetting introduces stochastic fluctuations, leading to more complex dynamics that occasionally deviate from theoretical predictions. These insights highlight the role of partial resetting in stabilizing neural dynamics and provide a foundation for potential applications in biological systems and neuromorphic computing.
{"title":"Subsystem resetting of a heterogeneous network of theta neurons","authors":"Na Zhao , Carlo R. Laing , Jian Song , Shenquan Liu","doi":"10.1016/j.physa.2025.130416","DOIUrl":"10.1016/j.physa.2025.130416","url":null,"abstract":"<div><div>Stochastic resetting has shown promise in enhancing the stability and control of activity in various dynamical systems. In this study, we extend this framework to the theta neuron network by exploring the effects of partial resetting, where only a fraction of neurons is intermittently reset. Specifically, we analyze both infinite and finite reset rates, using the averaged firing rate as an indicator of network activity stability. For an infinite reset rate, a high proportion of resetting neurons drives the network to stable resting or spiking states. This process collapses the bistable region at the Cusp bifurcation, resulting in smooth and predictable transitions. In contrast, finite resetting introduces stochastic fluctuations, leading to more complex dynamics that occasionally deviate from theoretical predictions. These insights highlight the role of partial resetting in stabilizing neural dynamics and provide a foundation for potential applications in biological systems and neuromorphic computing.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"662 ","pages":"Article 130416"},"PeriodicalIF":2.8,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143395084","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}
Pub Date : 2025-02-10DOI: 10.1016/j.physa.2025.130425
Jiefeng Zhou , Zhen Li , Kang Hao Cheong , Yong Deng
The Random Permutation Set (RPS) is a recently proposed new type of set, which can be regarded as the generalization of evidence theory. To measure the uncertainty of RPS, the entropy of RPS and its corresponding maximum entropy have been proposed. Exploring the maximum entropy provides a possible way to understand the physical meaning of RPS. In this paper, a new concept, the envelope of entropy function, is defined. In addition, the limit of the envelope of RPS entropy is derived and proven. Compared with the existing method, the computational complexity of the proposed method to calculate the envelope of RPS entropy decreases greatly. The result shows that when the cardinality of a RPS (marked as N) approaches to infinity, the limit form of the envelope of the entropy of RPS converges to , which is highly connected to the constant and factorial. Finally, numerical examples validate the efficiency and conciseness of the proposed envelope, which provides new insights into the maximum entropy function.
{"title":"Limit of the maximum random permutation set entropy","authors":"Jiefeng Zhou , Zhen Li , Kang Hao Cheong , Yong Deng","doi":"10.1016/j.physa.2025.130425","DOIUrl":"10.1016/j.physa.2025.130425","url":null,"abstract":"<div><div>The Random Permutation Set (RPS) is a recently proposed new type of set, which can be regarded as the generalization of evidence theory. To measure the uncertainty of RPS, the entropy of RPS and its corresponding maximum entropy have been proposed. Exploring the maximum entropy provides a possible way to understand the physical meaning of RPS. In this paper, a new concept, the <em>envelope</em> of entropy function, is defined. In addition, the limit of the <em>envelope</em> of RPS entropy is derived and proven. Compared with the existing method, the computational complexity of the proposed method to calculate the <em>envelope</em> of RPS entropy decreases greatly. The result shows that when the cardinality of a RPS (marked as N) approaches to infinity, the limit form of the <em>envelope</em> of the entropy of RPS converges to <span><math><mrow><mi>e</mi><mi>⋅</mi><msup><mrow><mrow><mo>(</mo><mtext>N!</mtext><mo>)</mo></mrow></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span>, which is highly connected to the constant <span><math><mi>e</mi></math></span> and factorial. Finally, numerical examples validate the efficiency and conciseness of the proposed <em>envelope</em>, which provides new insights into the maximum entropy function.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"664 ","pages":"Article 130425"},"PeriodicalIF":2.8,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143471551","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}
Pub Date : 2025-02-08DOI: 10.1016/j.physa.2025.130424
Zixuan Liu , Jonathan Lawry , Michael Crosscombe
In social learning, agents learn not only from direct evidence but also through interactions with their peers. We investigate the role of imprecision in such interactions and ask whether it can improve the effectiveness of the collective learning process. To that end we propose a model of social learning where beliefs are equivalent to formulas in a propositional language, and where agents learn from each other by combining their beliefs according to a fusion operator. The latter is parameterised so as to allow for different levels of imprecision, where a more imprecise fusion operator tends to generate a more imprecise fused belief when the two combined beliefs differ. In this context we describe both difference equation models and agent-based simulations of social learning under a variety of conditions and with different initial biases. The results presented suggest that for populations with a strong initial bias towards incorrect beliefs some level of imprecision in fusion can improve learning accuracy across a range of learning conditions. Furthermore, such benefits of imprecision are consistent with a stability analysis of the fixed points of the proposed difference equation models.
{"title":"Imprecise belief fusion improves multi-agent social learning","authors":"Zixuan Liu , Jonathan Lawry , Michael Crosscombe","doi":"10.1016/j.physa.2025.130424","DOIUrl":"10.1016/j.physa.2025.130424","url":null,"abstract":"<div><div>In social learning, agents learn not only from direct evidence but also through interactions with their peers. We investigate the role of imprecision in such interactions and ask whether it can improve the effectiveness of the collective learning process. To that end we propose a model of social learning where beliefs are equivalent to formulas in a propositional language, and where agents learn from each other by combining their beliefs according to a fusion operator. The latter is parameterised so as to allow for different levels of imprecision, where a more imprecise fusion operator tends to generate a more imprecise fused belief when the two combined beliefs differ. In this context we describe both difference equation models and agent-based simulations of social learning under a variety of conditions and with different initial biases. The results presented suggest that for populations with a strong initial bias towards incorrect beliefs some level of imprecision in fusion can improve learning accuracy across a range of learning conditions. Furthermore, such benefits of imprecision are consistent with a stability analysis of the fixed points of the proposed difference equation models.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"664 ","pages":"Article 130424"},"PeriodicalIF":2.8,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143529415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-07DOI: 10.1016/j.physa.2025.130423
Zhizhen Zhang , Changhong Lu
To study the phase transition phenomenon in traffic flow, we propose a discrete Boltzmann model that integrates Boltzmann dynamics with the Cellular Automata framework. This approach combines the theoretical power of the Boltzmann equation with the computational simplicity of Cellular Automata. By examining traffic flows at mesoscopic scales, the model captures the dynamical behavior of traffic in phase space and provides insights into the mechanisms driving phase transitions.
The model can also be interpreted as dynamics on a graph. Numerical simulations, conducted under the assumption of a uniform or heterogeneous vehicle density distribution, yield results that align well with observed empirical phenomena. The model allows for the analysis of various parameters influencing traffic flow and serves as a robust tool for studying the global properties of systems governed by complex motion dynamics.
{"title":"Traffic flow phase transition phenomena based on the kinetic approach","authors":"Zhizhen Zhang , Changhong Lu","doi":"10.1016/j.physa.2025.130423","DOIUrl":"10.1016/j.physa.2025.130423","url":null,"abstract":"<div><div>To study the phase transition phenomenon in traffic flow, we propose a discrete Boltzmann model that integrates Boltzmann dynamics with the Cellular Automata framework. This approach combines the theoretical power of the Boltzmann equation with the computational simplicity of Cellular Automata. By examining traffic flows at mesoscopic scales, the model captures the dynamical behavior of traffic in phase space and provides insights into the mechanisms driving phase transitions.</div><div>The model can also be interpreted as dynamics on a graph. Numerical simulations, conducted under the assumption of a uniform or heterogeneous vehicle density distribution, yield results that align well with observed empirical phenomena. The model allows for the analysis of various parameters influencing traffic flow and serves as a robust tool for studying the global properties of systems governed by complex motion dynamics.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"662 ","pages":"Article 130423"},"PeriodicalIF":2.8,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143378142","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}
Pub Date : 2025-02-06DOI: 10.1016/j.physa.2025.130415
Zhiwen Ren , Dingding Han
Epilepsy is characterized by complex, multi-scale disruptions in brain connectivity, yet most EEG-based network analyses focus on specific frequency bands or time scales, overlooking crucial cross-scale interactions. In this study, we propose a novel multi-scale information fusion (MSIF) framework that integrates connectivity across multiple frequency bands, temporal windows, and construction methods into a single, fused brain network. By employing Particle Swarm Optimization (PSO), our approach adaptively weights each component to maximize seizure–non-seizure discriminability while preserving stability in non-seizure phases. We validated the MSIF framework using two publicly available EEG datasets (CHB-MIT and Siena) and compared its performance against conventional methods. Our results demonstrate that the MSIF framework outperforms single-scale methods, achieving higher Comprehensive Sensitivity Scores (CSS) and more pronounced separation of seizure vs. non-seizure states. Compared to single-scale methods, the multi-scale fusion significantly enhances sensitivity to seizure-induced network reconfigurations, as evidenced by marked alterations in network metrics (e.g., global efficiency, clustering coefficient) during the seizure phase and a clear return toward baseline in post-seizure segments. These findings underscore the potential of multi-scale fusion to provide richer insights into epileptic network behavior and support more accurate seizure detection and monitoring. The proposed framework paves the way for network-based biomarkers in clinical settings, offering a scalable approach adaptable to diverse electrode configurations and patient populations.
{"title":"A multi-scale information fusion approach for brain network construction in epileptic EEG analysis","authors":"Zhiwen Ren , Dingding Han","doi":"10.1016/j.physa.2025.130415","DOIUrl":"10.1016/j.physa.2025.130415","url":null,"abstract":"<div><div>Epilepsy is characterized by complex, multi-scale disruptions in brain connectivity, yet most EEG-based network analyses focus on specific frequency bands or time scales, overlooking crucial cross-scale interactions. In this study, we propose a novel multi-scale information fusion (MSIF) framework that integrates connectivity across multiple frequency bands, temporal windows, and construction methods into a single, fused brain network. By employing Particle Swarm Optimization (PSO), our approach adaptively weights each component to maximize seizure–non-seizure discriminability while preserving stability in non-seizure phases. We validated the MSIF framework using two publicly available EEG datasets (CHB-MIT and Siena) and compared its performance against conventional methods. Our results demonstrate that the MSIF framework outperforms single-scale methods, achieving higher Comprehensive Sensitivity Scores (CSS) and more pronounced separation of seizure vs. non-seizure states. Compared to single-scale methods, the multi-scale fusion significantly enhances sensitivity to seizure-induced network reconfigurations, as evidenced by marked alterations in network metrics (e.g., global efficiency, clustering coefficient) during the seizure phase and a clear return toward baseline in post-seizure segments. These findings underscore the potential of multi-scale fusion to provide richer insights into epileptic network behavior and support more accurate seizure detection and monitoring. The proposed framework paves the way for network-based biomarkers in clinical settings, offering a scalable approach adaptable to diverse electrode configurations and patient populations.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130415"},"PeriodicalIF":2.8,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143348349","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}
Pub Date : 2025-02-06DOI: 10.1016/j.physa.2025.130418
Jian Zhang , Yan-Zhenni Bai , Jia He , Tao Wang
Dedicated lane (DL) for connected and autonomous vehicles (CAVs) is a potential solution to manage mixed traffic flow of CAVs and human-driven vehicles (HVs) in the near future. In this paper, we propose a modified cell transmission model (CTM) to evaluate the performance and efficacy of CAV DLs under different scenarios in mixed traffic environments. We integrate the mixed traffic flow fundamental diagram and logit model to calculate through and lane-change flow. The model specifically considers the capacity drop phenomena and driving rules on DLs. Numerical experiments are conducted on a three-lane circular road to analyze the impacts of number, length, and position of DLs under varying CAV penetration rates and traffic demands on the mixed traffic flow. The experimental results suggest that the greatest benefits are achieved when DLs are implemented under conditions of high traffic demand and low CAV penetration rates. The effectiveness of setting different numbers of DLs varies under different demand levels and penetration rates. In scenarios where lanes have different speed limits, adjusting the horizontal position of the DLs yields more significant effects; setting DLs sequentially from the edge and in adjacent lanes — whether on high-speed or low-speed lanes — is an effective choice. Subsequently, based on the overall utility of the road segment, the conditions for implementing partial DLs are further analyzed. The findings provide insights for maximizing the advantages of CAVs, enhancing the orderliness and stability of mixed traffic flow, and offer a theoretical basis for future CAV DL deployment and traffic management.
{"title":"On the impacts of dedicated lanes for CAVs in mixed traffic: Evaluation using a modified cell transmission model","authors":"Jian Zhang , Yan-Zhenni Bai , Jia He , Tao Wang","doi":"10.1016/j.physa.2025.130418","DOIUrl":"10.1016/j.physa.2025.130418","url":null,"abstract":"<div><div>Dedicated lane (DL) for connected and autonomous vehicles (CAVs) is a potential solution to manage mixed traffic flow of CAVs and human-driven vehicles (HVs) in the near future. In this paper, we propose a modified cell transmission model (CTM) to evaluate the performance and efficacy of CAV DLs under different scenarios in mixed traffic environments. We integrate the mixed traffic flow fundamental diagram and logit model to calculate through and lane-change flow. The model specifically considers the capacity drop phenomena and driving rules on DLs. Numerical experiments are conducted on a three-lane circular road to analyze the impacts of number, length, and position of DLs under varying CAV penetration rates and traffic demands on the mixed traffic flow. The experimental results suggest that the greatest benefits are achieved when DLs are implemented under conditions of high traffic demand and low CAV penetration rates. The effectiveness of setting different numbers of DLs varies under different demand levels and penetration rates. In scenarios where lanes have different speed limits, adjusting the horizontal position of the DLs yields more significant effects; setting DLs sequentially from the edge and in adjacent lanes — whether on high-speed or low-speed lanes — is an effective choice. Subsequently, based on the overall utility of the road segment, the conditions for implementing partial DLs are further analyzed. The findings provide insights for maximizing the advantages of CAVs, enhancing the orderliness and stability of mixed traffic flow, and offer a theoretical basis for future CAV DL deployment and traffic management.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"662 ","pages":"Article 130418"},"PeriodicalIF":2.8,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143376736","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}
A public goods game (PGG) is a classical evolutionary dynamic model frequently used to explore group interaction and is widely used to explain the emergence and maintenance of cooperation among selfish individuals. This work attempts to study the dynamics of cooperation in a multiplayer PGG that is based on the Wright-Fisher process (WFP). Firstly, a general game -- multiplayer with two-strategy model based on the WFP -- is established to solve the fixation probability of the strategy and to give its natural properties. Then, the multiplayer PGG model with cooperation and defection strategies, based on the WFP, is established, and the fixation probabilities of strategies are solved. In addition, the natural properties of fixation probability are obtained, and the effect of game parameters on the evolution dynamics of cooperation strategy is received. The results show that a turning point of the return coefficient does exist. When the interest factor is greater than the turning point, the cooperative strategy is more likely to occupy the entire population and is an evolutionarily stable strategy (ESSN); the fixation probability of the cooperative strategy also increases in line with the increases in cost and choice intensity. Moreover, the fixation probability of the cooperative strategy increases in line with the increase in the interest factor, and decreases in line with the increase in the number of individuals playing the game and population size. The research in this paper will provide more insights into the evolution of cooperation in a multiplayer PGG.
{"title":"Evolutionary dynamics of multiplayer public goods game with the Wright-Fisher process","authors":"Cuiling Gu , Wenhao Gao , Xianjia Wang , Rui Ding , Jinhua Zhao","doi":"10.1016/j.physa.2025.130428","DOIUrl":"10.1016/j.physa.2025.130428","url":null,"abstract":"<div><div>A public goods game (PGG) is a classical evolutionary dynamic model frequently used to explore group interaction and is widely used to explain the emergence and maintenance of cooperation among selfish individuals. This work attempts to study the dynamics of cooperation in a multiplayer PGG that is based on the Wright-Fisher process (WFP). Firstly, a general game -- multiplayer with two-strategy model based on the WFP -- is established to solve the fixation probability of the strategy and to give its natural properties. Then, the multiplayer PGG model with cooperation and defection strategies, based on the WFP, is established, and the fixation probabilities of strategies are solved. In addition, the natural properties of fixation probability are obtained, and the effect of game parameters on the evolution dynamics of cooperation strategy is received. The results show that a turning point of the return coefficient does exist. When the interest factor is greater than the turning point, the cooperative strategy is more likely to occupy the entire population and is an evolutionarily stable strategy (ESS<sub>N</sub>); the fixation probability of the cooperative strategy also increases in line with the increases in cost and choice intensity. Moreover, the fixation probability of the cooperative strategy increases in line with the increase in the interest factor, and decreases in line with the increase in the number of individuals playing the game and population size. The research in this paper will provide more insights into the evolution of cooperation in a multiplayer PGG.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"662 ","pages":"Article 130428"},"PeriodicalIF":2.8,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143420272","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}
We investigate the correspondence between network-based public transport network (PTN) supply indicators and passenger demand at the node level, by systematically assessing correlations between node centrality measures and passenger boarding counts across different graph representations of PTNs. At the stop-level, undirected L- and P-space representations with three different edge weightings: unweighted, service-frequency-weighted, and in-vehicle-time-weighted are analysed. In each case, we calculate degree, closeness, betweenness and eigenvector centralities and examine the relation shapes. At the route level, we examine degree and eigenvector centrality for unweighted and weighted C-space representations. We introduce a modified C-space representation with self-loops, with service frequencies as self-loop weights, and propose eigenvector centrality as a route-level supply indicator. Stop- and route-level properties are integrated using the B-space representation. This methodology was applied to a case study for a bus PTN in Ljubljana, Slovenia. Results show strong correspondence between passenger demand and degree and eigenvector centrality scores in the frequency-weighted P-space (correlation ). Notably, the relationship between eigenvector centrality and passenger counts in the new C-space representation with self-loops exhibits logarithmic behaviour. Furthermore, the results suggest a minimum eigenvector centrality threshold () for a route to start facilitating passenger use. The route-level results from the B-space analysis show exponential convergence of passenger counts to route eigenvector centrality. Results of the stop-level analysis are in line with previous research and deepen the understanding of centrality measures as supply indicators. Most significantly, the route-level analysis is novel, and the results open promising venues for further research.
{"title":"Node importance corresponds to passenger demand in public transport networks","authors":"Tina Šfiligoj , Aljoša Peperko , Patricija Bajec , Oded Cats","doi":"10.1016/j.physa.2025.130354","DOIUrl":"10.1016/j.physa.2025.130354","url":null,"abstract":"<div><div>We investigate the correspondence between network-based public transport network (PTN) supply indicators and passenger demand at the node level, by systematically assessing correlations between node centrality measures and passenger boarding counts across different graph representations of PTNs. At the stop-level, undirected L- and P-space representations with three different edge weightings: unweighted, service-frequency-weighted, and in-vehicle-time-weighted are analysed. In each case, we calculate degree, closeness, betweenness and eigenvector centralities and examine the relation shapes. At the route level, we examine degree and eigenvector centrality for unweighted and weighted C-space representations. We introduce a modified C-space representation with self-loops, with service frequencies as self-loop weights, and propose eigenvector centrality as a route-level supply indicator. Stop- and route-level properties are integrated using the B-space representation. This methodology was applied to a case study for a bus PTN in Ljubljana, Slovenia. Results show strong correspondence between passenger demand and degree and eigenvector centrality scores in the frequency-weighted P-space (correlation <span><math><mrow><mo>≈</mo><mn>0</mn><mo>.</mo><mn>7</mn><mo>−</mo><mn>0</mn><mo>.</mo><mn>8</mn></mrow></math></span>). Notably, the relationship between eigenvector centrality and passenger counts in the new C-space representation with self-loops exhibits logarithmic behaviour. Furthermore, the results suggest a minimum eigenvector centrality threshold (<span><math><mrow><mo>≈</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup></mrow></math></span>) for a route to start facilitating passenger use. The route-level results from the B-space analysis show exponential convergence of passenger counts to route eigenvector centrality. Results of the stop-level analysis are in line with previous research and deepen the understanding of centrality measures as supply indicators. Most significantly, the route-level analysis is novel, and the results open promising venues for further research.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"659 ","pages":"Article 130354"},"PeriodicalIF":2.8,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143160755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-01DOI: 10.1016/j.physa.2025.130352
Disha Verma , Indrajith V.S , R. Sankaranarayanan
Spin systems have been extensively studied to understand the mechanisms of quantum batteries, which have shown the ability to charge faster than classical counterparts, even in closed systems. However, the internal dynamics of quantum batteries can significantly affect their performance, making it crucial to understand the influence of various parameters. In this study, we focus on a two-spin Heisenberg XYZ system, examining key factors such as anisotropy in spin interactions and external magnetic field to optimize work output to ensure effective charging.
{"title":"Dynamics of Heisenberg XYZ two-spin quantum battery","authors":"Disha Verma , Indrajith V.S , R. Sankaranarayanan","doi":"10.1016/j.physa.2025.130352","DOIUrl":"10.1016/j.physa.2025.130352","url":null,"abstract":"<div><div>Spin systems have been extensively studied to understand the mechanisms of quantum batteries, which have shown the ability to charge faster than classical counterparts, even in closed systems. However, the internal dynamics of quantum batteries can significantly affect their performance, making it crucial to understand the influence of various parameters. In this study, we focus on a two-spin Heisenberg XYZ system, examining key factors such as anisotropy in spin interactions and external magnetic field to optimize work output to ensure effective charging.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"659 ","pages":"Article 130352"},"PeriodicalIF":2.8,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143161214","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}
Pub Date : 2025-02-01DOI: 10.1016/j.physa.2024.130310
J. Montes , Leonardo Ermann , Alejandro M.F. Rivas , F. Borondo , Gabriel G. Carlo
We introduce an efficient neural network (NN) architecture for classifying wave functions in terms of their localization (probability concentration) in a specific region of the quantum phase space. Our approach integrates a versatile quantum phase space parametrization leading to a custom ”quantum” NN, with the pattern recognition capabilities of a modified convolutional model. This design accepts wave functions of any dimension as inputs and makes accurate predictions at an affordable computational cost. This scalability becomes crucial to explore the localization rate at the semiclassical limit –i.e. at large Hilbert space dimensions – a long standing question in the quantum scattering field. Moreover, the physical meaning built in the model allows for the interpretation of the learning process.
{"title":"Exploring quantum localization with machine learning","authors":"J. Montes , Leonardo Ermann , Alejandro M.F. Rivas , F. Borondo , Gabriel G. Carlo","doi":"10.1016/j.physa.2024.130310","DOIUrl":"10.1016/j.physa.2024.130310","url":null,"abstract":"<div><div>We introduce an efficient neural network (NN) architecture for classifying wave functions in terms of their localization (probability concentration) in a specific region of the quantum phase space. Our approach integrates a versatile quantum phase space parametrization leading to a custom ”quantum” NN, with the pattern recognition capabilities of a modified convolutional model. This design accepts wave functions of any dimension as inputs and makes accurate predictions at an affordable computational cost. This scalability becomes crucial to explore the localization rate at the semiclassical limit –i.e. at large Hilbert space dimensions <span><math><mrow><mi>N</mi><mo>=</mo><msup><mrow><mrow><mo>(</mo><mn>2</mn><mi>π</mi><mo>ħ</mo><mo>)</mo></mrow></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math></span>– a long standing question in the quantum scattering field. Moreover, the physical meaning built in the model allows for the interpretation of the learning process.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"659 ","pages":"Article 130310"},"PeriodicalIF":2.8,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143161255","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}
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