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Exploring slip-enhanced MHD Williamson nanofluid dynamics: interplay of a permeable stretching sheet with thermal radiation and chemical reaction 探索滑移增强MHD Williamson纳米流体动力学:可渗透拉伸片与热辐射和化学反应的相互作用
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2025-01-21 DOI: 10.1007/s12043-024-02867-3
Sadia Irshad, Shah Jahan, Muhammad Sohail, Muhammad Hussain Ali
{"title":"Exploring slip-enhanced MHD Williamson nanofluid dynamics: interplay of a permeable stretching sheet with thermal radiation and chemical reaction","authors":"Sadia Irshad,&nbsp;Shah Jahan,&nbsp;Muhammad Sohail,&nbsp;Muhammad Hussain Ali","doi":"10.1007/s12043-024-02867-3","DOIUrl":"10.1007/s12043-024-02867-3","url":null,"abstract":"<div><p>The study focusses on analysing the intricate dynamics of heat and mass transfer in non-Newtonian fluids, emphasising the efficacy of the Williamson fluid model in characterising situations with diverse viscosities. This study investigates the mass and heat transfer of a magnetohydrodynamic Williamson fluid across a surface with stretched pores, taking into account the radiation from heat sources and chemical reactions. We reduce the extremely nonlinear governing equations to more manageable forms by applying similarity invariants and obtain the numerical solution by combining the shooting method and the BVP4C method to solve the reduced systems of ordinary differential equations MATLAB visualisations demonstrate that the non-dimensional parameters are closely related to the body of current literature. Notably, the data indicate an intensification of the temperature profile at higher radiation, Williamson and magnetic factor values, while fluid motion experiences a decrease at these elevated levels. This study’s results hold significant implications for industries such as food processing, glassmaking, oil extraction and others related to fluids, as it links higher Williamson and magnetic parameters to reduced fluid mobility, while higher Williamson, magnetic and radiation factors enhance the temperature profile. Overall, this work provides insightful information about how non-Newtonian fluids behave under various physical conditions, with useful applications for a broad range of industrial processes. The purpose of this study is to look at the dynamics of Williamson nanofluids under slip-enhanced magnetohydrodynamics, having a particular emphasis on the interaction of thermal radiation, chemical reaction and a permeable stretching sheet. This research uses the shooting technique and the BVP4C approach to examine the complicated behaviour of the system in depth.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Role of magnetic anisotropy constant orders and thermal noise on skyrmion formation in the Co(/)Pt square nanostructure 磁各向异性常数阶和热噪声对Co (/) Pt方形纳米结构中skyrmion形成的影响
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2025-01-21 DOI: 10.1007/s12043-024-02878-0
Tamali Mukherjee, V Satya Narayana Murthy
{"title":"Role of magnetic anisotropy constant orders and thermal noise on skyrmion formation in the Co(/)Pt square nanostructure","authors":"Tamali Mukherjee,&nbsp;V Satya Narayana Murthy","doi":"10.1007/s12043-024-02878-0","DOIUrl":"10.1007/s12043-024-02878-0","url":null,"abstract":"<div><p>Skyrmions, which are topologically stable magnetic structures, have manifested promising features to be used as an information carrier in new-age, non-volatile data storage devices. In this article, Co<span>(/)</span>Pt square nanostructure with Co-free layer thickness in the range of 1–5 nm and first- and second-order anisotropy constants are taken to study the controlled formation of skyrmions. The magnetisation dynamics controlled by the current-induced spin transfer torque help to nucleate skyrmions by transforming the perpendicularly magnetised ground state. This process leads to a stable state of the isolated skyrmions via a complex transformation of the Neel wall following its image inversion. Skyrmion numbers vary with increasing thickness as the current density gradually increases. The impact of higher-order anisotropy constants (up to the second order) on the relaxed state of a system, compared to the first-order anisotropy alone, has been examined. Additionally, the effect of temperature on the formation of skyrmions has been analysed for all thicknesses.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Solitary wave solutions to a (3 + 1)-dimensional extended Zakharov–Kuznetsov model in a dusty magnetised plasma 尘埃磁化等离子体中(3 + 1)维扩展Zakharov-Kuznetsov模型的孤波解
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2025-01-21 DOI: 10.1007/s12043-024-02876-2
Amit Prakash,  Swati
{"title":"Solitary wave solutions to a (3 + 1)-dimensional extended Zakharov–Kuznetsov model in a dusty magnetised plasma","authors":"Amit Prakash,&nbsp; Swati","doi":"10.1007/s12043-024-02876-2","DOIUrl":"10.1007/s12043-024-02876-2","url":null,"abstract":"<div><p>This article studies the (3 + 1)-dimensional extended Zakharov–Kuznetsov (EZK) model describing the propagation of solitary waves across a magnetised dusty plasma. An analysis of the nonlinear three-dimensional dust-ion-acoustic solitary wave propagation in a magnetised two-ion-temperature dusty plasma is conducted. The sine–Gordon expansion method (SGEM) and <span>((1/{G}^{prime}))</span> technique are implemented to discover new complex analytical solutions of the (3 + 1)-dimensional EZK model. These solutions comprise rational, exponential and hyperbolic functions. We plotted 3D, 2D and contour plots for some of the solutions for suitable parametric values. The graphs describe the change in the behaviour of solutions as values of free parameters are varied. All obtained solutions are checked using Maple software.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Study of ground-state bands in Er and Yb nuclei with (Nge 100) 铒和镱原子核基态带的研究 (Nge 100)
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2025-01-13 DOI: 10.1007/s12043-024-02879-z
Sameena Murtaza, Sajid Ali, G Gangopadhyay
{"title":"Study of ground-state bands in Er and Yb nuclei with (Nge 100)","authors":"Sameena Murtaza,&nbsp;Sajid Ali,&nbsp;G Gangopadhyay","doi":"10.1007/s12043-024-02879-z","DOIUrl":"10.1007/s12043-024-02879-z","url":null,"abstract":"<div><p>Nuclei in the rare-earth region are known to be strongly deformed and show rotational bands up to high spins. Ground state and high spin states of Yb and Er isotopes <span>((Nge 100))</span> have been studied using the Hartree–Fock–Bogoliubov approach as well as the projected shell model. A large number of quasiparticle bands are observed in these nuclei and the present study explores the possible origins of some of them. Projected shell model with variable pairing can provide a good description of the ground-state bands up to very high spins.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Identifying influential nodes in complex networks based on improved local gravity model 基于改进局部重力模型的复杂网络影响节点识别
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2025-01-13 DOI: 10.1007/s12043-024-02864-6
Yongqing Wu, Tianchang Tang
{"title":"Identifying influential nodes in complex networks based on improved local gravity model","authors":"Yongqing Wu,&nbsp;Tianchang Tang","doi":"10.1007/s12043-024-02864-6","DOIUrl":"10.1007/s12043-024-02864-6","url":null,"abstract":"<div><p>Influential node identification has long been a focal point for researchers. Existing methods primarily focus on the individual topological characteristics of the nodes, making it difficult to accurately identify key nodes within a network. This paper introduces an improved local gravity model (ILGM) that incorporates node position, paths, quantity and injection to evaluate the influence of each node. The ILGM further explores the topological characteristics of neighbouring nodes, incorporating path and quantity data from adjacent nodes. This enhancement significantly improves the accuracy of the algorithm’s results. Empirical evaluations conducted on five real-world networks and one artificial network demonstrate that the proposed model effectively identifies influential nodes in complex networks.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Persistence due to the adverse effect of the resource on the consumer 由于资源对消费者的不利影响而导致的持久性
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2025-01-13 DOI: 10.1007/s12043-024-02871-7
M Manoranjani, Dweepabiswa Bagchi, D V Senthilkumar, V K Chandrasekar
{"title":"Persistence due to the adverse effect of the resource on the consumer","authors":"M Manoranjani,&nbsp;Dweepabiswa Bagchi,&nbsp;D V Senthilkumar,&nbsp;V K Chandrasekar","doi":"10.1007/s12043-024-02871-7","DOIUrl":"10.1007/s12043-024-02871-7","url":null,"abstract":"<div><p>We consider a modified Rosenzweig–MacArthur model that incorporates the negative impact of resource on the consumer. This negative effect of the resource has been empirically examined within various ecological systems. It plays a crucial role in driving transitions towards consumer extinction through multistability. Specifically, we show that the negative effect results in the bistability between two steady-state solutions for smaller values of the positive impact of resource on the consumer, whereas higher positive impact facilitates the coexistence of oscillatory behaviour and steady-state solution. We show that the presence of the predator’s negative efficiency facilitates abrupt transitions to distinct dynamical states in both forward and backward traces. We also show that the preferred state of the finite steady state for the persistence of both consumer and resource populations can be achieved for intermediate ranges of consumer’s positive and negative efficiency rates, carrying capacity and mortality rate of the consumer. We find that a large consumer’s negative efficiency rate always drives the system to the extinction of the consumer. We have derived analytical stability conditions for transcritical, Hopf and saddle-node bifurcations by a linear stability analysis, which agrees with the simulation results depicted in the two-parameter phase diagrams.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Stability analysis of an eco-epidemic predator–prey model with Holling type-I and type-III functional responses 具有Holling i型和iii型功能响应的生态流行病捕食-食饵模型的稳定性分析
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2025-01-13 DOI: 10.1007/s12043-024-02877-1
Li Zou, Zhengdi Zhang, Miao Peng
{"title":"Stability analysis of an eco-epidemic predator–prey model with Holling type-I and type-III functional responses","authors":"Li Zou,&nbsp;Zhengdi Zhang,&nbsp;Miao Peng","doi":"10.1007/s12043-024-02877-1","DOIUrl":"10.1007/s12043-024-02877-1","url":null,"abstract":"<div><p>A predator–prey model with Holling type-I and type-III functional responses, where the disease spreads between the prey, is considered in this paper. In consideration of the ecological balance, a harvest term is added to the predator. The positivity and boundedness of the solutions are discussed. Then, the conditions of the equilibrium points are analysed. According to the Routh–Hurwitz criterion, the local stability of equilibrium points can be analysed. For the disease-free equilibrium point, harvest rate <i>h</i> is selected as the bifurcation parameter. For the positive equilibrium point of the system, we choose infection rate <i>b</i> as the bifurcation parameter. By calculating and analysing the corresponding characteristic equations, the existence of Hopf bifurcation at equilibrium points is investigated. On the basis of high-dimensional bifurcation theory, we can obtain formulas which can decide the direction, period and stability of Hopf bifurcation of the system. To substantiate the theory, time history, bifurcation diagram and phase diagrams at different equilibrium points are drawn. In a disease-free environment, it may occur that the predator will prey on the prey in large numbers and eventually leads to the death of the prey. According to the numerical results, it can be seen that proper harvesting of predators is conducive to the stable development of the population. In a diseased ecology, when the infection rate experiences <span>(b^{*})</span>, the stability of the system changes and the prey population can adapt to such changes better. It helps to eliminate some old and weak species to reduce the consumption of resources.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Electromagnetic electro-osmotic flow of the Jeffrey fluid in rectangular microchannel 矩形微通道中杰弗里流体的电磁电渗透流动
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2025-01-03 DOI: 10.1007/s12043-024-02868-2
Mengqi Yu, Jiayin Dong, Jiaofei Liu, Kun Li
{"title":"Electromagnetic electro-osmotic flow of the Jeffrey fluid in rectangular microchannel","authors":"Mengqi Yu,&nbsp;Jiayin Dong,&nbsp;Jiaofei Liu,&nbsp;Kun Li","doi":"10.1007/s12043-024-02868-2","DOIUrl":"10.1007/s12043-024-02868-2","url":null,"abstract":"<div><p>Following a thorough analysis of the existing research on periodic electro-osmotic flow in rectangular microchannels, this paper offers a comprehensive investigation of the distinctive characteristics of electromagnetic electro-osmotic flow in Jeffery fluids, emphasising particularly on the combined impact of the intricate interplay between the electric field and electromagnetic forces. A precise analytical expression for the velocity has been successfully derived by employing the technique of variable separation. Moreover, a comprehensive analysis has been conducted utilising intricate calculations and image evaluation to delve into the implications of Hartmann number (<i>Ha</i>), Reynolds number (<i>Re</i>), relaxation time, electrokinetic width and retardation time on the distribution of flow velocity. The findings indicate that as <i>Ha</i> rises, the flow velocity initially gains momentum, but subsequently exhibits a gradual decline. When <i>Re</i> is 0.5, the speed increases by about 29% and then decreases by about 61%. When <i>Re</i> is 4.5, the speed increases by about 20% and then decreases by about 42%. The increase in electrokinetic width and relaxation time results in an increase in speed. When <i>Ha</i> is 0.5, the velocity rises about 29% by the effect of the electrokinetic width and about 730% by the effect of the relaxation time. When <i>Ha</i> is 6, the velocity rises by about 71% by the effect of the electrokinetic width and the velocity rises by about 100% by the effect of the relaxation time. However, an increase in the retardation time and <i>Re</i> will result in a decrease in the flow rate. When <i>Ha</i> is 0.5, the velocity decreases by 83% under the effect of retardation time and 80% under the effect of <i>Re</i>. When <i>Ha</i> is 6, the velocity decreases by 40% under the effect of retardation time and 25% under the effect of <i>Re</i>. It should be emphasised that the velocity distribution of Jeffrey fluid is mainly concentrated near the channel wall, especially when <i>Ha</i> increases, resulting in the fluid velocity tending to be relatively slow. It is particularly interesting that when <i>Ha</i> reaches a high level, the fluid velocity is almost no longer affected by changes in <i>Re</i>. In order to validate the accuracy of this study, the resulting findings were cross-checked with previous findings and these comparisons support that the conclusions of this paper are plausible.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142912859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Quantifying the particle aspect of quantum systems 量化量子系统的粒子方面
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2024-12-28 DOI: 10.1007/s12043-024-02865-5
Sreetama Das, Indranil Chakrabarty, Arun Kumar Pati, Aditi Sen De, Ujjwal Sen
{"title":"Quantifying the particle aspect of quantum systems","authors":"Sreetama Das,&nbsp;Indranil Chakrabarty,&nbsp;Arun Kumar Pati,&nbsp;Aditi Sen De,&nbsp;Ujjwal Sen","doi":"10.1007/s12043-024-02865-5","DOIUrl":"10.1007/s12043-024-02865-5","url":null,"abstract":"<div><p>The possibility of a quantum system to exhibit properties that are akin to both the classically held notions of being a particle and a wave, is one of the most intriguing aspects of the quantum description of nature. These aspects have been instrumental in understanding paradigmatic natural phenomena as well as to provide non-classical applications. A conceptual foundation for the wave nature of a quantum state has recently been presented, through the notion of quantum coherence. We introduce here a parallel notion for the particle nature of a quantum state of an arbitrary physical system. We provide elements of a resource theory of particleness, and give a quantification of the same. Finally, we provide evidence for a complementarity between the particleness thus introduced, and the coherence of an arbitrary quantum state.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Dynamics and routes to strange non-chaotic behaviour in MEMS resonators: analysis and characterisation MEMS谐振器中奇怪非混沌行为的动力学和路径:分析和表征
IF 1.9 4区 物理与天体物理
Pramana Pub Date : 2024-12-27 DOI: 10.1007/s12043-024-02858-4
Mohanasubha Ramasamy, Suresh Kumarasamy, Dianavinnarasi Joseph, Jeeva Arulanantham Muthu, Karthikeyan Rajagopal
{"title":"Dynamics and routes to strange non-chaotic behaviour in MEMS resonators: analysis and characterisation","authors":"Mohanasubha Ramasamy,&nbsp;Suresh Kumarasamy,&nbsp;Dianavinnarasi Joseph,&nbsp;Jeeva Arulanantham Muthu,&nbsp;Karthikeyan Rajagopal","doi":"10.1007/s12043-024-02858-4","DOIUrl":"10.1007/s12043-024-02858-4","url":null,"abstract":"<div><p>The present study deals with the dynamics of microelectromechanical system (MEMS) resonators, especially the exploration of strange non-chaotic attractor (SNA) in MEMS resonators. SNAs often arise in systems driven by quasiperiodic forces, where the system is subjected to multiple frequencies that are incommensurate. When we apply the quasiperiodic forces, we identify the presence of SNA regions in the MEMS oscillators through bifurcation and Lyapunov analysis. Subsequently, we analyse the route of SNA in the considered system. In our analysis, the first identified route to SNA is the fractilisation route which is validated through various analyses, such as Poincaré map, distribution of finite-time Lyapunov exponents, Lyapunov variance, singular continuous spectrum and recurrence analysis. Moreover, two additional routes to SNA, namely Haegy–Heamel route and intermittency route, are identified and thoroughly investigated, and the presence of SNA is confirmed using singular continuous spectrum analysis. This work helps to understand SNA that can be important in fields like signal processing, where distinguishing between chaotic and non-chaotic signals is crucial. In particular, the emergence and characterisation of SNAs in MEMS resonators open avenues for further research and applications in nonlinear dynamics and chaotic systems.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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