Chinese Journal of Physics最新文献

{"title":"Magnetic and thermodynamic properties of mixed spin-3/2 and spin-3 Ising ferrimagnets on a 2D triangular lattice: Monte Carlo study","authors":"D. Fouejio,&nbsp;P. Noudem,&nbsp;S.S. Zekeng","doi":"10.1016/j.cjph.2024.09.041","DOIUrl":"10.1016/j.cjph.2024.09.041","url":null,"abstract":"<div><div>Monte Carlo methods in the presence and absence of an external magnetic field were used to investigate the thermodynamic and magnetic properties of the mixed spins (3/2, 3) Ising ferrimagnets in a 2D triangular lattice consisting of sublattices A, B, and C. Two types of mixing were considered: <span><math><mrow><mover><mi>S</mi><mo>→</mo></mover><mo>=</mo><mrow><mo>(</mo><mrow><msub><mi>S</mi><mi>A</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>B</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>C</mi></msub></mrow><mo>)</mo></mrow><mo>=</mo><mrow><mo>(</mo><mrow><mn>3</mn><mo>/</mo><mn>2</mn><mo>,</mo><mspace></mspace><mn>3</mn><mo>,</mo><mspace></mspace><mn>3</mn></mrow><mo>)</mo></mrow></mrow></math></span> (Model I) and <span><math><mrow><mover><mi>S</mi><mo>→</mo></mover><mo>=</mo><mrow><mo>(</mo><mrow><msub><mi>S</mi><mi>A</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>B</mi></msub><mo>,</mo><mspace></mspace><msub><mi>S</mi><mi>C</mi></msub></mrow><mo>)</mo></mrow><mo>=</mo><mrow><mo>(</mo><mrow><mn>3</mn><mo>/</mo><mn>2</mn><mo>,</mo><mspace></mspace><mn>3</mn><mo>,</mo><mspace></mspace><mn>3</mn><mo>/</mo><mn>2</mn></mrow><mo>)</mo></mrow></mrow></math></span> (Model II). In contrast to bipartite lattices, the antiferromagnetic coupling between spin-3/2 and spin-3 in the triangular lattice leads to geometric frustrations that impact magnetic properties. Determination of ground state phase diagrams, combined with verification of whether or not there was magnetic hysteresis when crossing each transition line, revealed first- and second-order phase transition lines, as well as multicritical points. The temperature investigation in the absence of an external magnetic field revealed rich magnetic properties such as 1st- and 2nd-order phase transitions, N- and L-type compensation points, tricritical points, and critical endpoints, as well as M-, P-, Q-, R- and S-type total magnetization behaviours. The effect of the crystal field on finite-temperature phase diagrams and compensation behaviour was also carried out. As a result, the critical temperatures of Model II become constant when the crystal field is sufficiently strong. In contrast, several critical values of the crystal field for which the critical temperature is zero were identified for Model I. In the presence of a magnetic field, hysteresis behaviour and associated magnetic properties such as coercivity and magnetic remanence were investigated. The effect of crystal field and temperature was explored. Hysteresis of one to four loops were found at low temperatures when the crystal field varied. Finally, as the temperature rises, the hysteresis loops' area decreases to zero at high temperatures.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 857-876"},"PeriodicalIF":4.6,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142526150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}

{"title":"Nonlinear dynamics of micropolar two-phase fluids: Multiple exact solutions","authors":"Waqar Khan Usafzai ,&nbsp;Emad H. Aly ,&nbsp;Ioan Pop","doi":"10.1016/j.cjph.2024.09.034","DOIUrl":"10.1016/j.cjph.2024.09.034","url":null,"abstract":"<div><div>Dual and triple solutions induced by a flexible planar surface for a micropolar two-phase fluid model are studied. The two-phase behavior in the micropolar fluid model occurs due to phase transitions between the fluid phases, influenced by interfacial stresses and heat transfer. The physical implications of these transitions are significant in understanding flow behavior under different mechanical and thermal conditions. This study examines the critical parameters and conditions that lead to these phase transitions, resulting in dual or triple solutions in the flow dynamics. The flow and thermal fields are exact solutions of the steady, two-dimensional two-phase micropolar fluid equations in the form of similarity solution. It is shown that dual and triple exact solutions exist for a highly nonlinear system. Triple solutions exist for the skin friction and temperature gradient identified by the critical numbers <span><math><msub><mrow><mi>a</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> and <span><math><mrow><msub><mrow><mi>μ</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>.</mo></mrow></math></span> It is noted that for sufficiently small values of stretching strength parameter the dual branches for two of the triple solutions exist only in the regions <span><math><mrow><mi>μ</mi><mo>≥</mo><msub><mrow><mi>μ</mi></mrow><mrow><msub><mrow><mi>c</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></msub><mo>,</mo></mrow></math></span> and <span><math><mrow><mi>μ</mi><mo>≤</mo><msub><mrow><mi>μ</mi></mrow><mrow><msub><mrow><mi>c</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></msub><mo>,</mo></mrow></math></span> where <span><math><mrow><msub><mrow><mi>μ</mi></mrow><mrow><msub><mrow><mi>c</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></msub><mo>=</mo><mo>−</mo><mn>5</mn><mo>.</mo><mn>23</mn></mrow></math></span> and <span><math><mrow><msub><mrow><mi>μ</mi></mrow><mrow><msub><mrow><mi>c</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></msub><mo>=</mo><mo>−</mo><mn>7</mn><mo>.</mo><mn>72</mn><mo>.</mo></mrow></math></span> Numerical results are also provided, validating the model and offering insights into its accuracy and behavior of the model.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 607-622"},"PeriodicalIF":4.6,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142417956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}

{"title":"Thermal and computational analysis of MHD dissipative flow of Eyring–Powell fluid: Non-similar approach via overlapping grid-based spectral collocation scheme","authors":"Muhammad Idrees Afridi ,&nbsp;M.P. Mkhatshwa ,&nbsp;Muhammad Qasim ,&nbsp;Ali J. Chamkha","doi":"10.1016/j.cjph.2024.09.035","DOIUrl":"10.1016/j.cjph.2024.09.035","url":null,"abstract":"<div><div>The aim of the present study is to numerically investigate the non-similar flow and heat transfer in a dissipative Eyring–Powell fluid (EPF) over a stretching surface. A constant magnetic field is applied perpendicular to the stretched surface to explore the impact of the Lorentz force. Both viscous and magnetic dissipation are considered to comprehensively examine their effects on heat transfer. The problem in hand does not admit self-similar solutions as the non-Newtonian fluid parameter varies with the spatial variable along the stream-wise direction. Consequently, the set of nonlinear partial differential equations, modeling the flow problem is nondimensionalized primarily by employing a pseudo-similarity variable and stream-wise coordinate. The non-dimensional set of nonlinear partial differential equations is solved by a newly developed and efficient “overlapping multi-domain bivariate spectral local linearization method (OMD-BSLLM)”. The current study includes residual error analysis and convergence tests to demonstrate the accuracy of the numerical method applied to the current mathematical model. Graphs show fluid flow and heat transfer results for different flow parameters, while tables display skin friction and Nusselt number values. The results indicate that the non-Newtonian fluid parameter enhances both the velocity profile and temperature distribution. The fluid decelerates with increasing the dimensionless stream wise coordinate and Hartmann number. Viscous dissipation and dimensionless stream-wise coordinate enhances the temperature profile.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 1026-1042"},"PeriodicalIF":4.6,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142573018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}

{"title":"Minimally deformed regular Bardeen black hole solutions in Rastall theory","authors":"M. Sharif ,&nbsp;Malick Sallah","doi":"10.1016/j.cjph.2024.09.027","DOIUrl":"10.1016/j.cjph.2024.09.027","url":null,"abstract":"<div><div>In this study, we utilize the minimal geometric deformation technique of gravitational decoupling to extend the regular Bardeen black hole, leading to the derivation of new black hole solutions within the framework of Rastall theory. By decoupling the field equations associated with an extended matter source into two subsystems, we address the first subsystem using the metric components of the regular Bardeen black hole. The second subsystem, incorporating the effects of the additional source, is solved through a constraint imposed by a linear equation of state. By linearly combining the solutions of these subsystems, we obtain two extended models. We then explore the distinct physical properties of these models for specific values of the Rastall and decoupling parameters. Our investigations encompass effective thermodynamic variables such as density and anisotropic pressure, asymptotic flatness, energy conditions, and thermodynamic properties including Hawking temperature, entropy, and specific heat. The results reveal that both models violate asymptotic flatness of the resulting spacetimes. The violation of energy conditions indicate the presence of exotic matter, for both models. Nonetheless, the energy density, radial pressure, as well as the Hawking temperature exhibit acceptable behavior, while the specific heat and Hessian matrix suggest thermodynamic stability.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 794-808"},"PeriodicalIF":4.6,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142526145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}

{"title":"Predicting the firing behaviour of neural network through the bifurcation analysis of derivative mean-field model","authors":"Junjie Wang ,&nbsp;Jieqiong Xu ,&nbsp;Xiaoyi Mo ,&nbsp;Jimin Qiu","doi":"10.1016/j.cjph.2024.09.031","DOIUrl":"10.1016/j.cjph.2024.09.031","url":null,"abstract":"<div><div>The mean-field model is an important method for understanding the complex dynamics of the nervous system at different spatial levels and for simulating and theoretically analysing the collective dynamic behaviour of large neural populations. In the work, we construct an improved mean-field system of neural networks coupled with quadratic integrate-and-fire neurons and examine the discharge patterns for networks by analysing such a model, which is a three-dimensional smooth differential system. Bifurcation analysis of the mean-field model is conducted from both theoretical and simulation perspectives, we obtain the bifurcation conditions of some co-dimension-two bifurcations and divide the parameter space into different regimes by simulating two parameters bifurcation diagrams. We find a close correspondence, though with some variance, between the mean-field model and neural network when comparing the firing patterns of the two models in various parameter regimes. In summary, the obtained mean-field description builds the bridge between the parameters of neurons or networks and that of a mean-field system to ensure we can compare them and understand the connections between them. Specifically, the mean-field model can reflect the dynamics of neural networks from a macroscopic perspective, and its bifurcation can predict the behaviour of neural networks to a certain extent and understand the mechanisms behind them, such as bursting dynamics of neural networks.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 779-793"},"PeriodicalIF":4.6,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142445600","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}

{"title":"Influences of Newtonian heating and Darcy's law in micropolar fluid flow over a magnetized stretchable disk: A Bayesian analysis","authors":"Mohammed Alkinidri ,&nbsp;A. Rauf ,&nbsp;A. Farooq ,&nbsp;F. Mustafa ,&nbsp;S.A. Shehzad ,&nbsp;M.K. Siddiq","doi":"10.1016/j.cjph.2024.09.032","DOIUrl":"10.1016/j.cjph.2024.09.032","url":null,"abstract":"<div><div>A laminar two-dimensional magnetized micropolar fluid flow passed through a stretchable surface is examined. The axi-symmetric time-independent thermal flow experienced the impacts of Darcy's law, thermal conductivity, and Newtonian heating. The dimensionalized flow model is governed by similarity transformations. The resulting non-linear flow system is numerically solved through Runge-Kutta-Fehlberg (RKF-45) built in scheme. The graphics illustration of velocity and thermal fields for multiple physical parameters is presented. The numerical values at the disk surface for couple stresses, thermal rate, and shear stresses are also calculated. A Bayesian approach is used to assess the association degree amongst the under-study constraints and variables. The magnitude of the microrotational profiles is enhanced by the combined effect of micropolar parameters while an opposite effect is observed in microrotational field against magnetic and porosity parameters. The temperature field is modified through enhancing values of conjugate parameters. Moreover, such thermal field is larger for variable thermal conductivity as assumed to constant fluid property.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 403-415"},"PeriodicalIF":4.6,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142417961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}

{"title":"Study of gravastar admitting Tolman IV spacetime in Rastall theory","authors":"M. Sharif,&nbsp;Tayyab Naseer,&nbsp;Areej Tabassum","doi":"10.1016/j.cjph.2024.09.026","DOIUrl":"10.1016/j.cjph.2024.09.026","url":null,"abstract":"<div><div>In this paper, we present a novel solution representing the gravastar (or gravitational vacuum star) model within the framework of non-conservative Rastall gravity. As a viable alternative to black holes, the geometry of a gravastar comprises three distinct regions: the inner sector, the intermediate layer, and the exterior domain. Utilizing the temporal component of Tolman IV spacetime, we derive the singularity-free radial metric potentials for both the inner and intermediate regions. Further, by aligning the thin shell with the external Schwarzschild line element, we establish boundary conditions in order to determine unknown constants that appear due to the chosen ansatz and performing some integrations. Subsequently, we investigate various properties for the gravastar’s shell, including the equation of state parameter, proper length, energy, entropy and gravitational redshift for four different values of the Rastall parameter. It is concluded that the gravastar structure exists and provides a feasible substitute of black holes in the framework of Rastall theory.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 579-592"},"PeriodicalIF":4.6,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142417943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}

{"title":"Topological pumping in an inhomogeneous Aubry–André model","authors":"Muhammad Sajid ,&nbsp;Niaz Ali Khan ,&nbsp;Muzamil Shah","doi":"10.1016/j.cjph.2024.09.028","DOIUrl":"10.1016/j.cjph.2024.09.028","url":null,"abstract":"<div><div>The Aubry–André model is a fundamental theoretical model that exhibits interesting topological features. In this paper, we examine topologically protected boundary states in the inhomogeneous off-diagonal Aubry–André model. In contrast to the homogeneous case, the inhomogeneity triggers boundary states at phase boundaries that separate two distinct non-trivial topological domains. Remarkably, the topological character of the boundary states is predicted through topological pumping, where a boundary state is transferred from one boundary across the bulk region to the other by adiabatically tuning the pump parameter. Moreover, the role of the off-diagonal modulation strength (<span><math><mi>λ</mi></math></span>) on the transfer efficiency of the topological pumping is addressed. To support our results, we investigate the time evolution of a continuous-time quantum walk and show that its spread rate and <span><math><mi>λ</mi></math></span> are inversely related. Our work provides a new avenue to harness topological features of the Aubry–André model, where topological pumping can be used for robust quantum transport.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 311-320"},"PeriodicalIF":4.6,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142358111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}

{"title":"Higher-order properties of multi-modal public transit networks","authors":"Xiaohan Xu ,&nbsp;Ailing Huang ,&nbsp;Amer Shalaby ,&nbsp;Zhihuan Jiang ,&nbsp;Mengyuan Duan ,&nbsp;Geqi Qi","doi":"10.1016/j.cjph.2024.09.033","DOIUrl":"10.1016/j.cjph.2024.09.033","url":null,"abstract":"<div><div>Over the years, research advances in public transit networks (PTNs) are restricted to pairwise interactions, while providing limited understanding of higher-order PTNs. In particular, exploring the higher-order interactions of multi-modal PTNs (MPTNs) can not only facilitate a more efficient and convenient way to meet the travel demands of passengers, but also improve the carrying capacity and attractiveness of public transit systems. Consequently, this paper characterizes the characteristic metrics of higher-order MPTNs and the node importance identification method considering higher-order cliques. The construction method of MPTNs and the metrics of higher-order network properties are first introduced. Based on investigating the characteristics of higher-order cliques, we then further design a node importance measure to explore the degree of station core of higher-order MPTNs. Finally, taking the Beijing public transit system as an example, three different types of MPTNs (including the bus network, bus-metro network, and bus-metro-taxi/ride-hailing network) are constructed, and their higher-order properties are statistically analyzed. The empirical study finds that the Beijing MPTNs with higher-order interactions have a large number of complex clique and cavity structures, which are typical of scale-free networks. In terms of node rankings, our proposed node importance measure incorporates rich information about the higher-order properties compared to well-known benchmark indices. Correspondingly, the measure performs overall better than other benchmarks in identifying the most vulnerable nodes under intentional attacks. The paper provides a reference for future exploration of the dynamic evolution mechanism of higher-order MPTNs, and can serve the actual network planning and design of urban MPTNs.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 432-452"},"PeriodicalIF":4.6,"publicationDate":"2024-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142417821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}

{"title":"Generation of quantum entanglement and Einstein–Podolsky–Rosen steering in a hybrid qubit-cavity optomagnonic system","authors":"Kai-Kai Zhang ,&nbsp;Zhonghu Zhu ,&nbsp;Tao Shui ,&nbsp;Wen-Xing Yang","doi":"10.1016/j.cjph.2024.09.024","DOIUrl":"10.1016/j.cjph.2024.09.024","url":null,"abstract":"<div><div>We propose a scheme to generate quantum entanglement and Einstein–Podolsky–Rosen (EPR) steering in a hybrid qubit-cavity optomagnonic system. This hybrid system consists of a microwave cavity, a yttrium-iron-garnet (YIG) sphere, and a superconducting qubit. Due to the existence of the effective parametric (beamsplitter) coupling between the optical mode and the magnon mode (superconducting qubit), the quantum entanglement and EPR steering between the magnon and qubit modes can be achieved. It is found that bipartite entanglement and one-way quantum steering are limited to a narrow range of parameters, while two-way quantum steering appears in a wide range of parameters. Furthermore, we demonstrate that the entanglement between the magnon and the collective dressed modes, as well as the conversion of one-way quantum steering, can also be achieved. Our scheme may provide a feasible approach to exploring quantum information processing.</div></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"92 ","pages":"Pages 284-297"},"PeriodicalIF":4.6,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142358112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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}