Physica A: Statistical Mechanics and its Applications最新文献

筛选
英文 中文
Magnetic properties and hysteresis behavior of a mixed-spin (5/2; 1/2) Ising model in a two-layer graphene-like structure
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-28 DOI: 10.1016/j.physa.2025.130399
M. Salama , T. Mouhrach , A. El Abbassi , N. Hachem , E.B. Choubabi , M. El Bouziani
{"title":"Magnetic properties and hysteresis behavior of a mixed-spin (5/2; 1/2) Ising model in a two-layer graphene-like structure","authors":"M. Salama ,&nbsp;T. Mouhrach ,&nbsp;A. El Abbassi ,&nbsp;N. Hachem ,&nbsp;E.B. Choubabi ,&nbsp;M. El Bouziani","doi":"10.1016/j.physa.2025.130399","DOIUrl":"10.1016/j.physa.2025.130399","url":null,"abstract":"<div><div>In this paper, we used Monte Carlo simulation based on the Metropolis algorithm to study the magnetic and thermodynamic properties and hysteresis behavior of a mixed-spin <span><math><mrow><mo>(</mo><mn>5</mn><mo>/</mo><mn>2</mn><mo>;</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>)</mo></mrow></math></span> graphene bilayer. To do this, we examined the impacts of exchange couplings, longitudinal crystal field, external magnetic field and temperature on magnetization, magnetic susceptibility, internal energy, blocking temperature, hysteresis behavior and its hysteretic parameters, namely coercivity and remanence. Interesting physical results were obtained, such as the richness of saturation values of magnetizations in the ground state and multi-loop hysteresis behavior.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130399"},"PeriodicalIF":2.8,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128251","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 quantum expectation identity: Applications to statistical mechanics
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-28 DOI: 10.1016/j.physa.2025.130402
Boris Maulén , Sergio Davis , Daniel Pons
{"title":"A quantum expectation identity: Applications to statistical mechanics","authors":"Boris Maulén ,&nbsp;Sergio Davis ,&nbsp;Daniel Pons","doi":"10.1016/j.physa.2025.130402","DOIUrl":"10.1016/j.physa.2025.130402","url":null,"abstract":"<div><div>In this article we derive a useful expectation identity using the language of quantum statistical mechanics, where density matrices represent the state of knowledge about the system. This identity allows to establish relations between different quantum observables depending on a continuous parameter <span><math><mrow><mi>γ</mi><mo>∈</mo><mi>R</mi></mrow></math></span>. Such a parameter can be contained in the observables itself (e.g. perturbative parameter) or may appear as a Lagrange multiplier (inverse temperature, chemical potential, etc.) in the density matrix, excluding parameters that modify the underlying Hilbert space. In this way, using both canonical and grand canonical density matrices along with certain quantum observables (Hamiltonian, number operator, the density matrix itself, etc.) we found new identities in the field, showing not only its derivation but also their meaning. Additionally, we found that some theorems of traditional quantum statistics and quantum chemistry, such as the thermodynamical fluctuation–dissipation theorem, the Ehrenfest, and the Hellmann–Feynman theorems, among others, are particular instances of our aforementioned quantum expectation identity. At last, using a <em>generalized</em> density matrix arising from the Maximum-Entropy principle, we derive generalized quantum expectation identities: these generalized identities allow us to group all the previous cases in a unitary scheme.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130402"},"PeriodicalIF":2.8,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128252","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
Corrigendum to ‘The McLennan–Zubarev steady state distribution and fluctuation theorems’ Physica A 473 (2017) 603–619
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-28 DOI: 10.1016/j.physa.2025.130396
Mitsusada M. Sano
{"title":"Corrigendum to ‘The McLennan–Zubarev steady state distribution and fluctuation theorems’ Physica A 473 (2017) 603–619","authors":"Mitsusada M. Sano","doi":"10.1016/j.physa.2025.130396","DOIUrl":"10.1016/j.physa.2025.130396","url":null,"abstract":"<div><div>In the original paper Sano (2017) <span><span>[1]</span></span>, the author derived two fluctuation theorems. But the derivation is wrong. In particular, the definition of several quantities is a mistake. So the derivation of the fluctuation theorems should be corrected. The author corrects the section 4 and 5 in the original paper Sano (2017) <span><span>[1]</span></span>.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130396"},"PeriodicalIF":2.8,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143093376","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
Modeling and optimal congestion control of multi-lane highway traffic with on-ramp and off-ramp under V2X environment
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-27 DOI: 10.1016/j.physa.2025.130409
Chuan Tian , Yirong Kang
{"title":"Modeling and optimal congestion control of multi-lane highway traffic with on-ramp and off-ramp under V2X environment","authors":"Chuan Tian ,&nbsp;Yirong Kang","doi":"10.1016/j.physa.2025.130409","DOIUrl":"10.1016/j.physa.2025.130409","url":null,"abstract":"<div><div>For the freeway scenario empowered by V2X technology, a new multi-lane lattice model is proposed. This model is based on newly designed density feedback delayed congestion control signals, and it takes into account the driver's lane-changing characteristics as well as the influence of on-ramps and off-ramps in the multi-lane system. The linear stability condition of the new model and the density wave equation, which describes the traffic congestion evolution law near the critical point, are derived through theoretical analysis. Numerical simulations are conducted to verify the correctness of the theoretical analysis results and the rationality of the model. The results indicate that the inflow rate at the on-ramp has a negative effect on the stability of the main roadway in the multi-lane system, while the outflow rate at the off-ramp has a positive effect. Furthermore, increasing the number of lanes and enhancing the driver's lane-changing rate can improve the stability of the multi-lane system, irrespective of the operating conditions of the on-ramp and off-ramp flows. Meanwhile, the results also demonstrate that the newly designed density-delayed feedback control strategy effectively suppresses and smooths out traffic congestion in multi-lane systems.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130409"},"PeriodicalIF":2.8,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128249","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
Higher-order Fokker–Planck type equations and the first-passage times in bounded domains
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-27 DOI: 10.1016/j.physa.2025.130391
S.I. Serdyukov
{"title":"Higher-order Fokker–Planck type equations and the first-passage times in bounded domains","authors":"S.I. Serdyukov","doi":"10.1016/j.physa.2025.130391","DOIUrl":"10.1016/j.physa.2025.130391","url":null,"abstract":"<div><div>We consider one-dimensional anomalous diffusion of free Brownian particle. A time-dependent probability density function for search process was obtained based on generalized normal distribution. It was shown that this function is a solution to a new family of higher-order Fokker–Planck type equations. Using higher-order equations, the mean exit time from interval was derived.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130391"},"PeriodicalIF":2.8,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128482","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
Fluctuation-variable correlation as early warning signals of non-equilibrium critical transitions
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-27 DOI: 10.1016/j.physa.2025.130401
Junhao Bian , Tao Huang , Xu Zhang , Chunping Wang , Yongwen Zhang , Chunhua Zeng
{"title":"Fluctuation-variable correlation as early warning signals of non-equilibrium critical transitions","authors":"Junhao Bian ,&nbsp;Tao Huang ,&nbsp;Xu Zhang ,&nbsp;Chunping Wang ,&nbsp;Yongwen Zhang ,&nbsp;Chunhua Zeng","doi":"10.1016/j.physa.2025.130401","DOIUrl":"10.1016/j.physa.2025.130401","url":null,"abstract":"<div><div>Complex systems exhibit critical transitions, where the system shifts to a new and radically different state due to external or internal influences. Numerous studies have suggested some indicators to detect the early warning signal of critical transition (tipping point). Nonetheless, these indicators are typically formulated using fixed dynamical models or seldom considered in non-equilibrium natural systems. In this article, we propose a novel indicator, the maximum amplitude <span><math><msub><mrow><mi>A</mi></mrow><mrow><mi>p</mi><mi>m</mi></mrow></msub></math></span>, based on the fluctuation-variable correlation. By performing temporal correlation with non-equilibrium dynamic effects and analyzing persistence behavior of dynamics, our findings reveal that <span><math><msub><mrow><mi>A</mi></mrow><mrow><mi>p</mi><mi>m</mi></mrow></msub></math></span> increases abruptly and exhibits a peak value that serves as an early warning signal for the impending critical transition. We demonstrate that <span><math><msub><mrow><mi>A</mi></mrow><mrow><mi>p</mi><mi>m</mi></mrow></msub></math></span> is a reliable and robust early warning signal by employing three models that presented different types of bifurcations. Additionally, results show that <span><math><msub><mrow><mi>A</mi></mrow><mrow><mi>p</mi><mi>m</mi></mrow></msub></math></span> has higher sensitivity and specificity than lag-1 autocorrelation and variance. The indicator also provides early warning signals from the precipitation regime shift event time series of Houston in 2020–2021. Our study contributes to identifying potential critical transitions in natural systems, as well as assisting individuals in better preparing for and avoiding adverse transitions.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130401"},"PeriodicalIF":2.8,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143093335","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
Traffic network: A cascade fault-oriented flow allocation method
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-27 DOI: 10.1016/j.physa.2025.130394
Jiaao Guo, Qinghuai Liang, Jiaqi Zhao
{"title":"Traffic network: A cascade fault-oriented flow allocation method","authors":"Jiaao Guo,&nbsp;Qinghuai Liang,&nbsp;Jiaqi Zhao","doi":"10.1016/j.physa.2025.130394","DOIUrl":"10.1016/j.physa.2025.130394","url":null,"abstract":"<div><div>In the field of complex networks, cascade failure has been widely studied due to its ubiquity and profound impact. The urban rail transit network is designed such that failures at one station or part would propagate throughout the network, affecting train operations at nearby stations or sections as well as disrupting passenger flow throughout the network. A sensible passenger flow assignment plan can enhance a network operation's emergency reaction capability and significantly lessen the impact of a network cascade failure in the event of a failure. However, current passenger assignment models aimed at reducing the phenomenon of cascading failures are not comprehensive and do not fully consider the impact of the overall network centrality and path flow capacity on network cascading failures. This study defines the term \"path flow capacity\" and proposes a traffic network pass-passenger assignment model (New_CC) with Tsallis entropy, based on the concept of system load balancing. The model gives weight to the connecting edges of the traffic network, integrates the betweenness centrality with the theory of structural holes, and enhances the initial passenger flow assignment technique. The distribution results can improve the path flow capacity of the network to a certain extent, and the overall distribution of liquidity is relatively average. Then we define a new cascading failure model, this model is used to determine the path flow capacity at various nodes and investigate the traffic network's resistance to cascading failure under various load distribution methods, using the path flow capacity at nodes as the initial load. The findings indicate that compared to the traditional model, the New_CC model makes more sense. There is almost no overloading between neighboring nodes, and some of the central node traffic is dispersed to the outer nodes of the network. There is no phenomenon that the loads of consecutive nodes on a road are too large at the same time, which causes the transportation network to be blocked at multiple nodes at the same time. In addition, the improved passenger flow assignment model can enhance the path flow capacity of the network to a certain extent, and all the effective paths take up as much as possible the passenger flow between the OD pairs corresponding to the paths in the network.The traffic network's cascade fault model is more robust and can withstand intentional attacks at a lower cost when used in a cascade fault simulation where the path flow capacity serves as the initial load. The improvement of robustness will be further strengthened with the increase of the propagation rate threshold and the decrease of the average degree. From a transportation network perspective, protecting nodes with greater path flow capacity is also a better way to prevent cascading failures, reduce maintenance costs, and give decision makers more options.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130394"},"PeriodicalIF":2.8,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128379","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
Finite-time performance of quantum Otto refrigerators driven by a squeezed reservoir
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-27 DOI: 10.1016/j.physa.2025.130392
Dehua Liu , Yang Xiao , Xian He , Jizhou He , Jianhui Wang
{"title":"Finite-time performance of quantum Otto refrigerators driven by a squeezed reservoir","authors":"Dehua Liu ,&nbsp;Yang Xiao ,&nbsp;Xian He ,&nbsp;Jizhou He ,&nbsp;Jianhui Wang","doi":"10.1016/j.physa.2025.130392","DOIUrl":"10.1016/j.physa.2025.130392","url":null,"abstract":"<div><div>We consider a finite-time quantum Otto refrigerator that consists of two isochoric (thermal-contact) processes, where the working substance is alternatively coupled to a cold squeezed reservoir and a hot thermal reservoir, and two unitary driven strokes, where the working substance is isolated from these two reservoirs and its von Neumann entropy is kept constant. Both quantum inner friction and coherence are generated along the finite-time driven strokes, and coherence cannot be fully erased along an isochoric stroke. We demonstrate that, either in presence or in absence of reservoir squeezing, speeding up the machine may lead to an increase in both average cooling rate and thermodynamic coefficient of performance, with no sacrifice of machine stability. Our results also show that reservoir squeezing significantly enhances the performance by improving both the coefficient of performance and the cooling rate, and it enables higher stability by damping the fluctuations of cooling rate and coefficient of performance.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130392"},"PeriodicalIF":2.8,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143093344","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
Large traffic jam formation induced by multiple crossings in city network
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-27 DOI: 10.1016/j.physa.2025.130414
Takashi Nagatani
{"title":"Large traffic jam formation induced by multiple crossings in city network","authors":"Takashi Nagatani","doi":"10.1016/j.physa.2025.130414","DOIUrl":"10.1016/j.physa.2025.130414","url":null,"abstract":"<div><div>Crossing effects have not been considered in conventional large-scale macroscopic transportation network models. A large-scale macroscopic network model for vehicular flow is presented to take into account the crossing effect. We consider a simple directed network in which multiple y-directional roads cross a single x-directional road. Crossing y-directional roads interact with x-directional road through crossings. When a bottleneck or a blockage is set in city traffic network, traffic jams are formed and propagate in the transportation network through crossings. We show how jams propagate through crossings in the directed network. Jams are localized at a low mean density, extend over the network with increasing mean density, propagate towards the whole network at a high mean density, and major jams occur by chain reaction. It is shown how the extension of jams over the network changes with the mean density and the position of the bottleneck. The fundamental diagrams (flow-density relationship) are derived. Successive jamming transitions by chain reaction occur when the blockage is set.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130414"},"PeriodicalIF":2.8,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128383","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
Critical phenomena in a spin-1/2 Baxter–Wu triangular multilayers with Ising-like coupling
IF 2.8 3区 物理与天体物理
Physica A: Statistical Mechanics and its Applications Pub Date : 2025-01-27 DOI: 10.1016/j.physa.2025.130397
L.N. Jorge , L.S. Ferreira , Claudio J. DaSilva , A.A. Caparica
{"title":"Critical phenomena in a spin-1/2 Baxter–Wu triangular multilayers with Ising-like coupling","authors":"L.N. Jorge ,&nbsp;L.S. Ferreira ,&nbsp;Claudio J. DaSilva ,&nbsp;A.A. Caparica","doi":"10.1016/j.physa.2025.130397","DOIUrl":"10.1016/j.physa.2025.130397","url":null,"abstract":"<div><div>Our research focuses on the creation of a 3D layered system model that adheres to a three-spin Baxter–Wu-like interaction. To address the phase transition problem, we use entropic sampling simulations to construct the density of states and analyze various quantities such as the total magnetization, average energy, magnetic susceptibility, energy probability distribution function, and inverse microcanonical temperature. Once we established that the system undergoes a first-order phase transition, we carried out a finite-size scaling procedure by carefully studying the critical behavior of the minimum temperature of cumulants for energy and magnetization. We also computed the pseudocritical temperature, <span><math><mrow><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub><mrow><mo>(</mo><mi>L</mi><mo>)</mo></mrow></mrow></math></span>, which is the temperature where the energy density probability distribution has a double peak. Based on our analysis, we were able to obtain an estimation of the transition temperature as <span><math><mrow><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>≈</mo><mn>3</mn><mo>.</mo><mn>94</mn></mrow></math></span> and the latent heat value <span><math><mrow><mi>Δ</mi><mi>E</mi><mo>≈</mo><mn>1</mn><mo>.</mo><mn>2</mn></mrow></math></span> at this point.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"661 ","pages":"Article 130397"},"PeriodicalIF":2.8,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143128222","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
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信