The European Physical Journal B最新文献

{"title":"Structural, optical, electrochemical and photocatalytic properties of Ni-doped ZnO nanoparticles","authors":"A. Suvitha,&nbsp;R. Arunkumar,&nbsp;L. Bruno Chandrasekar,&nbsp;P. Shunmuga Sundaram","doi":"10.1140/epjb/s10051-026-01271-7","DOIUrl":"10.1140/epjb/s10051-026-01271-7","url":null,"abstract":"<div><p>Nickel-doped zinc oxide nanoparticles are successfully synthesized using the chemical precipitation method. Structural, optical, electrochemical, and photocatalytic properties of the prepared nanoparticles are investigated. X-ray diffraction analysis confirms the hexagonal Wurtzite structure. The crystallite size is found to decrease from 34 to 20 nm with increasing nickel content. The increased dislocation density and micro-strain indicate enhance lattice distortion. Lattice parameters and bond length exhibit slight variations without secondary phase formation. Energy-dispersive X-ray spectroscopy mapping confirms the uniform distribution of the elements. UV–Vis reflectance spectra show a shift in the absorption edge. The range of band gap of the prepared material is 3.20–3.25 eV. The prepared material is used as an electrode material in the supercapacitors and the corresponding specific capacitance is calculated. The degradation of the organic pollutant with the prepared nanoparticles as a catalyst is reported. The degradation efficiency and kinetic rate constants are examined. The pseudo-first-order rate constant for methylene blue increases from 0.0105 to 0.01964/min, while for Rhodamine B, it increases from 0.00955 to 0.01483/min as the nickel doping concentration is increased from 0 to 6%.</p><h3>Graphical abstract</h3>\u0000<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 10","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132526","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}

{"title":"Topological foundation for the steady-state hypothesis in generalized modeling","authors":"Andrea Afify,&nbsp;Hector Eduardo Roman","doi":"10.1140/epjb/s10051-026-01264-6","DOIUrl":"10.1140/epjb/s10051-026-01264-6","url":null,"abstract":"<p>Generalized modeling provides a powerful framework for the local analysis of broad classes of nonlinear dynamical systems without fixing specific functional forms. A foundational step in this approach is the assumption that a steady state exists, followed by the normalization of the state variables and the construction of the Jacobian in terms of generalized parameters. In this paper, we provide a rigorous justification for this assumption across a broad class of finite-dimensional models. Under natural boundary sign conditions on a compact hyperrectangle, the Poincaré–Miranda theorem guarantees the existence of at least one steady state. We demonstrate how these conditions can be routinely verified in compartmental systems via donor-vanishing and upper-face dominance criteria and we derive a Brouwer-degree refinement that establishes topological robustness under admissible perturbations when the boundary inequalities are strict. The general theory is illustrated using representative examples from physics and biology, including a two-patch metapopulation model, an open SEIR system with immigration and a coupled-laser model. Together, these results provide a rigorous topological foundation for the steady-state hypothesis commonly used in generalized modeling, offering a highly practical criterion for verifying it in applications.</p><p>Under natural boundary sign conditions on a compact hyper rectangle, the Poincaré–Miranda theorem guarantees the existence of at least one steady state <span>(x^*)</span> in generalized gain-loss dynamical systems without requiring specific functional forms. The inward-pointing components of the vector field along opposite boundary faces (<span>(f_i ge 0)</span> on lower faces <span>(F_i^-)</span> and <span>(f_i le 0)</span> on upper faces <span>(F_i^+)</span>) provide a rigorous, model-independent topological foundation and degree-theoretic robustness for the steady-state hypothesis across physical, ecological, and epidemiological networks</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 10","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjb/s10051-026-01264-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}

{"title":"Dynamics of opinion-disease coevolution in complex networks","authors":"Lu Ke,&nbsp;Yueying Zhu,&nbsp;Jian Jiang,&nbsp;Jie Liu","doi":"10.1140/epjb/s10051-026-01270-8","DOIUrl":"10.1140/epjb/s10051-026-01270-8","url":null,"abstract":"<p>Against the backdrop of infectious disease outbreaks, individual-level opinions, contact behaviors, and disease transmission processes exhibit strong dynamic coupling. To clarify how opinion-driven contact formation shapes this coupled process, we propose a coevolution model on a two-layer network consisting of an opinion layer and a disease layer. The opinion layer describes information diffusion and opinion evolution, whereas the disease layer represents physical contacts and serves as the substrate for disease transmission. Different from existing models that assume static contact structures or neglect adaptive behavioral responses, our model establishes a bidirectional coupling between opinion evolution and disease transmission. This coupling is realized by an opinion-dependent contact formation mechanism that considers both individual opinions and pairwise similarity. Based on Monte Carlo simulations, we find that opinion-driven contact behavior suppresses and delays the epidemic peak, while reshaping the evolution of collective opinions. The infection rate primarily determines epidemic intensity, whereas the bounded confidence threshold controls the effective interaction range among individuals and thereby influences both opinion clustering and disease propagation. More importantly, the contact formation parameter governs the balance between opinion similarity and individual propensity in contact decisions. These findings reveal how opinion-driven contact formation links social cognition and disease transmission and shapes their coevolution in complex social systems.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 10","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098666","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}

{"title":"Coulomb and electron–phonon interactions and doping effects in (text {KNi}_2text {Se}_2) crystal","authors":"L. Craco,&nbsp;S. Leoni","doi":"10.1140/epjb/s10051-026-01278-0","DOIUrl":"10.1140/epjb/s10051-026-01278-0","url":null,"abstract":"<p>Using density functional theory combined with dynamical mean-field theory (DFT+DMFT), we explore the correlated electronic structure of the <span>(text {KNi}_2text {Se}_2)</span> superconductor and analyze how its paramagnetic normal state spectra is modified by electron–electron interactions and electron/hole doping. We demonstrate the emergence of orbital selectivity, characterized by the coexistence of Mott-localized states, pseudogapped spectral features, and narrow Kondo-like quasiparticle excitations. In addition, we investigate the interplay between on-site Coulomb interactions and electron–phonon coupling in both pristine and doped <span>(text {KNi}_2text {Se}_2)</span>. Our results reveal that the combination of these interactions gives rise to low-energy electron bound states. These findings provide microscopic insight into the heavy-electron normal state of <span>(text {KNi}_2text {Se}_2)</span> and contribute to a deeper understanding of the coupled roles of dynamical electronic correlations, electron–phonon interactions, and band filling in shaping the normal state properties of unconventional multi-orbital superconductors.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 10","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjb/s10051-026-01278-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}

{"title":"Machine-learning-guided inverse design of Anderson localization in one-dimensional chains with multi-scale correlated disorder","authors":"Mohammad Pouranvari","doi":"10.1140/epjb/s10051-026-01276-2","DOIUrl":"10.1140/epjb/s10051-026-01276-2","url":null,"abstract":"<p>We study localization control in a one-dimensional tight-binding chain with diagonal disorder whose spatial correlations are governed by one or two exponential length scales. The main objective is not only to characterize localization, but to develop an interpretable machine-learning framework for <i>inverse design</i>: given a desired transport or localization behavior, the method identifies disorder profiles that realize it. We compare three disorder ensembles: uncorrelated disorder, single-scale exponentially correlated disorder, and a two-scale correlated ensemble with correlation function <span>(C(r)=a_1 e^{-r/xi _1}+a_2 e^{-r/xi _2})</span>, where <span>(a_1+a_2=1)</span>. Exact diagonalization is used to compute central-window eigenstate observables, including the participation ratio normalized by system size, <span>(textrm{PR}/N)</span>, and the localization length normalized by system size, <span>(ell _{textrm{loc}}/N)</span>. Even with a second, independently tunable correlation scale, we find no signature of a genuine localization-delocalization transition: dedicated finite-size scaling up to <span>(N=1024)</span> shows no size-independent crossing point, so the correlation-length and weight dependence remains a smooth, monotonic crossover throughout the exponential-correlation family rather than a critical phenomenon. A central outcome of the work is a machine-learning surrogate and inverse-design workflow. An ensemble ExtraTrees regressor learns the mapping from disorder parameters and system size to the normalized logarithmic observables, achieving <span>(R^2approx 0.98)</span> on held-out data for the two targets (<span>(R^2approx 0.980)</span> for the normalized participation ratio and <span>(R^2approx 0.979)</span> for the normalized localization length; Sect. 3). The surrogate provides smooth interpolation of the high-dimensional parameter space, uncertainty estimates, SHAP-based feature attribution, and a fast inverse-design search for disorder profiles that maximize localization (the framework is equally applicable to a delocalization objective, though only the localization-maximizing search is reported here). The analysis shows that the scaled correlation lengths and the disorder-weight asymmetry are the dominant controls on transport, and that the strongest localization is realized by short-range-dominated disorder at the edge of the sampled correlation-length range, consistent with the general expectation that weakly correlated disorder localizes most strongly. This combination of exact diagonalization, interpretable machine learning, and inverse design establishes a practical framework for designing and controlling localization in low-dimensional quantum systems.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 10","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098112","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}

{"title":"Enhanced methane adsorption and dissociation on Co-doped VO(_{2})(110) surface: a DFT + U study","authors":"S. E. Boungou,&nbsp;C. L. Malonga Matanou,&nbsp;A. L. Okana-Lomanga,&nbsp;B. R. Malonda-Boungou,&nbsp;A. T. Raji,&nbsp;P. S. Moussounda","doi":"10.1140/epjb/s10051-026-01268-2","DOIUrl":"10.1140/epjb/s10051-026-01268-2","url":null,"abstract":"<p>We report first-principles density-functional theory (DFT with Hubbard <i>U</i>) investigation of the adsorption and dissociation mechanisms of CH<span>(_{4})</span> on the VO<span>(_{2})</span> surface. We have considered three types of VO<span>(_{2})</span> surfaces, namely, the pristine defect-free, oxygen vacancy, and co-doped VO<span>(_{2})</span>(110) surfaces. The doped surface is identified as the most suitable for CH<span>(_{4})</span> dissociation reaction due to enhanced stability of atomic and molecular radicals involved in the proposed CH<span>(_{4})</span> dissociation reaction. We obtained adsorption, dissociation, and interaction energies, as well as the reaction enthalpies of the dissociation intermediates. These parameters were used to identify the energetically most favorable reaction pathway for CH<span>(_{4})</span> dissociation via the thermochemistry approach. Four possible reaction pathways were considered: CH<span>(_{4})</span> <span>(rightarrow )</span> CH<span>(_{3})</span> + H; CH<span>(_{4})</span> <span>(rightarrow )</span> CH<span>(_{2})</span> + 2H; CH<span>(_{4})</span> <span>(rightarrow )</span> CH + 3H; and CH<span>(_{4})</span> <span>(rightarrow )</span> C + 4H. Based on the reaction enthalpy (<span>(Delta H)</span>), we found that the pathways CH<span>(_{4})</span> <span>(rightarrow )</span> CH<span>(_{3})</span> + H and CH<span>(_{4})</span> <span>(rightarrow )</span> C + 4H are energetically favorable with <span>(Delta )</span>H of −0.16 eV and −2.58 eV, respectively. In contrast, the reaction pathways CH<span>(_{4})</span> <span>(rightarrow )</span> CH<span>(_{2})</span> + 2H and CH<span>(_{4})</span> <span>(rightarrow )</span> CH + 3H are endothermic with positive <span>(Delta H)</span>, suggesting that the dissociation pathways are energetically unfavorable. Electronic structure analysis shows charge transfer from the adsorbed species to the surface and hybridizations of <i>p</i> orbitals of C and O, and Co-<i>d</i> and C-<i>p</i> orbitals. Charge transfer and hybridization are the electronic origin of the stability of the dissociated or adsorbed products. Our study demonstrates that Co doping enhances the catalytic dissociation of CH<span>(_{4})</span> on the VO<span>(_{2} )</span>(110) surface thus underlying the role of defect engineering via metal doping in surface catalysis while also proposing Co-doped VO<span>(_{2} )</span>(110) surface as a promising candidate material for CH<span>(_{4})</span> dissociation and hydrogen production.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 10","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098194","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}

{"title":"Effective-time bilinear neural construction of lump-stripe and lump solutions for a variable-coefficient ANNV equation","authors":"Junjie Li,&nbsp;Pei Lin,&nbsp;Changlong Chen,&nbsp;Zhenqiang Zhou","doi":"10.1140/epjb/s10051-026-01263-7","DOIUrl":"10.1140/epjb/s10051-026-01263-7","url":null,"abstract":"<p>Variable coefficients can substantially alter the propagation of localized nonlinear waves, but bilinear neural constructions with fixed biases do not readily accommodate time-dependent couplings. We develop a variable-coefficient bilinear neural network method for the (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov equation under the integrable reduction <span>(b(t) = d(t))</span>. Hirota coefficient matching determines the time-dependent symbolic parameters and organizes the coefficient dependence through an effective time <i>I</i>(<i>t</i>). A fixed tau-function architecture with two quadratic neurons and one exponential neuron yields an exact lump-stripe solution and, after removing the exponential branch, a pure lump. The effective time determines their trajectories. The coefficient ratios considered here produce uniform propagation, periodic retracing, and direction reversal. Independent integration of the governing PDE reproduces the analytical pure-lump evolution in the tested constant- and variable-coefficient cases and quantifies its finite-time response to prescribed small perturbations. Together, the analytical and numerical results show how prescribed coefficient modulation controls localized wave kinematics within a fixed symbolic tau-function architecture.</p><p>Under <span>(b(t) = d(t))</span>, the prescribed coefficient functions determine the effective time <i>I</i>(<i>t</i>), which controls the coefficient-dependent phase shifts and exponential amplitude in a fixed tau-function architecture. Hirota coefficient matching then yields exact lump-stripe and pure-lump solutions of the variable-coefficient ANNV equation </p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 10","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098193","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}

{"title":"Stabilization of skyrmion crystals by high-harmonic wave-vector interactions in uniaxially distorted tetragonal noncentrosymmetric magnets","authors":"Satoru Hayami","doi":"10.1140/epjb/s10051-026-01267-3","DOIUrl":"10.1140/epjb/s10051-026-01267-3","url":null,"abstract":"<p>We investigate the stabilization of skyrmion crystals in uniaxially distorted tetragonal noncentrosymmetric magnets by employing an effective momentum-space spin model formulated on a square lattice and incorporating the Dzyaloshinskii–Moriya interaction. Using simulated annealing, we construct low-temperature phase diagrams and analyze the corresponding real-space and momentum-space spin textures together with the scalar spin chirality. We show that the skyrmion crystal stabilized by the superposition of two orthogonal spin modulations remains robust over an intermediate magnetic-field range, but its stability is suppressed when uniaxial distortion enhances the imbalance between the two fundamental ordering wave-vector directions. The skyrmion crystal gradually deforms into an anisotropic rectangular lattice and eventually disappears through a topological transition into a single-<i>Q</i> tilted conical spiral state. We further demonstrate that interactions associated with high-harmonic wave vectors play a crucial role in counteracting this destabilization. Strengthening these high-harmonic wave-vector interactions enlarges the stability region of the skyrmion crystal. Our findings clarify how uniaxial distortion and high-harmonic wave-vector interactions cooperate and compete in determining the stability of skyrmion crystals, and they suggest practical routes for tuning topological spin textures in tetragonal noncentrosymmetric magnets.</p><p>Low-temperature phase diagram of the model Hamiltonian. SkX denotes the skyrmion crystal, with its real-space spin configuration shown in the right panel.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 9","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133041","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}

{"title":"Nonlinear stage of modulation instability in the Kundu–Eckhaus equation: excitation of super-regular breathers","authors":"Bo-Jie Deng,&nbsp;Hui-Qin Hao,&nbsp;Jian-Wen Zhang","doi":"10.1140/epjb/s10051-026-01258-4","DOIUrl":"10.1140/epjb/s10051-026-01258-4","url":null,"abstract":"<p>We investigate the nonlinear stage of modulation instability (MI) in the Kundu–Eckhaus (KE) equation, specifically focusing on the complex dynamics triggered by localized perturbations upon a continuous-wave background. By utilizing the inverse scattering transform, we quantitatively relate these perturbations to a non-empty discrete spectrum associated with the generation of super-regular breathers (SRBs). In stark contrast to the symmetric evolution observed in the standard nonlinear Schrödinger (NLS) equation, the presence of higher-order nonlinear effects inherently breaks the spatial parity symmetry of the wave evolution. This symmetry breaking induces a pronounced and collective spatial tilt in both the diverging SRBs and the internal oscillation structures. Based on the MI growth of the localized seed, we derive an analytical estimate for the SRB boundary velocities. We show that the SRB boundary velocities consist of a common parameter-dependent shift, which causes the collective tilt, and opposite MI-driven components that govern the relative separation of the two SRB branches. The analytical predictions are in good agreement with direct numerical simulations. These findings provide a clear physical understanding of how higher-order nonlinearities govern the asymmetric wave evolution during the nonlinear stage of MI.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 9","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132953","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}

{"title":"Dynamical analysis, chaotic behavior and soliton solutions of the generalized unstable space–time fractional nonlinear Schrödinger equation","authors":"Chunxia Wang,&nbsp;Yanfei He,&nbsp;Na Cao,&nbsp;Xiaojun Yin","doi":"10.1140/epjb/s10051-026-01261-9","DOIUrl":"10.1140/epjb/s10051-026-01261-9","url":null,"abstract":"<div><p>The main objective of this work is to obtain soliton solutions, perform dynamical analysis for the generalized unstable space–time fractional nonlinear Schrödinger equation, and investigate chaotic dynamics of its perturbed reduced dynamical system. First, a traveling wave transformation is applied to convert the governing equation into a two‑dimensional planar dynamical system. Second, the bifurcation of the dynamical system is analyzed using the theory of planar dynamical systems. Third, by introducing a perturbation term to the dynamical system, chaotic behavior is demonstrated through two‑dimensional and three‑dimensional phase portraits. A sensitivity analysis of the dynamical system is then carried out using the Runge–Kutta method. Furthermore, chaos of the perturbed system is detected and characterized using recurrence plots, power spectra, Poincaré sections, fractal dimensions, time series of state variables, fractal phase‑space structures, and Lyapunov exponent curves. Finally, the planar dynamical system approach is employed to derive explicit dark and bright soliton solutions for the original fractional model.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 9","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132937","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}