物理最新文献

{"title":"Study on the interface bond properties of the Cu-PET composite current collector","authors":"Yunhe Fu,&nbsp;Yuanhua Xie,&nbsp;Ming Hao,&nbsp;Xianhang Lu,&nbsp;Huatian Wang,&nbsp;Yaoshuai Ba,&nbsp;Kun Liu","doi":"10.1007/s00339-026-10338-2","DOIUrl":"10.1007/s00339-026-10338-2","url":null,"abstract":"<div><p>Compared with traditional metal current collectors used in lithium-ion batteries, the composite current collector (CCC) offers several advantages, including enhanced safety, high energy density, reduced cost, and extended service life, and has attracted significant attention from both industry and academia. However, because the CCC is a polymer-metal layered structure, the materials on either side of the interface have distinctly different properties, which can compromise interface stability and introduce safety risks during battery operation. Therefore, theoretical calculations and molecular dynamics simulations were used in this study to investigate the interface bond properties of the copper (Cu)-polyethylene terephthalate (PET) CCC. The effects of PET substrate polymerization degree, ambient temperature, tensile speed and Cu film thickness on the interface bond properties of the Cu-PET CCC were investigated to reveal the intrinsic interface damage mechanism, and the methods to enhance the interface bond properties were further explored. These results provide a valuable reference for the practical application of the CCC.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Transparent conductive Al-doped ZnO thin films with enhanced UV attenuation","authors":"Mahiman Bansal,&nbsp;Ansh Vardhan,&nbsp;Sai Karthik Karnati,&nbsp;Shweta Singh,&nbsp;Tribhuvan Kushwaha,&nbsp;Satyam Sinha,&nbsp;Dharnesh Alamanda,&nbsp;Ashritha Salian,&nbsp;Pavan Pujar","doi":"10.1007/s00339-026-10315-9","DOIUrl":"10.1007/s00339-026-10315-9","url":null,"abstract":"<div><p>Transparent conductive thin films that synchronously offer electrical conductivity, visible light transparency, and ultraviolet (UV) attenuation are becoming more popular for UV-shielding coatings, smart windows technologies, and next-generation optoelectronic devices. Indium tin oxide (ITO) remains one of the most widely used transparent conducting oxides because of its superior optoelectronic performance; nevertheless, its reliance on scarce indium and comparatively large optical bandgap drive the development of transparent conductive materials free of indium that have adjustable optical characteristics. In this work, Al-doped ZnO (AZO) thin films were developed using an economical deposition method to modify their optical and electrical properties for effective UV attenuation. The developed AZO films showed excellent transparency in the visible spectrum, an optical bandgap of around ~ 3.27 eV, and an electrical conductivity of about ~ 15 ± 5.17 S.cm^− 1. The film showed an average transmittance of 44.44% in the UV region (190–400 nm), indicating a substantial reduction in UV transmission. Changes in the optical response, including the enhanced UV attenuation were observed and was associated with the changes in the electronic structure brought on by Al incorporation and oxygen-vacancy-related defects. To directly assess the shielding performance, a real-time, in-house UV-intensity monitoring system was developed and utilized to quantify the transmitted UV radiation through the films. The AZO coatings demonstrated a measurable decrease in the transmitted UV intensity, highlighting the potential of bandgap-engineered, indium-free transparent conductive films for applications requiring simultaneous optical transparency, electrical conductivity, and UV attenuation.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Evaluating gamma-ray induced defect dynamics in HB-grade pencil graphite for radiotherapy-relevant dosimetry: an ESR and structural study","authors":"Duygu Ahi̇,&nbsp;Özgül Karataş","doi":"10.1007/s00339-026-10330-w","DOIUrl":"10.1007/s00339-026-10330-w","url":null,"abstract":"<div><p>The present work evaluates the dosimetric properties of commercial HB-grade pencil graphite (2 mm diameter) by analyzing radiation-induced paramagnetic defects in the radiotherapy-relevant dose range. For this purpose, HB pencil lead graphite was ground into a fine powder (20–100 μm) and then exposed to ⁶⁰Co gamma radiation at clinical radiotherapy levels ranging from 0 to 20 Gy. The structural and magnetic alterations were characterized using X-ray diffraction (XRD), Raman spectroscopy, scanning electron microscopy with energy-dispersive X-ray spectroscopy (SEM-EDS), and temperature-dependent X-band electron spin resonance (ESR) spectroscopy (20–300 K). XRD analysis confirmed the stability of the long-range graphitic lattice post-irradiation, while Raman spectroscopy showed evidence of radiation-induced structural disorder. ESR spectra exhibited a narrow Lorentzian signal, consistent with localized paramagnetic centers associated with the heterogeneous graphite-clay composite. Low-temperature ESR measurements revealed Curie-type paramagnetism, with line broadening at lower temperatures suggesting strong dipole-dipole interactions between localized spins. Additionally, gamma exposure induced systematic variations in both the ESR g-factor and spectral linewidth. Furthermore, a linear dose-response relationship was observed over the investigated dose range, with R² ≈ 0.99 between the ESR signal intensity and the absorbed gamma dose. Consequently, the investigated graphite-clay composite shows potential for further dosimetric investigation, provided that future studies address the native background and broader statistical validation.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dual response of polarisation and magnetisation in MoS₂/Sr-hexaferrite incorporated PVDF composites as EMI shielding material","authors":"Mousumi Pramanik,&nbsp;Aliva Saha,&nbsp;Tanmay Kundu,&nbsp;Suman Saha,&nbsp;Tanmoy Chakraborty,&nbsp;Sukhen Das,&nbsp;Kaustuv Das,&nbsp;Soumyaditya Sutradhar","doi":"10.1007/s00339-026-10275-0","DOIUrl":"10.1007/s00339-026-10275-0","url":null,"abstract":"<div><p>This research investigates EMI shielding performance of molybdenum disulfide (MoS₂) and strontium (Sr) hexaferrite binary fillers embedded polyvinylidene fluoride (PVDF) composite materials in the X-band frequency range (8–12 GHz). The MoS₂ was achieved via hydrothermal methods, while, Sr-hexaferrite were synthesized using sol-gel process. The laminated composites of Sr-hexaferrite-MoS₂ binary fillers incorporated PVDF were prepared by solution casting method. Comprehensive characterizations of the Sr-hexaferrite-MoS₂-PVDF composite materials were conducted using X-ray diffraction (XRD), field emission scanning electron microscopy (FESEM) vibrating sample magnetometry (VSM) and dielectric spectroscopy. The coupled response of magnetic and dielectric behavior of Sr-hexaferrite-MoS₂ binary fillers in PVDF matrix was invstigated by magnetodielectric study. The EMI shielding effectiveness study demonstrated that the Sr-hexaferrite-MoS₂-PVDF composite materials achieved a maximum total shielding effectiveness (SE_T) of -71.47 dB, with absorption (SE_A) being the predominant mechanism. The results suggest that the coupled effects of magnetic and dielctric response of Sr-hexaferrite-MoS₂ binary fillers incorporated PVDF composite system lead to enhanced EMI shielding, making these composite materials highly suitable to combat against EMI effect and EM pollution.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Multifunctional Sm₂O₃/Er₂O₃/ZnFe₂O₄ nanocomposites with tunable magnetic, electrochemical, and biological properties","authors":"Ala Manohar,&nbsp;Thirukachhi Suvarna,&nbsp;Panchanathan Manivasagan,&nbsp;Eue-Soon Jang,&nbsp;Amjad A. Almunyif,&nbsp;Ki Hyeon Kim","doi":"10.1007/s00339-026-10318-6","DOIUrl":"10.1007/s00339-026-10318-6","url":null,"abstract":"<div><p>Sm₂O₃/Er₂O₃/ZnFe₂O₄ nanocomposites were successfully fabricated through calcination at 700–900 °C and labeled SEZ-1, SEZ-2, and SEZ-3. XRD and TEM analyses confirmed the development of highly crystalline multiphase nanocomposites consisting of ZnFe₂O₄, Sm₂O₃, and Er₂O₃, without evidence of impurity or undesired secondary phases. FESEM observations further demonstrated the formation of relatively uniform morphologies and homogeneous compositional distributions. The microscopic analyses revealed agglomerated particles with calcination-temperature-dependent variations in particle size, together with a well-distributed elemental composition. Nitrogen adsorption–desorption measurements indicated mesoporous surface characteristics, with the samples exhibiting distinct surface areas and SEZ-1 providing the highest accessible porosity. XPS investigations confirmed the presence of the constituent elements in their respective oxidation states and revealed pronounced M-O bonding environments. Magnetic measurements showed that SEZ-3 attained the highest magnetization, which can be associated with its enhanced crystallinity and improved structural ordering at the higher calcination temperature. Electrochemical studies revealed that charge storage was mainly governed by pseudocapacitive processes. Among the samples, SEZ-3 exhibited improved charge-transfer kinetics and a greater capacitive contribution, whereas SEZ-1 achieved the highest specific capacitance (Cs), which can be related to its favorable porous characteristics and larger accessible surface area. In addition, the nanocomposites demonstrated good compatibility with both normal mouse muscle fibroblast (BLO-11) and human pancreatic carcinoma (PANC-1) cell lines, highlighting their suitability for multifunctional applications.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamical mass generation and critical behavior in pseudo-Proca quantum electrodynamics","authors":"Helio G. Barroso,&nbsp;Van Sérgio Alves,&nbsp;Leandro O. Nascimento","doi":"10.1140/epjc/s10052-026-16453-x","DOIUrl":"10.1140/epjc/s10052-026-16453-x","url":null,"abstract":"<div><p>We investigate dynamical mass generation in pseudo-Proca quantum electrodynamics (PPQED) using Schwinger–Dyson equations in rainbow-quenched and unquenched truncations. The pseudo-Proca screening scale <i>m</i>, together with the fine-structure constant <span>(alpha )</span>, the flavor number <i>N</i>, and the ultraviolet cutoff <span>(varLambda )</span>, controls the critical thresholds for chiral symmetry breaking in the reduced <span>((2 + 1))</span>D theory. Within these truncation schemes, we obtain analytical estimates for both the critical coupling <span>(alpha _c(m,varLambda ))</span> and the critical number of fermion flavors <span>(N_c(m,varLambda ,g))</span>, and show that increasing <i>m</i> suppresses dynamical mass generation through Yukawa screening. We further assess the robustness of this physical picture by incorporating a Ball–Chiu vertex construction; our results show that while vertex corrections modify the quantitative values of the critical parameters, they preserve the qualitative screening-driven suppression of dynamical mass generation. In addition, within the static approximation, our anisotropic extension shows that the critical coupling is a monotonically decreasing function of the ratio <span>(v_F/c)</span>. Taken together, our results suggest that the scale <i>m</i> plays an important role in modulating criticality in PPQED.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 10","pages":""},"PeriodicalIF":4.9,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-026-16453-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Prospects for ({K_L rightarrow pi ^0nu bar{nu }}), (K_Srightarrow mu ^+mu ^-), (K_Lrightarrow pi ^0 ell ^+ell ^-) and (varepsilon '/varepsilon ) after the new ({K^+ rightarrow pi ^+nu bar{nu }}) result from NA62","authors":"Monika Blanke,&nbsp;Andrzej J. Buras,&nbsp;Cristina Lazzeroni,&nbsp;Joel C. Swallow","doi":"10.1140/epjc/s10052-026-16418-0","DOIUrl":"10.1140/epjc/s10052-026-16418-0","url":null,"abstract":"<div><p>The recently announced NA62 measurement of the <span>({K^+ rightarrow pi ^+nu bar{nu }})</span> branching ratio, based on 2016–2024 data, is fully consistent with its very accurate Standard Model (SM) prediction. While it is not excluded that the final result based on 2016–2026 data will deviate from the SM prediction, the question arises whether a similar fate awaits the <span>({K_L rightarrow pi ^0nu bar{nu }})</span> decay. This decay is currently being searched for by the KOTO experiment, with the present upper bound roughly two orders of magnitude above its very precise SM prediction. The proposed KOTO II experiment aims to provide the first discovery of the <span>({K_L rightarrow pi ^0nu bar{nu }})</span> decay and measure its branching ratio. Building on the findings of several previous papers we demonstrate that in the presence of suitably chosen large new complex phases and of a small amount of new right-handed <span>(bar{s} d)</span> couplings, in addition to the left-handed ones, the <span>({K_L rightarrow pi ^0nu bar{nu }})</span> branching ratio can still be enhanced by one order of magnitude with respect to the SM prediction while keeping both <span>({K^+ rightarrow pi ^+nu bar{nu }})</span> and <span>(varepsilon _K)</span> SM-like. Simultaneously the decays <span>(K_Srightarrow mu ^+mu ^-)</span>, studied by LHCb, and <span>(K_Lrightarrow pi ^0ell ^+ell ^-)</span>, searched for by KOTO II, can be strongly enhanced and the anomaly in the ratio <span>(varepsilon '/varepsilon )</span>, as claimed by Dual QCD, removed. We illustrate this with an example of a specific <span>(Z^prime )</span> scenario.\u0000</p></div>","PeriodicalId":788,"journal":{"name":"The European Physical Journal C","volume":"86 10","pages":""},"PeriodicalIF":4.9,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13661685/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149178559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Experimental investigation and Box–Behnken analysis of radially graded concentric diamond lattice structures fabricated by vat photopolymerization","authors":"Muhammet Mevlüt Karaca","doi":"10.1007/s00339-026-10345-3","DOIUrl":"10.1007/s00339-026-10345-3","url":null,"abstract":"<div><p>Radially graded concentric Diamond lattice structures were fabricated by vat photopolymerization, and the effects of the regional unit cell size distribution on their energy absorption and deformation behavior were investigated. The unit cell sizes of the inner, middle and outer concentric regions were varied independently at 5, 7.5 and 10 mm according to a three-factor Box–Behnken design, and 15 configurations were printed from an ABS-like photopolymer resin, with three specimens per configuration, and tested under quasi-static compression. Energy absorption (EA) and specific energy absorption (SEA) were evaluated using a fixed-strain approach at 50% strain, and at 60% and 70% strain as a sensitivity analysis. The relative density of the configurations ranged from 24.2% to 45.1%, and EA at 50% strain varied between 29.3 and 65.0 J, increasing with relative density (R² = 0.88), whereas SEA remained within 4.26–5.51 J/g. The load drops in the plateau region were associated with brittle wall fracture, splitting and localized collapse. Response surface models showed that EA was mainly governed by the middle and outer cell sizes, which had effects of similar magnitude (R² = 96.8%, predicted R² = 89.9%), whereas the middle cell size was the only significant factor for SEA (R² = 82.2%, predicted R² = 69.6%). These results indicate that the effect of the inner and outer regions on EA is largely related to the amount of material, while the middle-region cell size also affects the mass-normalized energy absorption. The significant factors remained unchanged at all three strain limits.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Influence of copper molar ratio on the structural, optical, electrical, and photoconductive properties of sol–gel spin-coated Cu2BaSnS4 thin films","authors":"M. J. Thamer,&nbsp;Nabeel Ali Bakr,&nbsp;Kiran Dasharath Diwate","doi":"10.1007/s00339-026-10340-8","DOIUrl":"10.1007/s00339-026-10340-8","url":null,"abstract":"<div><p>Earth-abundant trigonal Cu₂BaSnS₄ (CBTS) thin films were fabricated via a low-cost sol–gel spin-coating route to evaluate the influence of copper molar ratios (1.8, 2.0, and 2.2 for samples A1, A2, and A3, respectively) on their physical and optoelectronic transport properties. X-ray diffraction (XRD) and Raman spectroscopy confirmed the formation of polycrystalline trigonal CBTS across all films alongside varying proportions of binary secondary phases (SnS₂ and SnS), with sample A2 (Cu = 2.0) exhibiting minimized secondary phase contributions, whereas sample A3 (Cu = 2.2) revealed enhanced phase segregation including Cu₂S. Increasing the copper molar ratio promoted crystallite growth from 29.65 to 58.30 nm while reducing the dislocation density from 1.14 × 10¹⁵ to 0.29 × 10¹⁵ m^− 2. Quantitative FE-SEM ImageJ statistical analysis (<i>N</i> = 35) demonstrated a progressive enlargement in mean grain size from 46.76 ± 5.79 nm (A1) to 65.09 ± 11.10 nm (A3). UV–Vis spectroscopy revealed a direct optical bandgap broadening from 1.92 to 2.25 eV, driven by the Burstein–Moss shift and the formation of the wide-bandgap SnS₂ secondary phase, with sample A2 achieving a minimum Urbach energy of 210 meV, indicating lowest localized band-tail disorder. Hall effect measurements verified intrinsic p-type conductivity across all samples, with carrier density rising from 6.2 × 10¹⁷ to 3.1 × 10¹⁸ cm^− 3 and maximum electrical conductivity reaching 0.547 (Ω.cm)⁻¹. Sample A2 achieved the highest Hall mobility (3.1 cm²/V.s) and optimal photoconductive response under Tungsten-halogen illumination (100 mW/cm²), yielding a maximum photoconductive gain of 3.1 and a photoconductivity of 1.3 × 10^− 3 S. cm^− 1. These findings demonstrate that optimizing the copper molar ratio to 2.0 (sample A2) achieves an ideal balance between secondary phase suppression, structural ordering, and photo-carrier generation, highlighting the strong potential of CBTS thin films as eco-friendly absorber layers for advanced photovoltaic applications.</p></div>","PeriodicalId":473,"journal":{"name":"Applied Physics A","volume":"132 11","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Biswas–Chatterjee–Sen (BChS) kinetic exchange opinion model on modular networks","authors":"Hrishidev Unni,&nbsp;Soumyajyoti Biswas,&nbsp;Anirban Chakraborti","doi":"10.1140/epjb/s10051-026-01273-5","DOIUrl":"10.1140/epjb/s10051-026-01273-5","url":null,"abstract":"<p>We study opinion formation in a society where agents interact on a modular network generated using a stochastic block model (SBM). Opinion dynamics is modelled through the Biswas–Chatterjee–Sen (BChS) kinetic exchange model, in which agents undergo pairwise interactions that could be positive or negative. By tuning the relative strength of intra- and inter-group connectivity inherent to the SBM, as well as the disagreement probability, we identify distinct collective phases. In particular, we observe a robust regime with strong intra-group ordering but no global consensus, in addition to fully ordered and disordered states. In the particular case of two modules, we observe an anti-ferromagnetic type ordering with the increase of negative interaction between the groups. We investigate these ordering regimes using approximate analytical calculations and numerical simulations. These results demonstrate how modular interaction structure can qualitatively alter collective opinion dynamics and hinder consensus formation.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"99 10","pages":""},"PeriodicalIF":1.9,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189251","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}