Results in Physics最新文献

{"title":"Reverse percolation models for growing real-world networks","authors":"Tao Fu ,&nbsp;Caixia Zeng ,&nbsp;Liling Zou ,&nbsp;Chenguang Li","doi":"10.1016/j.rinp.2024.108088","DOIUrl":"10.1016/j.rinp.2024.108088","url":null,"abstract":"<div><div>Reverse percolation analyzes the overall connectivity of a network after the addition of nodes or edges at predefined probabilities, which parallels the significance and application potential of traditional percolation theory. This paper explores the intersection between reverse percolation and network growth. It discusses the addition of a set of new nodes and edges simultaneously, offering insight into two distinct scenarios: random attachment, where all potential new edges have equal occupation probability, and preferential attachment, where the occupation probability of a potential new edge is proportional to the degree of the original network node it connects to. Reverse percolation analytic models are developed for these scenarios to compute the spanning cluster fraction and the percolation threshold. The accuracy of these models are evaluated across multiple real-world networks. Furthermore, the possibility of generating scale-free networks through single-step node and edge additions based on the preferential attachment mechanism is investigated. The results reveal that the double-unknown generating-function-based model proposed in this paper ensures universal applicability and accurate prediction across both investigated scenarios. In the context of preferential attachment, the simultaneous addition of nodes and edges may always produce a proportion of networks exhibiting scare-free structures. However, irrespective of the emergence of scale-free properties, the connectivity status of these networks can be effectively predicted using the proposed reverse percolation model.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108088"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104999","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":"Exploring Anharmonicity-induced high thermoelectric performance in α-In2X3 (X=S, Se) monolayers","authors":"Victor José Ramirez Rivera ,&nbsp;Fredy Mamani Gonzalo ,&nbsp;Maurício Jeomar Piotrowski ,&nbsp;Efracio Mamani Flores","doi":"10.1016/j.rinp.2024.108080","DOIUrl":"10.1016/j.rinp.2024.108080","url":null,"abstract":"&lt;div&gt;&lt;div&gt;The growing interest in thermoelectric materials stems from their capability to convert thermal energy into electrical power, addressing critical challenges in sustainable energy generation and utilization. While maximizing the Seebeck coefficient is crucial, this can be achieved not solely by focusing on electrical conductivity, but rather through the reduction of lattice thermal conductivity (&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;κ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;l&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;), which is influenced by material anharmonicity. This ab initio study, based on density functional theory, investigates the thermoelectric properties of &lt;span&gt;&lt;math&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-In&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;S&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-In&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;Se&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; monolayers, through a detailed analysis of phonon modes, revealing that these materials exhibit low group velocities in acoustic (ZA, TA, LA) and optical modes, short phonon lifetimes, and high Grüneisen parameters, suggesting strong anharmonicity, especially at low frequencies. At room temperature, significantly low &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;κ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;l&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; values of 1.90 W m&lt;sup&gt;−1&lt;/sup&gt; K&lt;sup&gt;−1&lt;/sup&gt; and 0.56 W m&lt;sup&gt;−1&lt;/sup&gt; K&lt;sup&gt;−1&lt;/sup&gt; are predicted for &lt;span&gt;&lt;math&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-In&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;S&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-In&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;Se&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;, respectively, highlighting their potential for thermoelectric applications. Low-frequency optical modes play a dominant role in the total lattice thermal conductivity, contributing 41.54% and 36.78% in &lt;span&gt;&lt;math&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-In&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;S&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-In&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;Se&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;, respectively. This results in dimensionless figures of merit (&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;Z&lt;/mi&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;) reaching 1.12 and 2.30 at 900 K for &lt;span&gt;&lt;math&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-In&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;S&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;mi&gt;α&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-In&lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;Se&lt;span&gt;&lt;","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108080"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104500","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":"Valley-Hall slow-light waveguide states with dual-band in all-dielectric valley photonic crystals","authors":"Liu He,&nbsp;Jianquan Yao","doi":"10.1016/j.rinp.2024.108092","DOIUrl":"10.1016/j.rinp.2024.108092","url":null,"abstract":"<div><div>The slow-light waveguide states protected by topology could be used in strengthening interaction between light and matter, so they can be used for realizing a lot of unique physical optics phenomena and interesting applications. In this work, we consider a kind of all-dielectric valley photonic crystals (VPCs) with honeycomb lattice, realize dual-band photonic valley-Hall kink states at the stacking interface composed of two VPCs with mirror symmetry through breaking the parity-reversal symmetry of photonic system, such as low-frequency and high-frequency valley-Hall kink states. The valley-Hall kink states can be classified two categories: guided states and slow-light states, which depends on the magnitude of group index <em>n</em>_g. By full-wave simulations, we directly observe that the dual-band valley-Hall slow-light states are in a way of standing-wave-liked modes to transport along the interface, and the more group index <em>n_g</em> is, the half-wavelength <span><math><mrow><msub><mi>λ</mi><mi>L</mi></msub><mo>/</mo><mn>2</mn></mrow></math></span> of standing-wave-liked is longer. Based on numerical calculation, the largest group indexes of low-frequency and high-frequency valley-Hall slow-light waveguide states are 1000, 1378, respectively. Hence in theory we can use half-wavelength <span><math><mrow><msub><mi>λ</mi><mi>L</mi></msub><mo>/</mo><mn>2</mn></mrow></math></span> of standing-wave-liked modes to characterize slow-light states instead of judging respond time or fitting dispersion curve, which provides an alternative method or road to directly observe and demonstrate slow-light waveguide states in experiment.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108092"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104984","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":"Spectral narrowing in the resonance fluorescence of a driven V-type quantum emitter near a two-dimensional plasmonic nanostructure array","authors":"Spyridon G. Kosionis ,&nbsp;Vassilios Yannopapas ,&nbsp;Emmanuel Paspalakis","doi":"10.1016/j.rinp.2024.108084","DOIUrl":"10.1016/j.rinp.2024.108084","url":null,"abstract":"<div><div>We investigate the incoherent resonance fluorescence spectrum emitted by a three-level V-type quantum emitter, under the influence of a two-dimensional plasmonic nanosphere array. The V-type quantum system is driven by a coherent electromagnetic field whilst quantum interference effects in the spontaneous emission due to the presence of the plasmonic nanostructure are accounted for. The characteristics of the incoherent resonance fluorescence spectrum are studied, for different sets of parameters, aiming at the specification of the conditions under which an outstanding spectral narrowing, or either, quenching effects are manifested.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108084"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104987","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":"Multiband adjustment engineering strategy for broadband range in photonic crystals","authors":"Wenjia Yu ,&nbsp;Shiyu Liu ,&nbsp;Hang Sun ,&nbsp;Jicheng Wang ,&nbsp;Yuting Yang ,&nbsp;Xiaopeng Shen","doi":"10.1016/j.rinp.2024.108104","DOIUrl":"10.1016/j.rinp.2024.108104","url":null,"abstract":"<div><div>Topological edge states are crucial for optical modulation, and the overlapping Brillouin zones in nested structures can effectively control multiband edge states. A nested photonic crystal framework can enhance the rotational freedom, providing additional functionalities. In this study, a multifunctional, tunable, innovative double-rotation C₄ nested photonic crystal structure was developed; it reached a higher degree of freedom via double independent rotations. These nested C₄ photonic crystal structures could expand the functional range of C₄ structure implementation. The multifunctional implementation of multienergy band transmissions, unidirectional transmissions, and wavelength division multiplexers containing nested C₄ structures were experimentally demonstrated. The experimental results agreed well with the simulated predictions. Thus, this study offers new insights and strategies to foster the advancement of topological photonics and radar communication devices.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108104"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104988","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":"Propagation characteristics of surface waves on half-space of piezoelectric semiconductor with rotation effect considered","authors":"Li Li ,&nbsp;Tong Wu ,&nbsp;Qian Zhang","doi":"10.1016/j.rinp.2024.108103","DOIUrl":"10.1016/j.rinp.2024.108103","url":null,"abstract":"<div><div>In this paper, the propagation characteristics of generalized surface waves on a piezoelectric semiconductor half-space with the presence of the rotation are studied. First, the governing equations of motion of the piezoelectric semiconductor solid which rotates about any axis are derived by the method of vector decomposition. Next, the dispersive relations of generalized Rayleigh wave and generalized Shear surface wave are obtained. The dispersion, attenuation and frequency<!--> <!-->shift features of generalized Rayleigh wave and generalized Shear surface wave under two different boundary conditions are studied numerically with considering the rotation and the biasing electric fields. Influences of the rotation round axes with different azimuthal angles on the dispersion, attenuation and frequency<!--> <!-->shift of surface waves are discussed for both cases of open circuit and short circuit.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108103"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104504","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":"Polarization response characteristics of structure gradient MWCNTs/PDMS under vibration","authors":"Feigao Fan ,&nbsp;Yihao Liu ,&nbsp;Mengzhou Chang ,&nbsp;Lulu Li ,&nbsp;Kai Guo","doi":"10.1016/j.rinp.2024.108095","DOIUrl":"10.1016/j.rinp.2024.108095","url":null,"abstract":"<div><div>Low electromechanical coupling coefficient has become the key problem restricting the application of flexible electronic components. In this paper, structure gradient MWCNTs/PDMS composites have been prepared, the electromechanical properties have been investigated by cantilever beam experiment. Numerical simulations based on flexoelectric theory have been conducted to investigate the relationship between polarization strengths, voltage distributions and strain gradients. The results show that polarization voltage <em>U</em> show sinusoidal-like periodic decay behavior. Generally, <em>U</em> of linear structure gradient cantilever beam (98.6 mV) are larger than homogeneous structure (56.3 mV, 1 wt%), symmetry and anti-symmetry structure gradient. The polarization strength <em>P</em> of linear structural gradient cantilever beam is in the range of −600 ∼ 600 pC/m². There exists an out of phase relationship between <em>P</em> and displacement. The flexoelectric coefficients of homogeneous structure MWCNTs/PDMS are generally about 10^-10C·m⁻¹. However, that of linear structure gradient MWCNTs/PDMS reaches 10^-8C·m⁻¹. The structure gradient MWCNTs/PDMS composites with high electromechanical coupling coefficients can be used in the field of flexible intelligent sensing in the future.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108095"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104574","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":"Magnetohydrodynamics of nanofluid internal forced convection: A review and outlook for practical applications","authors":"Victor O. Adogbeji ,&nbsp;Emmanuel O. Atofarati ,&nbsp;Mohsen Sharifpur ,&nbsp;Josua P. Meyer","doi":"10.1016/j.rinp.2024.108082","DOIUrl":"10.1016/j.rinp.2024.108082","url":null,"abstract":"<div><div>Nanofluids (NFs) have emerged as a revolutionary medium for enhancing heat transfer, with magnetohydrodynamics (MHD) gaining particular attention for its potential to improve system efficiency. Despite this growing interest, a critical gap remains in understanding the combined impact of <span><math><mrow><msub><mrow><mi>F</mi><mi>e</mi></mrow><mn>3</mn></msub><msub><mi>O</mi><mn>4</mn></msub></mrow></math></span> and its hybrid nanofluids under magnetic fields, especially in turbulent and transition flow regimes of internal forced convection. This review offers an in-depth exploration of MHD-NF internal forced convection, addressing key aspects such as magnetic field dynamics, nanoparticle clustering, stability, dispersion, flow control, and responsive rheology. Leveraging a comprehensive bibliographic analysis of 100 experimental studies from 2010 to the 2024, along with data from the Scopus® database, this work highlights how optimized nanofluid volume concentrations, magnetic field intensities, and frequencies significantly enhance heat transfer coefficients. The findings underscore that both magnetic field strength and nanoparticle concentration critically influence particle motion, flow patterns, entropy generation, thermal performance, and pressure drops, offering new insights into system design. The versatility of MHD-NF systems presents promising applications in fields ranging from advanced cooling technologies to solar thermal systems and material processing. Furthermore, this review addresses ongoing debates on the efficacy of alternating versus constant magnetic fields, advocating for customized magnetic field configurations to unlock the full potential of MHD-enhanced heat transfer. This work not only identifies existing gaps but also lays the foundation for future breakthroughs in magnetically influenced nanofluid systems.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108082"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104579","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":"DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties","authors":"Mohammad Ivan Azis","doi":"10.1016/j.rinp.2024.108070","DOIUrl":"10.1016/j.rinp.2024.108070","url":null,"abstract":"<div><div>A combined Laplace transform (LT) and domain-boundary element method (DBEM) are utilized to obtain numerical solutions for a spatio-temporal coefficient modified Helmholtz-type equation with arbitrary initial conditions and source terms, addressing problems in a distinct class of anisotropic functionally graded materials (FGMs). The process involves deriving a domain-boundary integral equation by transforming the variable coefficient equation into a constant coefficient equation and applying the Laplace transform. Numerical solutions are then obtained using the standard domain-boundary element method and the Stehfest formula. This study demonstrated the accuracy of numerical solutions.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108070"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104990","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":"A numerical approach for multi-dimensional ψ-Hilfer fractional nonlinear Galilei invariant advection–diffusion equations","authors":"M.H. Heydari ,&nbsp;M. Razzaghi ,&nbsp;M. Bayram","doi":"10.1016/j.rinp.2024.108067","DOIUrl":"10.1016/j.rinp.2024.108067","url":null,"abstract":"<div><div>In this paper, we introduce the <span><math><mi>ψ</mi></math></span>-Hilfer fractional version of nonlinear Galilei-invariant advection–diffusion equations in one and two dimensions. A new type of basic functions, namely the <span><math><mi>ψ</mi></math></span>-Chebyshev cardinal functions (CFs), is introduced to establish a hybrid numerical strategy to solve these equations. The key advantageous property of these functions is the simplicity of computing their <span><math><mi>ψ</mi></math></span>-Hilfer fractional derivative. Utilizing this property, a new operational matrix for the <span><math><mi>ψ</mi></math></span>-Hilfer fractional derivative of these functions is derived. Consequently, a hybrid numerical strategy based on the shifted Chebyshev polynomials (CPs) and <span><math><mi>ψ</mi></math></span>-Chebyshev CFs is proposed to solve these equations. More precisely, in the proposed strategy, a finite expansion for the solution of the equation under investigation is considered. The shifted CPs are used to approximate the solution in the spatial domain, while the <span><math><mi>ψ</mi></math></span>-Chebyshev CFs are utilized to approximate the solution in the temporal domain. By applying the <span><math><mi>ψ</mi></math></span>-Hilfer fractional derivative operational matrix of the <span><math><mi>ψ</mi></math></span>-Chebyshev CFs, the classical derivatives operational matrices of the shifted CPs, and employing the collocation method, the solution of the equation under consideration is obtained by solving a system whose elements are algebraic equations. The accuracy of the presented strategy is examined by numerous examples.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"68 ","pages":"Article 108067"},"PeriodicalIF":4.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104991","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}