Considering a combined Kappa–Cairns electron distribution, we have analytically explored the nonlinear dynamics of ion-acoustic solitary waves in a magnetized electron–ion–dusty plasma, encompassing both suprathermal and nonthermal aspects to provide a more realistic characterization. The Korteweg–de Vries–Zakharov–Kuznetsov (KdV–ZK) equation is developed by employing the reductive perturbation approach. The nonlinear coefficient of KdV–ZK equation disappears for certain parametric curves, resulting in modified KdV–ZK equation. The soliton solutions are derived for each case and the consequences of key physical parameters on soliton characteristics are numerically investigated. The small-k perturbation expansion approach is used to investigate the stability of solitary solutions. The numerical research on the impacts of the parameters associated with this system on the growth rate of instability predicts that the enhancements of the propagation angle and the ion gyro-frequency lead to the shrinkage of the maximum growth rate of instability. On the other hand, the enhancements of the suprathermal and nonthermal parameters associated with electron’s distribution lead to the shrinkage of the maximum growth rate of instability. Understanding wave propagation and stability in space and astrophysical dusty plasmas, such as the solar wind, magnetosheath, and wider heliospheric regions, may be improved by the present research.
{"title":"Ion-acoustic waves and stability analysis in magnetized dusty plasma with combined Kappa–Cairns-distributed electrons","authors":"Rittika Pain, Sandip Dalui, Sankirtan Sardar, Anup Bandyopadhyay","doi":"10.1140/epjd/s10053-025-01088-6","DOIUrl":"10.1140/epjd/s10053-025-01088-6","url":null,"abstract":"<p>Considering a combined Kappa–Cairns electron distribution, we have analytically explored the nonlinear dynamics of ion-acoustic solitary waves in a magnetized electron–ion–dusty plasma, encompassing both suprathermal and nonthermal aspects to provide a more realistic characterization. The Korteweg–de Vries–Zakharov–Kuznetsov (KdV–ZK) equation is developed by employing the reductive perturbation approach. The nonlinear coefficient of KdV–ZK equation disappears for certain parametric curves, resulting in modified KdV–ZK equation. The soliton solutions are derived for each case and the consequences of key physical parameters on soliton characteristics are numerically investigated. The small-<i>k</i> perturbation expansion approach is used to investigate the stability of solitary solutions. The numerical research on the impacts of the parameters associated with this system on the growth rate of instability predicts that the enhancements of the propagation angle and the ion gyro-frequency lead to the shrinkage of the maximum growth rate of instability. On the other hand, the enhancements of the suprathermal and nonthermal parameters associated with electron’s distribution lead to the shrinkage of the maximum growth rate of instability. Understanding wave propagation and stability in space and astrophysical dusty plasmas, such as the solar wind, magnetosheath, and wider heliospheric regions, may be improved by the present research.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"79 11","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456867","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}
Topological photonic crystals are innovative optical structures that leverage topological phases to achieve robust photonic bandgaps, exhibiting immunity to structural imperfections and disorder. However, a significant challenge in conventional topological photonic crystal designs has been the difficulty in precisely controlling the position of the transmission peak. To address this limitation, we present a modified topological photonic crystal composed of alternating (hbox {SiO}_2) and (hbox {TiO}_2) layers. This design incorporates a synergistic approach that integrates the transfer matrix method, quarter-wavelength thickness design principles, and iterative optimization of layer parameters to ensure precise wavelength alignment and enhanced spectral control. The proposed modified topological photonic crystal demonstrates superior performance, including wider photonic bandgaps, moderate transmission efficiency, and improved resistance to structural defects.
Top panel: Schematic diagrams of the proposed structure without modification (top) and with modification (bottom), together with the transmission spectra for the symmetric (red) and topological (blue) structures. Bottom panel: Transmission spectra (blue line), average transmission over perturbation (red line), and mean square error (gray shaded region) for the symmetric structure (left), topological structure (middle), and modified topological structure (right).
{"title":"Modified topological photonic crystal","authors":"Abhradeep Basu, Archita Nath, Suhani Das, Arya Pandey, Aksh Agrawal, Parth Hooda, Chittaranjan Nayak","doi":"10.1140/epjd/s10053-025-01079-7","DOIUrl":"10.1140/epjd/s10053-025-01079-7","url":null,"abstract":"<p>Topological photonic crystals are innovative optical structures that leverage topological phases to achieve robust photonic bandgaps, exhibiting immunity to structural imperfections and disorder. However, a significant challenge in conventional topological photonic crystal designs has been the difficulty in precisely controlling the position of the transmission peak. To address this limitation, we present a modified topological photonic crystal composed of alternating <span>(hbox {SiO}_2)</span> and <span>(hbox {TiO}_2)</span> layers. This design incorporates a synergistic approach that integrates the transfer matrix method, quarter-wavelength thickness design principles, and iterative optimization of layer parameters to ensure precise wavelength alignment and enhanced spectral control. The proposed modified topological photonic crystal demonstrates superior performance, including wider photonic bandgaps, moderate transmission efficiency, and improved resistance to structural defects.</p><p>Top panel: Schematic diagrams of the proposed structure without modification (top) and with modification (bottom), together with the transmission spectra for the symmetric (red) and topological (blue) structures. Bottom panel: Transmission spectra (blue line), average transmission over perturbation (red line), and mean square error (gray shaded region) for the symmetric structure (left), topological structure (middle), and modified topological structure (right).</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"79 11","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456302","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}
Pub Date : 2025-11-05DOI: 10.1140/epjd/s10053-025-01090-y
Serhat F. Özeren
In this study, we investigate the classical and quantum dynamics of a harmonic oscillator with a mass that increases over time and asymptotically approaches a finite limit. The mass evolution is modeled by a logistic-type growth law, which leads to the disappearance of the effective damping in the longtime limit. Two scenarios are considered: (i) the case of a constant spring constant, corresponding to a parametric oscillator with decreasing frequency, and (ii) the case of a constant natural frequency, where the stiffness increases proportionally with the mass. In the classical regime, we derive the exact equations of motion, analyze phase-space trajectories, and examine the time evolution of the total energy. In both cases, as (t to infty), the oscillator approaches a stable periodic motion with constant energy. In the quantum regime, we employ the SU(1,1) coherent state formalism to obtain semiclassical equations of motion and compare them with the classical results. The analytical results obtained are supported by numerical simulations.