Rafaela Alvarenga, Felipe S. Escórcio, Alan Barros de Oliveira, Hermano Velten
{"title":"Quantum Hydrodynamics of the Bingham Fluid Addressing the CNT Enhanced Fluid Flow","authors":"Rafaela Alvarenga, Felipe S. Escórcio, Alan Barros de Oliveira, Hermano Velten","doi":"10.1007/s10773-026-06414-1","DOIUrl":"10.1007/s10773-026-06414-1","url":null,"abstract":"<div><p>The superflow of water at nanoscale remains an open problem. Classical hydrodynamics predicts flow rates that are 2 to 5 orders of magnitude lower than those observed experimentally. Therefore, it is natural to question the validity of such models while exploring alternative approaches. In this work, we investigate the behavior of viscoplastic fluids, particularly Bingham fluids, from the perspective of de Broglie–Bohm quantum mechanics, incorporating the effects of a quantum potential (quantum hydrodynamics). We phenomenologically assume that the physics behind these unexplained experimental results might be associated to an effective quantum potential which properties that can be associated to an effective anti-dissipative hydrodynamical term in the classical approach. We combine a theoretical approach with its numerical solutions to understand the interplay between the Navier–Stokes-Bingham hydrodynamical system and the quantum hydrodynamics. Our results indicate that the quantum potential can be directly associated with the increased flow velocity, reinforcing that quantum effects may play a significant role in the dynamics of fluids confined within nanotubes. Moreover, well-behaved solutions for the system’s wavefunction were identified even in the exotic case of anti-dissipative fluid flow. This evidence provides a possible theoretical explanation for the superflux phenomenon, reinforcing the hypothesis that quantum effects may underlie the discrepancies relative to classical hydrodynamic predictions.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-026-06414-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614048","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":"Near-Resonant Driving of Bipartite and Tripartite Entanglement in a Hybrid Optomechanical System","authors":"Li Zheng, Jiacong Zhang, Wudeng Wang","doi":"10.1007/s10773-026-06413-2","DOIUrl":"10.1007/s10773-026-06413-2","url":null,"abstract":"<div><p>We propose and theoretically investigate a scheme for the dynamic control of quantum entanglement in a hybrid system comprising an atom, an optical cavity, and a mechanical oscillator. By combining periodic optomechanical modulation with an ultrastrong atom-cavity interaction governed by the Rabi-Stark model, we derive an effective Hamiltonian and demonstrate programmable manipulation of both bipartite and tripartite entanglement. Our analysis identifies three key control parameters: the detuning, the atom-cavity nonlinear coupling, and the optomechanical coupling strength. We show that these parameters enable precise temporal shaping and pathway selection of quantum correlations. Specifically, we observe a time-divided, competitive distribution of entanglement between the atom-cavity and cavity-oscillator channels, where enhancing one often suppresses the other. The nonlinear coupling is found to extend entanglement death phases and trigger pulsed revivals, while stronger optomechanical coupling stabilizes the cavity-oscillator entanglement into a sustained plateau. These results establish a versatile framework for dynamically routing entanglement on demand, with direct applications for quantum memory, sensing beyond the standard quantum limit, and synchronization protocols in hybrid quantum networks.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614047","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":"Exploring the Coexistence between the Einstein’s Universe and a Source like-Tolman IV Solution","authors":"J. Andrade, D. Santana, C. Usca, Tayyab Naseer","doi":"10.1007/s10773-026-06412-3","DOIUrl":"10.1007/s10773-026-06412-3","url":null,"abstract":"<div><p>This study constructs a model of a compact, anisotropic star formed by two interacting fluids: the fluid of Einstein’s static universe and an additional source with a Tolman IV-type complexity. Using an extended gravitational decoupling method that allows energy exchange between fluids, the resulting stellar configuration is shown to be physically viable and stable. The model describes highly compact stars with masses between roughly two times the mass of the Sun. Energy transfer between the two fluids intensifies as the star becomes more compact, while its direction depends on the properties of the Einstein’s universe fluid. When the star is perturbed non-radially, internal fractures such as cracking and overturning may appear, except in less compact stars below a specific threshold. Under radial perturbations, the star oscillates with positive frequencies, confirming its dynamical stability. Overall, the coexistence of a cosmological fluid with a source of controlled complexity leads to a stable, highly compact anisotropic stellar model where internal complexity, energy exchange, and stability are closely linked.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613829","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":"Long-Time Asymptotics for the n-Component Coupled Higher-Order Nonlinear Schrödinger Equation","authors":"Bing Chen, Wenxia Chen, Chaosheng Zhang","doi":"10.1007/s10773-026-06410-5","DOIUrl":"10.1007/s10773-026-06410-5","url":null,"abstract":"<div><p>This paper studies the long-time asymptotic behavior of the Cauchy problem for the <i>n</i>-component coupled higher-order nonlinear Schrödinger equation with initial data in the Schwartz space. By spectral analysis of the associated <span>((n+1) times (n+1))</span> Lax pair, the solution is formulated as a matrix Riemann–Hilbert (RH) problem. Applying the Deift–Zhou nonlinear steepest descent method, we analyze the RH problem in two different regimes of <span>(zeta =frac{x}{t})</span>. For <span>(zeta < frac{1}{3varepsilon }-varpi )</span> (with <span>(varpi >0)</span> a constant), the asymptotic behavior is characterized by explicit expressions involving parabolic cylinder functions in an oscillatory manner. For <span>(zeta > frac{1}{3varepsilon }+varpi )</span>, the solution decays rapidly. Rigorous asymptotic formulas are obtained with controlled error estimates.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614038","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":"Analytical Solutions of the Hirota Equation with Gaussian Noise","authors":"Xiao-Yun Zhou, Da-Wei Zuo","doi":"10.1007/s10773-026-06411-4","DOIUrl":"10.1007/s10773-026-06411-4","url":null,"abstract":"<div><p>In this paper, we focus on a Hirota-type equation, which is constructed by introducing Brownian motion and Gaussian white noise terms into the Hirota equation. First, the bilinear form of the equation is derived using the Hirota method. Based on the perturbation method, the first-order, second-order, and third-order soliton solutions are obtained respectively. By adjusting the parameters, various forms of analytical solutions are obtained, and the influence of parameter variations on the solutions is analyzed with the help of soliton plots. Under the effect of perturbations, a single soliton can exhibit interaction behavior similar to that of two solitons, while two solitons display dynamical characteristics resembling those of three solitons, and so on. Furthermore, different types of perturbations induce distinct interaction patterns of solitons. Meanwhile, the selection of different parameters can trigger breather phenomena or coupling interactions between breathers and solitons. Additionally, the constraint conditions for the Lax pair and the potential function are given, and the elliptic-rogue waves are constructed based on the Darboux transformation. These two types of periodic rogue waves correspond to the cn background and dn background of Jacobi elliptic functions, respectively, illustrating the excitation characteristics of rogue waves under different periodic modulation conditions. Finally, we employ the linear stability analysis to investigate the stability of the soliton solution.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148532337","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":"Geometric and Topological Features in Four–dimensional Regular Bardeen–AdS Black Holes","authors":"Mohammed Abu-Saleem, Ali Taani","doi":"10.1007/s10773-026-06404-3","DOIUrl":"10.1007/s10773-026-06404-3","url":null,"abstract":"<div><p>The Bardeen black hole is a modified Schwarzschild black hole due to the presence of an electromagnetic field. In this paper, we utilize topological models and their applications, including theory of retraction and deformation retract. This enables us to improve our understanding and analysis of Bardeen-AdS black holes (<span>(mathcal {B}^{4})</span>) in the fields of theoretical physics and astrophysics. By investigating certain physical properties (such as geometric transformation) of a metric in the various aspects of <span>(mathcal {B}^{4})</span>, we identify a class of the subspace in manifold theory as types of retractions. We employ the Lagrangian geodesic equations to analyze how topological retractions correspond to geometric deformations in the spacetime fabric. We expect to discover more about their fundamental characteristics and any potential implications for other aspects of black hole physics. We use the effective potential in (<span>(mathcal {B}^{4})</span>) to show how massive particles and photons provide key information about orbit stability and motion in a black hole’s spacetime. We demonstrate how particle angular momentum, mass, and the black hole’s magnetic charge parameter influence these aspects. We present the concept of horizon topology and elucidate its impact on the structure of black hole. Finally, our results contribute to the continuous research aimed at unraveling the mysteries of black holes due to spacetime geometry and their observations in the universe.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465714","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":"A Generally Covariant Model of Spacetime as a 4-Brane in 4+1 Flat Dimensions","authors":"Mert Ergen, Metin Arık","doi":"10.1007/s10773-026-06408-z","DOIUrl":"10.1007/s10773-026-06408-z","url":null,"abstract":"<div><p>We construct a simple toy model of a closed FLRW spacetime by starting from a flat five dimensional scalar field space. The action contains no curvature terms. A string-like potential is used for the field space. The model is fully covariant and the spacetime metric is uniquely determined from the dynamical equations of the metric tensor. An SO(4) invariant ansatz for the scalar fields is shown to be sufficient to build the FLRW cosmology.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466307","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}
Yazen M. Alawaideh, Bashar M. Al-khamiseh, Hala Ghannam, Tasneem Alayed
{"title":"Nonlinear Dynamics and Stability Analysis of a Fractional Coupled Spring-Pendulum System: Historical Perspective, Comparative Methodology, and Future Directions","authors":"Yazen M. Alawaideh, Bashar M. Al-khamiseh, Hala Ghannam, Tasneem Alayed","doi":"10.1007/s10773-026-06406-1","DOIUrl":"10.1007/s10773-026-06406-1","url":null,"abstract":"<div><p>Fractional calculus provides a powerful mathematical framework for modeling memory-dependent phenomena in dynamical systems; however, its application to coupled multi-body configurations with internal resonance remains largely unexplored. This paper develops a consistent fractional Hamiltonian framework for a coupled spring-pendulum system using Caputo fractional derivatives, incorporating fractional damping characterized by orders between zero and one and fractional inertia described by higher-order fractional parameters ranging from one to two. The governing equations are analyzed through three complementary methodologies: the Optimal Homotopy Perturbation Method (OHPM), the Multi-step Differential Transform Method (Ms-DTM), and Grünwald–Letnikov numerical simulations as a benchmark. Validation against exact analytical solutions for fractional Duffing, pendulum, and Mathews–Lakshmanan oscillators demonstrates that the Continuous Parameter Linearization Method (CPLM) achieves exceptional accuracy, significantly outperforming conventional amplitude-frequency formulations. The analysis reveals three characteristic effects of fractional-order dynamics: power-law energy dissipation governed by the Mittag–Leffler function, extended stabilization times associated with memory-dependent damping, and the emergence of quasi-periodic oscillations below a critical fractional-order threshold. Internal resonance analysis at one-to-one and two-to-one frequency ratios shows that fractional orders can substantially amplify inter-mode energy transfer, providing an additional mechanism for resonance control. This consistent fractional Hamiltonian framework offers a pathway toward treating fixed material properties as effectively tunable parameters within the modeled regime, suggesting potential applications in adaptive vibration control, energy harvesting, soft robotics, and seismic isolation systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465715","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":"Purity of Density Operators for Non-Orthogonal Quantum States with Bounds and Applications to Quantum Fisher Information","authors":"Orhan Amirov, Necati Celik, Mesut Karabacak","doi":"10.1007/s10773-026-06401-6","DOIUrl":"10.1007/s10773-026-06401-6","url":null,"abstract":"<div><p>In this study, we investigate the purity of density operators constructed from non-orthogonal quantum states. Starting from a general statistical mixture of normalized states, we derive an explicit expression for the purity in terms of the associated probability distribution and the pairwise overlaps between the states, quantified by <span>(|langle psi _i|psi _jrangle |^2)</span>. This formulation clearly separates the contributions arising from classical probability weights and quantum interference effects induced by non-orthogonality. To further analyze the impact of state overlaps, we introduce an average overlap quantity that captures the global contribution of non-orthogonal components. Based on this representation, we establish upper bounds for the purity using both global and local overlap parameters. In particular, we show that the purity can be effectively controlled by the maximum pairwise overlap, eliminating the need to compute all individual inner products explicitly. A refined bound is also obtained by incorporating local overlap measures, leading to a tighter characterization of the system. In addition, we develop a general framework connecting overlap-based purity bounds with quantum Fisher information (QFI) in parameter-dependent quantum systems. We show that the overlap structure can be used to indirectly control and estimate the behavior of QFI, especially in cases where direct spectral analysis is not tractable. The applicability of the proposed approach is demonstrated through an explicit example involving non-orthogonal qubit states. These results provide a practical framework for estimating the mixedness of quantum states and offer useful insights into the interplay between non-orthogonality, purity, and quantum Fisher information in quantum information theory.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465716","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}
Adnan Malik, Jamshed Khan, Ahdab K. Althukair, Uzma Gul, Sumaira Saleem Akhtar
{"title":"Perturbative Spacetime Structures in (F(R) = R + alpha R^2) Gravity with a Hybrid Equation of State","authors":"Adnan Malik, Jamshed Khan, Ahdab K. Althukair, Uzma Gul, Sumaira Saleem Akhtar","doi":"10.1007/s10773-026-06405-2","DOIUrl":"10.1007/s10773-026-06405-2","url":null,"abstract":"<div><p>We present a class of first-order perturbative spacetime solutions within the framework of <span>(F(R) = R + alpha R^2)</span> gravity, coupled with a phenomenological hybrid equation of state <span>(p = wrho + beta rho ^2)</span>. Using a covariant (1+1+2) approach and a perturbative expansion in the parameter <span>(alpha )</span>, we obtain metric solutions truncated at <span>(mathcal {O}(alpha ))</span> for static spherically symmetric configurations. These approximate solutions are designed to isolate and study the specific effects of quadratic gravitational corrections on spacetime geometry, separate from the complexities of realistic nuclear matter. The solutions reveal key theoretical features: (i) a characteristic deformation of the spacetime metric governed by the parameter <span>(gamma = (w + 2beta rho _c)/(1 + w + beta rho _c))</span>, (ii) internal curvature transitions when <span>(1-3w+6beta rho _c < 0)</span>, and (iii) modified stability criteria within this theoretical framework. Our work provides a mathematically tractable perturbative model for studying how strong-field <i>F</i>(<i>R</i>) gravity interacts with dense matter, offering closed-form expressions at first order that illuminate the functional dependence of spacetime geometry on model parameter. These perturbative results provide a new class of benchmark solutions for testing modified gravity theories in the strong-field regime, complementing numerical studies that use microphysical equations of state.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 7","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465807","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}