K. Hosseini, E. Hinçal, F. Alizadeh, D. Baleanu, M. S. Osman
{"title":"Bifurcation Analysis, Sensitivity Analysis, and Jacobi Elliptic Function Structures to a Generalized Nonlinear Schrödinger Equation","authors":"K. Hosseini, E. Hinçal, F. Alizadeh, D. Baleanu, M. S. Osman","doi":"10.1007/s10773-024-05829-y","DOIUrl":"10.1007/s10773-024-05829-y","url":null,"abstract":"<div><p>The present paper provides an investigation into the propagation of soliton waves for a generalized nonlinear Schrödinger (gNLS) equation. To this end, the bifurcation analysis (BA) of the dynamical system (DS) is first conducted through utilizing the dynamical system theory (DST). Through the Runge–Kutta (RK) scheme, the sensitivity analysis (SA) is then examined to make sure that small variations in seed values do not have a noticeable impact on the stability of the solution. In the end, the dynamical system approach is applied to derive a family of Jacobi elliptic waves of the gNLS equation. Some case studies are given to examine the influence of the Kerr law in the propagation of bright and dark solitons.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142790405","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}
Zahir Shah, M. Sulaiman, Waris Khan, Mansoor H. Alshehri, Narcisa Vrinceanu
{"title":"Electro Viscous and Cattaneo-Christov Heat Flux Impact on Hybrid Nanofluid Flow Over a Rotating Disk","authors":"Zahir Shah, M. Sulaiman, Waris Khan, Mansoor H. Alshehri, Narcisa Vrinceanu","doi":"10.1007/s10773-024-05827-0","DOIUrl":"10.1007/s10773-024-05827-0","url":null,"abstract":"<div><p>This study investigates the dynamic properties of a Casson hybrid nanofluid flow over a rotating disk, emphasizing the influences of Electroviscous forces and Cattaneo-Christov heat flux. The nanofluid comprises Silver (Ag) nanoparticles and Multi-Walled Carbon Nanotubes (MWCNTs) dispersed in a water base fluid, chosen for their superior thermal properties and stability. A comprehensive mathematical model, comprised of Partial Differential Equations (PDEs) transformed into Ordinary Differential Equations (ODEs) through a similarity transformation method, is developed to explore this complex phenomenon. The analysis combines multiple variables including magnetic fields, viscous dissipation, Joule heating, and radiative as well as convective effects. The findings reveal significant impacts on skin friction, fluid flow characteristics, and heat transfer behavior due to the synergistic effects of the considered parameters. The study’s novelty lies in its detailed examination of Electroviscous effects within a rotating disk setup, extending beyond traditional analyses by integrating the specific thermal and viscous properties of Silver and MWCNT nanoparticles. This approach offers new insights into optimizing heat transfer applications in industrial processes, particularly in high-speed rotational systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142789325","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":"Linearization of Newton’s Second Law","authors":"Andronikos Paliathanasis","doi":"10.1007/s10773-024-05772-y","DOIUrl":"10.1007/s10773-024-05772-y","url":null,"abstract":"<div><p>The geometric linearization of nonlinear differential equation is a robust method for the construction of analytic solutions. The method is related to the existence of Lie symmetries which can be used to determine point transformations such that to write the given differential equation in a linear form. In this study we employ another geometric approach and we utilize the Eisenhart lift to geometric linearize the Newtonian system describing the motion of a particle in a line under the application of an autonomous force. Our findings reveal that for the oscillator, the Ermakov potential with or without the oscillator term, and the Morse potential, Newton’s second law can be globally expressed in the form of that of a free particle. This study open new directions for the geometric linearization of differential equations via equivalent dynamical systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778198","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":"Decoherence Dynamics in a Polaron System with Collective Dephasing","authors":"Saima Bashir, Muzaffar Qadir Lone, Prince A Ganai","doi":"10.1007/s10773-024-05843-0","DOIUrl":"10.1007/s10773-024-05843-0","url":null,"abstract":"<div><p>Within quantum information frameworks, managing decoherence stands as a pivotal task. The present work delves into decoherence dynamics of a dressed qubit, represented by a spinless fermion hopping between two lattice sites that are strongly coupled to a collective bosonic bath. To simplify calculations under strong coupling, we adopt the Lang-Firsov transformation, effectively minimizing system-bath interactions. Within the polaron perspective using Ohmic bath spectral density with a Gaussian cutoff, we identify a fundamental timescale <i>s</i> (equivalently a length scale <i>l</i>), dictating coherence decay. Utilizing a quantum master equation in the energy eigen basis while maintaining fixed particle number, we demonstrate that coherence persists for small <i>s</i> values but diminishes for larger ones. Additionally, we explore the utilization of <span>(pi )</span>-pulses to manipulate decoherence within the system.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778195","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}
Said Alam Khan, Suliman Khan, Muhammad Javed, Zahid Ali
{"title":"Hybrid Field Perspectives on Coherence and Entanglement in Qubit-Qutrit Dynamics","authors":"Said Alam Khan, Suliman Khan, Muhammad Javed, Zahid Ali","doi":"10.1007/s10773-024-05844-z","DOIUrl":"10.1007/s10773-024-05844-z","url":null,"abstract":"<div><p>In modern quantum information, the associated protocols highly rely upon qubit-qutrit systems which offer enhanced robustness to decoherence and greater encoding capabilities, essential for fault-tolerant quantum computing and cryptography. This study investigates the dynamic behavior of quantum coherence and entanglement in a qubit-qutrit system subjected to diverse interactions and exposed to external magnetic and classical fields influenced by Ornstein-Uhlenbeck (OU)-Static mixed noise. Various system parameters are explored to discern their impact on quantum correlations over time. The dynamics characterized by spin-coupling reveal an initial entangled state, with coherence and negativity exhibiting finite values. However, the entanglement diminishes over time, accompanied by damped oscillations, indicative of coherent dynamics. Contrastingly, the magnetic field demonstrates a diminishing trajectory in coherence and negativity with increasing values, leading to complete vanishing at critical thresholds. Temperature variations display a declining trend in coherence and negativity as temperature rises, highlighting its role as a dampening factor disrupting quantum correlations. The variations in state noise disorder parameters reveal enhanced preservation and reduced oscillations as the noise disorder parameter decreases, emphasizing its crucial role in shaping quantum correlations. In addition, we observe the dynamics to be more fluctuating with increasing field coupling strength. Our findings show that the hybrid setup presented here gives completely varying traits compared to the individual configuration of qubit-qutrit systems, static noise, and OU noise studied previously. The proposed framework can serve as a prototype for studying quantum systems beyond two-level qubits, providing a more comprehensive understanding of multi-level quantum states under realistic noise.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778197","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}
S. H. Shekh, Anirudh Pradhan, S. P. Gaikwad, K. R. Mule
{"title":"Exploring Dynamic Dark Energy Models in f(T) Gravity: A Comparative Study of NHDE, THDE, and BHDE","authors":"S. H. Shekh, Anirudh Pradhan, S. P. Gaikwad, K. R. Mule","doi":"10.1007/s10773-024-05833-2","DOIUrl":"10.1007/s10773-024-05833-2","url":null,"abstract":"<div><p>In this work, we explore the cosmological implications of three dynamic dark energy models-New Holographic Dark Energy (NHDE), Tsallis Holographic Dark Energy (THDE), and Barrow Holographic Dark Energy (BHDE)-within the framework of <i>f</i>(<i>T</i>) gravity. These models are motivated by the holographic principle and provide alternatives to the standard <span>(Lambda )</span>CDM model. We adopt a flat, isotropic Friedmann-Robertson-Walker (FRW) universe and employ a specific forms of <i>f</i>(<i>T</i>) gravity. The evolution of key cosmological parameters, such as the isotropic pressure, equation of state (EoS) parameter, and energy conditions, is analyzed for each model. Using observational data from Type Ia supernovae (SNIa), Cosmic Microwave Background (CMB), Baryon Acoustic Oscillations (BAO), and Hubble parameter measurements, we constrain the free parameters of each model and evaluate their compatibility with observational data. The analysis reveals that NHDE, THDE, and BHDE models are viable alternatives to <span>(Lambda )</span>CDM, offering a more dynamic description of dark energy. Each model satisfies key energy conditions, providing a stable framework for explaining cosmic acceleration. The results show deviations from the constant behavior of <span>(Lambda )</span>CDM, indicating the potential for time-evolving dark energy in these models.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757999","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":"Evolution of Nonlinear Periodic Waves in the Focusing and Defocusing Cylindrical Modified Korteweg-de Vries Equations","authors":"Nese Ozdemir, Ali Demirci, Semra Ahmetolan","doi":"10.1007/s10773-024-05841-2","DOIUrl":"10.1007/s10773-024-05841-2","url":null,"abstract":"<div><p>This study investigates the evolution of dispersive shock wave (DSW) solutions within the focusing and defocusing cylindrical modified Korteweg-de Vries (cmKdV(f)) and (cmKdV(d)) equations under Riemann-type initial conditions. Using Whitham modulation theory, we derive and numerically solve the Whitham systems, enabling a comparison between these asymptotic solutions and direct numerical simulations of the cmKdV equations. The results provide a detailed classification of wave structures in both focusing and defocusing cases of the cmKdV equations. This research offers new insights into the behavior and classification of nonlinear periodic waves in the cmKdV equations.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142753965","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}
Vedhanayagi R, Soubhik De, Satyanarayana S.V.M., Basherrudin Mahmud Ahmed A, Alok Sharan
{"title":"Scalable Secure Teleportation in Quantum Communication Networks Using n-partite GHZ States","authors":"Vedhanayagi R, Soubhik De, Satyanarayana S.V.M., Basherrudin Mahmud Ahmed A, Alok Sharan","doi":"10.1007/s10773-024-05839-w","DOIUrl":"10.1007/s10773-024-05839-w","url":null,"abstract":"<div><p>We present a protocol for faithful teleportation of an arbitrary single qubit state in a quantum network with n-parties utilizing the maximally entangled n-partite GHZ state. In our approach, starting with three parties, Alice, the sender must perform a Bell state measurement on her qubits, then the intermediate parties perform Hadamard operation along with single qubit state measurements. Finally the receiver reconstructs the teleported state by doing appropriate unitary operations. We systematically increase the number of parties involved in the process and show that the teleportation can be achieved successfully with each additional participant. By generalizing the results to n-qubit GHZ state, one can achieve serial teleportation involving the sender Alice, the receiver and <span>(varvec{(n-2)})</span> intermediate parties. We have further employed decoy qubits into our scheme to enhance the security against any potential external threats. In addition, the intrinsic efficiency of teleportation is also calculated and compared with other standard protocols.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737261","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":"Geodesic Structure of a Noncommutative Black Hole","authors":"Zihan Xi, Chen Wu, Wenjun Guo","doi":"10.1007/s10773-024-05824-3","DOIUrl":"10.1007/s10773-024-05824-3","url":null,"abstract":"<div><p>This paper explores the metric of Piero Nicolini’s noncommutative black hole spacetime, calculates its effective potential, and presents the corresponding potential curve. By analyzing this curve, we identify various orbit types for test particles and photons in this spacetime. Using the dynamical equations for particles and photons near the black hole, we plot the specific time-like and null geodesic structures. We analyze the impact of different values of the total mass of the source <span>(varvec{M})</span> and angular momentum <span>(varvec{L})</span> on time-like geodesics. Our results indicate that in the Piero black hole spacetime, increases in total mass and angular momentum reduce the perihelion precession rate of the orbit. Notably, the effect of total mass is nonlinear, while the effect of angular momentum is linear.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737351","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}
B Samanta, B. Raychaudhuri, F. Rahaman, Aditya S. Mondal, Subrato Sarkar
{"title":"Tachyonic Field Coupled with Global Monopole","authors":"B Samanta, B. Raychaudhuri, F. Rahaman, Aditya S. Mondal, Subrato Sarkar","doi":"10.1007/s10773-024-05836-z","DOIUrl":"10.1007/s10773-024-05836-z","url":null,"abstract":"<div><p>As the early universe expanded, phase transitions occurred which resulted in the formation of different types of topological defects. Specifically, the self-coupling scalar field triplet <span>(phi ^{a})</span> was responsible for the creation of global monopoles, which are massive objects that arise during these phase transitions. The initial global symmetry of <i>O</i>(3) undergoes a process of spontaneous breaking, resulting in U(1) symmetry. In this paper we describe a model of global monopole consisting of the Higgs triplet of scalar fields with Tachyonic fluid described by the relativistic Lagrangian <span>(mathscr {L}_{Tach}=-V(phi ^{a})sqrt{1+g^{mu nu }partial _{mu }phi ^{a}partial _{nu }phi ^{a}})</span>. In the weak field approximation, we were able to discover the solution for the scalar field and space-time produced by the global monopole and the Einstein equation that emerges from these scenario exhibits a high degree of non-linearity. Our investigation focused on determining whether the global monopole produces gravitational pull on a test particle that is in motion within its spacetime. Finally, we have calculated the bending of light due to gravitational field of this global monopole.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714524","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}