{"title":"Prigogine–Resibois master equation with power-law kernel: quantum dynamics with memory","authors":"Vasily E. Tarasov","doi":"10.1140/epjp/s13360-025-06106-5","DOIUrl":"10.1140/epjp/s13360-025-06106-5","url":null,"abstract":"<div><p>The Prigogine–Resibois master equations is valid in the general case, regardless of the initial correlations, and make it possible to describe exactly strongly coupled systems. In this paper, exact solutions of the Prigogine–Resibois master equation with power-law kernel (PLK) are derived. To solve this equation we use methods of fractional calculus (FC) and theory of equations with derivatives with non-integer orders. Using the first fundamental theorem of FC, the Prigogine–Resibois master equation with PLK is represented as a fractional differential equation with the Caputo fractional derivative of arbitrary order greater than one. Then, solution of the Cauchy problem with this fractional differential equation is derived. Some properties of these solutions, which are represented via the two-parameter Mittag–Leffler function, are considered. Asymptotic behaviors of the solutions are described.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Dose comparison of slowing-down protons and secondary electrons by gold nanoparticle in proton therapy: simulation study","authors":"Farshid Tabbakh","doi":"10.1140/epjp/s13360-025-06197-0","DOIUrl":"10.1140/epjp/s13360-025-06197-0","url":null,"abstract":"<div><p>A large number of researches on using gold nanoparticle in proton therapy have focused only on the effect of the secondary electrons in enhancing the radio-sensitization. Although experimental studies have addressed the significant impact of gold nanoparticles, simulations have shown that the electrons ejected from nanoparticles cause only a small enhancement within nanometer range from the nanoparticle, according to several publications. The disagreement has been explained in the present study by introducing the proton slowing-down mechanism as another contributor in dose enhancement in the presence of gold nanoparticles. The protons traversing the nanoparticles are slowed-down, leading to slight increase in their LET and, consequently, the extra dose induction in medium. This mechanism acts in a longer distance from gold nanoparticle within micrometer range. The contributions of both mechanisms to radio-sensitization enhancement have been compared, and the total elevated dose has been quantified. Additionally, the LET increase with respect to different nanoparticle sizes has been investigated.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Rajni, Gudveen Sawhney, Ajay Kumar Rai, Manoj K. Sharma
{"title":"Formation and decay dynamics of (^{158})Tb(^{*}) compound nucleus formed in (^{6})Li+(^{152})Sm reaction","authors":"Rajni, Gudveen Sawhney, Ajay Kumar Rai, Manoj K. Sharma","doi":"10.1140/epjp/s13360-025-06191-6","DOIUrl":"10.1140/epjp/s13360-025-06191-6","url":null,"abstract":"<div><p>In the present analysis, the formation and the decay of <span>(^{158})</span>Tb<span>(^{*})</span> compound nucleus formed via <span>(^{6})</span>Li +<span>(^{152})</span>Sm reaction is studied. The energy density functional theory based on the Skyrme effective interaction is used to calculate the nuclear potential. Within the frameworks of Wong and <span>(ell)</span>-summed Wong formula, the fusion process is examined and for the decay, the dynamical cluster decay model is used. The complete fusion cross-section shows decent agreement with experimental data with <span>(ell)</span>-summed Wong formula which otherwise indicate <span>(sim)</span>35<span>(%)</span> suppression at higher incident energies with Wong formula. The decay part of lanthanide compound nucleus <span>(^{158})</span>Tb<span>(^{*})</span> is investigated using the concept of nuclear surface polarization effects (SPE) in which the complete fusion (CF) and incomplete fusion (ICF) dynamics is explored in view of fragmentation potential, preformation probability and penetrability of decaying fragments. The SPE is also tested on neck-length and barrier modification parameters. Along with this, the evaporation cross-sections in aforementioned decay processes are calculated using angle dependent and angle independent diffuseness parameter. Our results indicate that the SPE significantly influence the excitation functions and related dynamics of lanthanide compound nucleus as the experimentally reported CF and ICF cross-section for <span>(^{158})</span>Tb<span>(^{*})</span> system are found to be nicely fitted when angle dependent diffuseness is incorporated in the nuclear potential.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Fahad Al Basir, Juan J. Nieto, Aeshah A. Raezah, Teklebirhan Abraha
{"title":"Impact of local and global awareness campaigns on malaria transmission: A mathematical model with protected human class and optimal control approach","authors":"Fahad Al Basir, Juan J. Nieto, Aeshah A. Raezah, Teklebirhan Abraha","doi":"10.1140/epjp/s13360-025-06206-2","DOIUrl":"10.1140/epjp/s13360-025-06206-2","url":null,"abstract":"<div><p>This article presents a mathematical model to study malaria transmission dynamics influenced by awareness campaigns and optimal control strategies. Protected human class is included as a model variable that can be increased by social media awareness and treatment, as a result, infected cases are reduced. The nonnegativity and boundedness of the solutions of the model are analyzed. The proposed model possesses two equilibria, namely the disease-free equilibrium and the endemic equilibrium point. The disease-free equilibrium point is stable when the basic reproduction number, <span>({mathcal {R}}_0<1)</span> and endemic equilibrium exists when <span>({mathcal {R}}_0>1)</span>. Consequently, forward bifurcation occurs at <span>({mathcal {R}}_0=1)</span>. Sensitivity analysis is provided which identifies the more important parameters of the model system related to the disease transmission. Finally, optimal control theory has been applied to maximize the number of protected human and minimize the cost of malaria management. The optimal problem comprises of three control parameters, and it is solved using the ‘maximum principle.’ This study concluded that public awareness is important for malaria control, and a combination of awareness-based interventions such as use of bed nets, spraying insecticides, and treatment can optimally increase the protected human as well as minimize the malaria cases cost-effectively.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143740825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Biaxiality dependence of helical pitch, spontaneous polarization and tilt angle in the chiral smectic-C phase of the smectic-A to chiral smectic-C phase transition","authors":"Prabir K. Mukherjee","doi":"10.1140/epjp/s13360-025-06205-3","DOIUrl":"10.1140/epjp/s13360-025-06205-3","url":null,"abstract":"<div><p>The biaxiality dependence of helical pitch, spontaneous polarization and tilt angle in the chiral smectic-C (SmC <sup>*</sup>) phase of the smectic-A to chiral smectic-C (SmA-SmC<sup>*</sup>) phase transition has been studied in the context of Landau–Ginzburg theory. The behavior of biaxiality as a function of temperature in the SmC<sup>*</sup> phase of the SmA-SmC<sup>*</sup> phase transition has been modeled. The dependence of biaxiality on the helical pitch, spontaneous polarization, and tilt angle in the SmC<sup>*</sup> phase has been discussed. The results indicate that the biaxial order and chirality are strongly interconnected with each other.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143740826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Physical aspects of the deformation of (mathbb {Z}_2) kinks in a generalized (phi ^4) model","authors":"F. C. E. Lima, C. A. S. Almeida, Rodolfo Casana","doi":"10.1140/epjp/s13360-025-06203-5","DOIUrl":"10.1140/epjp/s13360-025-06203-5","url":null,"abstract":"<div><p>We study a generalized <span>(phi ^4)</span> model that gives rise to BPS kink–antikink configurations with compacton-like profiles. One observes that the positive parameter controlling the generalizing function promotes an infinity degeneracy of the BPS solutions. We then use the Differential Configurational Complexity technique to distinguish the degenerate configurations, which allows us to obtain the parameter values providing the most likely field profiles. Besides, the analysis of the excitation spectrum of the model shows the existence of translational and vibrational modes. Thus, the emergence of bound states of solitons (bions) and resonance phenomena is guaranteed when analyzing the scattering of kink–antikink structures. In this way, one notes that depending on the initial velocity, the collision can be inelastic or quasi-elastic, even in the case of compacton-like configurations.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143740830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Revisiting the boundary conditions for a Morris-Thorne wormhole","authors":"Peter K. F. Kuhfittig","doi":"10.1140/epjp/s13360-025-06238-8","DOIUrl":"10.1140/epjp/s13360-025-06238-8","url":null,"abstract":"<div><p>In physical science, the concept of <i>emergence</i> is often used to describe phenomena that occur at macroscopic scales but not at microscopic scales. The latter is usually referred to as a <i>fundamental property</i> and the former as an <i>emergent property</i>. In this paper, noncommutative geometry, often viewed as an offshoot of string theory, is the primary fundamental theory that gives rise to macroscopic wormholes and their properties, thereby becoming an emergent phenomenon. As a consequence of these considerations, we will reexamine the boundary conditions that characterize a Morris-Thorne wormhole. The result is a significant modification of the wormhole structure.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143740831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"The rotational relaxation of ro-vibrationally excited H2(1,11) in collision with N2","authors":"Jing Liu, Nurali Habibulla, Lin Mao","doi":"10.1140/epjp/s13360-025-06196-1","DOIUrl":"10.1140/epjp/s13360-025-06196-1","url":null,"abstract":"<div><p>The collisional energy relaxation behavior of the H<sub>2</sub>(<i>v</i> = 1, <i>J</i> = 11) molecule in an H<sub>2</sub>-N<sub>2</sub> mixture was investigated at 300 K using a coherent anti-Stokes Raman spectroscopy technique, focusing on its near-resonant rotation-vibration dynamics. The pressure of the H<sub>2</sub>-N<sub>2</sub> mixture is maintained at 500 Torr, while the molar ratios of N<sub>2</sub> molecules are, respectively, adjusted to 0.2, 0.4, 0.5, 0.6, and 0.7. The H<sub>2</sub>(1,11) molecule is selectively excited through a stimulated Raman pumping technique, and the time-resolved CARS signal is observed from the <i>J</i> ≤ 11 rotational level of H<sub>2</sub> molecules following collisions with N<sub>2</sub>. The results indicate that the rotational relaxation of H<sub>2</sub>(1,11) molecule involves both the multi-quantum relaxation process triggered by H<sub>2</sub>-H<sub>2</sub> collisions and the single-quantum relaxation process via H<sub>2</sub>-N<sub>2</sub> collisions. The rate coefficient for self-relaxation of H<sub>2</sub>-H<sub>2</sub> collisions is (1.35 ± 0.14) × 10<sup>–14</sup> cm<sup>3</sup>s<sup>−1</sup>, whereas the relaxation rate coefficient for H<sub>2</sub>-N<sub>2</sub> collisions is (2.77 ± 0.27) × 10<sup>–14</sup> cm<sup>3</sup>s<sup>−1</sup>. As the molar ratio of N<sub>2</sub> increases, the continuous single-quantum relaxation of H<sub>2</sub>(1,11) molecules with <i>J</i> = 11 → 9 → 7 gradually becomes more pronounced. The rotational temperature of H<sub>2</sub> with various N<sub>2</sub> molar ratios is determined by the relative populations of a rotational Boltzmann distribution. When the molar ratio of N<sub>2</sub> is small, the rotation temperature decreases at a faster rate primarily due to the rapid multi-quantum relaxation resulting from near-resonant collisions between H<sub>2</sub>-H<sub>2</sub>.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Aljawhara Almuqrin, Jamelah S. Al-Otaibi, Norah Alwadai, Badriah Albarzan, M. S. Shams, Yasser S. Rammah, R. A. Elsad
{"title":"Neodymium ion-doped borate-silicate glass: a thorough analysis for applications in optical and protective radiation","authors":"Aljawhara Almuqrin, Jamelah S. Al-Otaibi, Norah Alwadai, Badriah Albarzan, M. S. Shams, Yasser S. Rammah, R. A. Elsad","doi":"10.1140/epjp/s13360-025-06194-3","DOIUrl":"10.1140/epjp/s13360-025-06194-3","url":null,"abstract":"<div><p>In this study, neodymium (Nd)-doped bismuth borosilicate glasses were produced using a melting-quenching technique. The glass density rose, and molar volume fell as the Nd<sup>3+</sup> ion concentration rose. The influence of Nd substitution on radiation shielding as well as optical properties was investigated. The Phy-X/PSD as well as XCOM programs are used to study radiation shielding properties in the gamma-photon energy band of 0.015: 10 MeV. As the Nd<sub>2</sub>O<sub>3</sub> concentration increased, the band gap (E<sub>OPT</sub>) levels dropped from 3.221 toward 3.051 eV during the direct transition as well as from 2.622 to 1.855 eV during the indirect transition. As Nd quantity increased, the molar refractivity rose from 19.497 to 21.106 cm<sup>3</sup>/mol and the refractive index improved from 2.50 to 2.80. The Nd<sub>2</sub>O<sub>3</sub> addition to the glasses led to higher MAC and LAC values. The sample with the highest neodymium doping (Nd-1.2) had the lowest mean free path as well as half-value layer. This demonstrated how neodymium enhances glasses’ capacity to reduce photon radiation. The glass system is suggested as a shielding material in terms of photon attenuation.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
Bhupendra Kumar Shukla, Shambel Sahlu, Değer Sofuoğlu, Preeti Mishra, Alnadhief H. A. Alfedeel
{"title":"Multi-components fluid in f(R, T) gravity with observational constraints","authors":"Bhupendra Kumar Shukla, Shambel Sahlu, Değer Sofuoğlu, Preeti Mishra, Alnadhief H. A. Alfedeel","doi":"10.1140/epjp/s13360-025-06200-8","DOIUrl":"10.1140/epjp/s13360-025-06200-8","url":null,"abstract":"<div><p>In this paper, the accelerating expansion of the universe has been investigated in the multi-components fluid in the coupling of geometry with matter alternative theory <i>f</i>(<i>R</i>, <i>T</i>) gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar <i>R</i> and of the trace of the stress-energy tensor <i>T</i>. To address the late-time accelerating universe, we solve the Friedmann equations via the nonzero divergence of the energy-momentum tensor considered in the presence of a multi-component fluid. The best-fit values of the model parameters are determined using the Markov Chain Monte Carlo (MCMC) simulation using the cosmic chronometers (CC) dataset, which consists of 31 points and the recent Pantheon+ analysis of 1701 light curves of 1550 distinct Type Ia supernovae (SNIa) ranging in redshift from <span>(z = 0.001)</span> to 2.26. The trajectory of the deceleration parameter indicates that the universe has transitioned from a deceleration phase to an acceleration phase. We also look into the behavior of the jerk and snap parameters, the statefinder analysis, the om diagnostic, and the effective EoS parameter. It is shown that the model considered is consistent with the accelerating universe and the predictions of the quintessence model at present.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-025-06200-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143716886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}