PramanaPub Date : 2023-07-12DOI: 10.1007/s12043-023-02582-5
Asha S Kotnurkar, Namrata Kallolikar, Esraa N Thabet
{"title":"Double-diffusive bioconvection effects on multi-slip peristaltic flow of Jeffrey nanofluid in an asymmetric channel","authors":"Asha S Kotnurkar, Namrata Kallolikar, Esraa N Thabet","doi":"10.1007/s12043-023-02582-5","DOIUrl":"10.1007/s12043-023-02582-5","url":null,"abstract":"<div><p>Due to the numerous uses of nanofluids in industry and nanotechnology, scientists and engineers have given special attention to the subject of nanofluid mechanics. In the realm of fluid mechanics, it is a considerably more interesting research topic. Motivated by its useful applications in the rheological modelling of many important liquids, we seek to demonstrate the Jeffrey nanofluid model. The intention is to show the effects of multi-slip boundary condition of peristaltic flow in an asymmetric channel in the presence of viscous dissipation and bioconvection. Double diffusive convective flow is saturated with Jeffrey nanofluid containing gyrotatic micro-organism. The dimensional governing equations are converted into non-dimensional forms by suitable dimensionless parameters. The analytical method has been used to obtain solutions for the non-dimensionless system. The impact of different physical characteristics on velocity, temperature, concentration, volume fraction and trapping phenomenon has been analysed through graphs. From the study, it is observed that the velocity slip parameter increases the velocity profile, whereas the velocity profile decreases in the case of bioconvection Rayleigh number, double-diffusive and nanofluid buoyancy ratio, and it is also noticed that the density of the motile micro-organism is lowered by the Peclet number and for bioconvection constant. The present study is useful in academic research, biomedicine and theoretical studies of hemodynamics, and also micro-organisms that are favourable in maintaining the ecosystem and human health. In a few cases, the current analysis shows a substantial agreement with previously published results.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12043-023-02582-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4495367","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}
PramanaPub Date : 2023-07-12DOI: 10.1007/s12043-023-02588-z
S Nahidinezhad, H Sadeghi
{"title":"Effects of three-nucleon forces in the (d(alpha ,gamma ){^6})Li reaction","authors":"S Nahidinezhad, H Sadeghi","doi":"10.1007/s12043-023-02588-z","DOIUrl":"10.1007/s12043-023-02588-z","url":null,"abstract":"<div><p>Nuclear reaction theory is important, especially at low energies, as are predictions of the characteristics of the heaviest nuclei, including processes for laboratory synthesis, and realistic prediction of many theoretical models of nuclear reaction. The deuteron–alpha radiative capture process is important in the evolution of nuclear physics processes. This reaction is one of the most important processes that happens in stars when helium is transformed into heavier elements. The <span>(d(alpha ,gamma )^6)</span>Li reaction has been studied using effective field theory (EFT), up to next to leading order (NLO). The effects of three-body forces and Coulomb interaction between charged particles were examined assuming that <span>(alpha )</span>-particles had no structure. The scattering amplitude is calculated for the sum of the multipole transitions <span>( E_1 )</span> and <span>( E_2 )</span> at the starting state of the deuteron–<span>(alpha )</span> <i>P</i>-wave. The reported findings are consistent with the experimental data and previous theoretical computations, with energy relevant to Big-Bang Nucleosynthesis (BBN).</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4496223","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}
PramanaPub Date : 2023-07-12DOI: 10.1007/s12043-023-02587-0
K Ramkumar, Harishyam Kumar, Pankaj Jain
{"title":"A toy model for low-energy nuclear fusion","authors":"K Ramkumar, Harishyam Kumar, Pankaj Jain","doi":"10.1007/s12043-023-02587-0","DOIUrl":"10.1007/s12043-023-02587-0","url":null,"abstract":"<div><p>We study the fusion of a proton with a nucleus with the emission of two photons at low incident energy of the order of eV or smaller. We use a step model for the repulsive potential between the proton and the nuclei. We consider the reaction both in free space and inside a medium. We make a simple model for the medium by assuming a hard wall potential beyond a certain length scale. This essentially leads to discretisation of the energy spectrum which is expected inside a medium and is seen both for a crystalline lattice structure and for amorphous materials. We use second-order perturbation theory to compute the transition rate. We find that the rate in free space is very small. However, in the medium, the rate may be substantial. Hence, we conclude that nuclear fusion reactions may take place at low energies at observable rates.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4499957","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}
PramanaPub Date : 2023-07-12DOI: 10.1007/s12043-023-02573-6
Nursena Günhan Ay, Emrullah Yaşar
{"title":"Novel dispersive soliton solutions to a fractional nonlinear Schrödinger equation related with ultrashort pulses","authors":"Nursena Günhan Ay, Emrullah Yaşar","doi":"10.1007/s12043-023-02573-6","DOIUrl":"10.1007/s12043-023-02573-6","url":null,"abstract":"<div><p>In this study, the third-order fractional nonlinear Schrödinger equation (3-FNLS), which is crucial in fibre optics, is discussed. The equation models propagation of light in optical fibres when ultrashort pulses are generated. In order to explain the physical phenomena, beta, conformable and <i>M</i>-truncated fractional derivative operators are considered. Exact solutions were sought using the extended modified auxiliary equation mapping method (EMAEM). Three-dimensional (3D) and two-dimensional (2D) graphics were designed for each fractional derivative operator of several solutions corresponding to various fractional order values. These graphics were used to study the behaviour of the solutions for conformable, beta and <i>M</i>-truncated fractional derivative operators and to make significant comparisons.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12043-023-02573-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4495370","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}
PramanaPub Date : 2023-07-12DOI: 10.1007/s12043-023-02581-6
S Suresh Kumar
{"title":"The deformed modified Korteweg–de Vries equation: Multi-soliton solutions and their interactions","authors":"S Suresh Kumar","doi":"10.1007/s12043-023-02581-6","DOIUrl":"10.1007/s12043-023-02581-6","url":null,"abstract":"<div><p>In this paper, we demonstrate how Hirota’s bilinear method can be employed to derive single-soliton, two-soliton and three-soliton solutions of the deformed modified Korteweg–de Vries (KdV) equation. We note that the derived soliton solutions depend on the time-dependent function, revealing that the speed of the soliton solutions no longer explicitly depends on wave amplitude. Finally, we graphically demonstrate the evolution of multi-soliton solutions and their interactions.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12043-023-02581-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4499969","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}
PramanaPub Date : 2023-07-12DOI: 10.1007/s12043-023-02590-5
S Sabarathinam, Viktor Papov, Zi-Peng Wang, R Vadivel, NALLAPPAN Gunasekaran
{"title":"Dynamics analysis and fractional-order nonlinearity system via memristor-based Chua oscillator","authors":"S Sabarathinam, Viktor Papov, Zi-Peng Wang, R Vadivel, NALLAPPAN Gunasekaran","doi":"10.1007/s12043-023-02590-5","DOIUrl":"10.1007/s12043-023-02590-5","url":null,"abstract":"<div><p>This article discusses the utilisation of a Chua oscillator with a memristor to produce chaos with minimal nonlinearity. The memristor, a device that changes its flux or charges over time, has its nonlinear strength altered fractionally to determine the lowest-order memristor nonlinearity for generating chaos. An experimental analog circuit in real-time has been constructed. A linear parameter varying (LPV) approach, incorporating a suitable Lyapunov functional (LK) method, has been introduced to find new sufficient conditions for the robust stability of the resulting closed-loop system through linear matrix inequalities (LMIs). By observing the behaviour of the system without control, it is possible to understand the basic characteristics of chaotic oscillations and how they are affected by changes in the fractional order. These results can then be used as a starting point to study the effectiveness of various control techniques, such as feedback control, in reducing chaos and stabilising the system of this article. The efficiency of the cost-function-based control scheme is evaluated using the simulation results and relevant applications are addressed.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4498612","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}
PramanaPub Date : 2023-07-10DOI: 10.1007/s12043-023-02584-3
Moirangthem Shubhakanta Singh, R K Brojen Singh
{"title":"Evolution of language driven by social dynamics","authors":"Moirangthem Shubhakanta Singh, R K Brojen Singh","doi":"10.1007/s12043-023-02584-3","DOIUrl":"10.1007/s12043-023-02584-3","url":null,"abstract":"<div><p>The survival of endangered languages in complex language competition depends on the socio-cultural status and honour endowed (by itself and by the other) among them. The restriction in the endorsement of this honour leads to the extinction of one language and rise of the other. Endorsing proper mutual honour to each other triggers the co-existence of people speaking the two languages and this can save both languages from extinction. The loss of respect to each other leads to the death of both languages. We found a minimal or critical mutual honour <span>(u_c)</span> which protects the two languages from extinction. The increase in mutual honour from this minimal value allows an increase in the populations of the people who speak the two languages. The state of co-existence of competing languages abolishes the concept of minority and majority in language competition, which can be obtained by mutual honour. Further, excess of biased honour to a particular language (minority or majority) forces the language to extinct. In mean-field approximation of language competition, magnetisation parameter can be taken as an indicator of the survival of a language.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12043-023-02584-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4423316","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}
PramanaPub Date : 2023-07-05DOI: 10.1007/s12043-023-02578-1
Ben Gao, Liu Yang
{"title":"Symmetries of the one-dimensional hyperbolic Lagrangian mean curvature flow","authors":"Ben Gao, Liu Yang","doi":"10.1007/s12043-023-02578-1","DOIUrl":"10.1007/s12043-023-02578-1","url":null,"abstract":"<div><p>The one-dimensional hyperbolic mean curvature flow for Lagrangian graphs is discussed in this paper. In the beginning, infinitesimal generators, symmetry groups and an optimal system of symmetries for the proposed hyperbolic Lagrangian mean curvature flow are obtained based on the Lie symmetry approach. Additionally, several invariant solutions are discovered using reduced equations. More specifically, we use the power series method to attain explicit solutions.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4214733","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":"DFT estimation of structural parameters and band gaps of III–V (GaP, AlP, InP, BP) and II–VI (BeX, MgX, CdX: X(=)O, S, Se, Te) semiconductors","authors":"Sandeep Arora, Dharamvir Singh Ahlawat, Dharmbir Singh","doi":"10.1007/s12043-023-02577-2","DOIUrl":"10.1007/s12043-023-02577-2","url":null,"abstract":"<div><p>In density functional theory (DFT)-based computational methods, electronic properties at optimised atomic position and lattice constants are calculated for semiconducting materials belonging to III–V (GaP, AlP, InP, BP) and II–VI (BeX, MgX, CdX: X =O, S, Se, Te) groups. This paper reports the calculation of equilibrium lattice constants and bulk moduli of the materials under study using five different DFT functionals LDA, PBE, WC, PBEsol and SCAN. The results show that LDA underestimates while PBE overestimates the experimental lattice constants for all these semiconducting materials studied with a mean absolute relative error (%) of the order of 1%. Such trends in LDA and PBE results agree with the earlier reported work. The lattice constants calculated using WC, PBEsol and SCAN are in better agreement with the experiment compared to optB88vdW functional reported by others. On an average, WC and PBEsol functional have been found to be better in estimating the lattice constants and bulk modulus of II–VI binary compounds. We also present the band-gap calculations of the materials under study using different exchange-correlation functionals. The modified Becke–Johnson approximation suggested by Tran and Blaha is found to provide a better agreement with the experimentally reported results than the standard DFT method.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4547399","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}
PramanaPub Date : 2023-06-30DOI: 10.1007/s12043-023-02568-3
P Srinivas, J Mahadev, K Hemalatha, M B Nandaprakash, R Somashekar
{"title":"Topological analysis and molecular modelling of liquid crystalline p-azoxyanisole and azobenzene compounds","authors":"P Srinivas, J Mahadev, K Hemalatha, M B Nandaprakash, R Somashekar","doi":"10.1007/s12043-023-02568-3","DOIUrl":"10.1007/s12043-023-02568-3","url":null,"abstract":"<div><p>We have investigated liquid crystalline <i>p</i>-azoxyanisole and azobenzene based compounds using reported experimental crystal structure data and molecular dynamic study to understand the underlying reasons why <i>p</i>-azoxyanisole shows mesophase and not azobenzene compounds. Simulated moduli and molecular polarizabilities of PAA are in agreement with the reported experimental values. This study also gives an insight to understand the structure–property relation in these compounds. For the first time, topological data analysis has been carried out using two-dimensional plot that is generated using <span>( platon)</span> and.cif files of different compounds.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12043-023-02568-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5154717","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}