Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Author "Melnik, R."
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Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique
Prabhakar, S.; Raynolds, J.; Inomata, A.; Melnik, R. (20101231)The spin of a single electron in an electrically defined quantum dot in a twodimensional electron gas can be manipulated by moving the quantum dot adiabatically in a closed loop in the twodimensional plane under the ... 
Mechanism of hydrogen production via water splitting on 3CSiC's different surfaces: A firstprinciples study
Du, J.; Wen, B.; Melnik, R. (20141231)The reaction mechanism of producing hydrogen via water splitting on the different surfaces of cubic silicon carbide (3CSiC), the adsorption energy and the activation energy have been studied here by using density functional ... 
Microstructures of constrained shape memory alloy nanowires under thermal effects
Dhote, R.P.; Melnik, R.; Zu, J.W.; Wang, L. (20101231)In this paper, martensitic transformations in constrained FePd nanowires are studied using a mesoscopic model analyzed in detail numerically in our earlier papers. The dynamics of squaretorectangular transformation is ... 
Modeling latent infection transmissions through biosocial stochastic dynamics
Melnik, R.; Tadic, B. (202008)The events of the recent SARSCoV2 epidemics have shown the importance of social factors, especially given the large number of asymptomatic cases that effectively spread the virus, which can cause a medical emergency to ... 
Modeling microstructure evolution in shape memory alloy rods via Legendre wavelets collocation method
He, X.; Tong, Z.; Du, H.; Wang, D.; Wang, L.X.; Melnik, R. (2019)Microstructures play an important role in the research on shape memory alloys (SMA). By using mathematical modeling tools to study microstructures, it is possible to predict the behaviors of these materials under applied ... 
Molecular dynamics study on diamond nanowires mechanical properties: Strain rate, temperature and size dependent effects
Guo, J.; Wen, B.; Melnik, R.; Yao, S.; Li, T. (20111231)Using molecular dynamics simulations, strain rate, temperature and size dependent mechanical properties of < 001 > orientation diamond nanowires are investigated. It is found that, for the same crosssectional areas, ... 
Molecular dynamics study on ZnO nanowires mechanical properties: Strain rate, temperature and size dependent effects
Guo, J.; Wen, B.; Melnik, R. (20121231)Using molecular dynamics simulations, strain rate, temperature, size and orientation dependent mechanical properties of zinc oxide (ZnO) nanowire are carried out with tensile loading. It is found that, for the same ... 
Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies
Wang, L.; Melnik, R. (20121231)Shape memory alloy (SMA) is one of the novel advanced functional materials that has an increasing range of current and potential applications, including smart materials and structures, biomedical and nanotechnologies. ... 
Numerical analysis of complex systems evolution with phase transformations at different spatial scales
Melnik, R.; Dhote, R.P.; Zu, J.; Tsviliuk, O.I.; Wang, L.X. (20101231)This paper shows the existence of a critical dimension for finite length nanowires exhibiting shape memory effects. We give a brief survey of phase transformations, their classifications, and provide the basis of mathematical ... 
On the Perturbation Methods for Vibration Analysis of Linear TimeVarying Systems
Yang, X.D.; Liu, M.; Zhang, W.; Qian, Y.J.; Melnik, R. (20160101)Some perturbation methods in the studying vibrations of the linear timevarying (LTV) system are discussed. Three classical perturbation methods, namely, averaging method, harmonic balance method, and multiple scales method ... 
Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
Liang, F.; Yang XD; Zhang, W.; Qian, Y.J.; Melnik, R. (2019)Nonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear nonautonomous governing ... 
Pseudospin lifetime in relaxedshape armchair graphene nanoribbons due to inplane phonon modes
Prabhakar, S.; Melnik, R.; Bonilla, L. (20160101)We study the influence of ripple waves on the band structures of strained armchair graphene nanoribbons. We argue that the Zeeman pseudospin (pspin) splitting energy induced by ripple waves might not be neglected for ... 
Radiofrequency Ablation for Treating Chronic Pain of Bones: Effects of Nerve Locations
Singh, S.; Melnik, R. (201905)The present study aims at evaluating the effects of target nerve location from the bone tissue during continuous radiofrequency ablation (RFA) for chronic pain relief. A generalized threedimensional heterogeneous computational ... 
Spectral properties of hyperbolic nanonetworks with tunable aggregation of simplexes
Dankulov, M.M.; Tadic, B.; Melnik, R. (2019)Cooperative selfassembly is a ubiquitous phenomenon found in natural systems which is used for designing nanostructured materials with new functional features. Its origin and mechanisms, leading to improved functionality ... 
Spinorbit interaction in threedimensionally bounded semiconductor nanostructures
Takhtamirov, E.; Melnik, R. (20101231)The structural inversion asymmetryinduced spinorbit interaction of conduction band electrons in zincblende and wurtzite semiconductor structures is analysed allowing for a threedimensional (3D) character of the external ... 
Stress induced polarization switching and coupled hysteretic dynamics in ferroelectric materials
Wang, L.; Melnik, R.; Lv, F. (20111231)The dynamic responses of ferroelectric materials upon external mechanical and electrical stimulations are inherently nonlinear and coupled. In the current paper, a macroscopic differential model is constructed for the ... 
Thermal ablation of biological tissues in disease treatment: A review of computational models and future directions
Singha, S.; Melnik, R. (202003)Percutaneous thermal ablation has proved to be an effective modality for treating both benign and malignant tumors in various tissues. Among these modalities, radiofrequency ablation (RFA) is the most promising and widely ... 
Three Dimensional Metallic Carbon from Distorting sp3Bond
Cheng, Y.; Melnik, R.; Kawazoe, Y.; Wen, B. (20160101)Owing to the outstanding properties of metallic carbon as well as their great potential applications, design and synthesis of metallic carbon have long attracted considerable attention. In this work, a new threedimensional ... 
The topology of higherorder complexes associated with brain hubs in human connectomes
Andjelkovic, M.; Bosiljka, T.; Melnik, R. (20201201)Higherorder connectivity in complex systems described by simplexes of different orders provides a geometry for simplexbased dynamical variables and interactions. Simplicial complexes that constitute a functional geometry ... 
Tuning $g$factor of electrons through spinorbit coupling in GaAs/AlGaAs conical quantum dots
Prabhakar, S.; Melnik, R. (20160101)We investigate band structures of (Formula presented.) threedimensional conical quantum dots (QDs). In particular, we explore the influence of the Rashba and Dresselhaus spinâ€“orbit couplings in the variation of effective ...