Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Author "Melnik, R."
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Abinitio calculations of strain induced relaxed shape armchair graphene nanoribbon
Prabhakar, S.; Melnik, R. (2019)An odd number of zigzag edges in armchair graphene nanoribbons and their mechanical properties (e.g., Young's modulus, Poisson ratio and shear modulus) have potential interest for bandgap engineering in graphene based ... 
Atomistic to continuum model for studying mechanical properties of RNA nanotubes
Badua, S.; Prabhakara, S.; Melnik, R.; Singha, S. (202006)With rapid advancements in the emerging field of RNA nanotechnology, its current and potential applications, new important problems arise in our quest to better understand properties of RNA nanocomplexes. In this paper, ... 
Band structures of cylindrical AlN/GaN quantum dots with fully coupled piezoelectric models
Prabhakar, S.; Melnik, R. (20101231)We study the coupled electromechanical effects in the band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as AlN/GaN quantum dots. Some effects in these systems are essentially nonlinear. ... 
Band structures of laterally coupled quantum dots, accounting for electromechanical effects
Prabhakar, S.; Melnik, R.; Patil, S. (20101231)In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ... 
Berry phase and spin precession without magnetic fields in semiconductor quantum dots
Prabhakar, S.; Melnik, R. (2019)We investigate electric field control of spin manipulation through Berry phase in IIIV semiconductor quantum dots. By utilizing degenerate and nondegenerate perturbation theories, we diagonalize the total Hamiltonian of ... 
Coarsegraining RNA nanostructures for molecular dynamics simulations
Paliy, M.; Melnik, R.; Shapiro, B.A. (20101231)A series of coarsegrained models have been developed for study of the molecular dynamics of RNA nanostructures. The models in the series have one to three beads per nucleotide and include different amounts of detailed ... 
Complex systems in finance: Monte Carlo evaluation of first passage time density functions
Tsviliuk, O.; Zhang, D.; Melnik, R. (20101231)Many examples of complex systems are provided by applications in finance and economics areas. Some of intrinsic features of such systems lie with the fact that their parts are interacting in a nontrivial dynamic manner ... 
Computational Analysis of Pulsed Radiofrequency Ablation in Treating Chronic Pain
Singh, S.; Melnik, R. (201906)In this paper, a parametric study has been conducted to evaluate the effects of frequency and duration of the short burst pulses during pulsed radiofrequency ablation (RFA) in treating chronic pain. Affecting the brain and ... 
Computational aspects of MonteCarlo simulations of the first passage time for multivariate transformed Brownian motions with jumps
Zhang, D.; Melnik, R. (20131231)Many problems in science, engineering, and finance require the information on the first passage time (FPT) of a stochastic process. Mathematically, such problems are often reduced to the evaluation of the probability density ... 
Corrections to finitesize scaling in the $\varphi^4$ model on square lattices
Kaupuzs, J.; Melnik, R.; Rimsans, J. (20160101)Corrections to scaling in the twodimensional (2D) scalar (Formula presented.) model are studied based on nonperturbative analytical arguments and Monte Carlo (MC) simulation data for different lattice sizes L ((Formula ... 
Coupled Electromechanical Behavior of Microtubules
Singh, S.; Melnik, R. (2019)n this contribution, the coupled electromechanical behavior of the microtubules has been systematically investigated utilizing a continuumbased finite element framework. A threedimensional computational model of a mi ... 
Coupled magnetothermoelectromechanical effects and electronic properties of quantum dots
Prabhakar, S.; Melnik, R.; Neittaanmäki, P.; Tiihonen, T. (20131231)For the first time, we systemically analyze the influence of magnetothermoelectromechanical effects on the band structure calculations by using the fully coupled model. We focus on three different types of quantum dots ... 
Coupled thermoelectromechanical models for thermal ablation of biological tissues and heat relaxation time effects
Singh, S.; Melnik, R. (2019)Thermal ablation is a widely applied electrosurgical process in medical treatment of soft biological tissues. Numerical modeling and simulations play an important role in prediction of temperature distribution and ... 
Electrochemical Potential Derived from Atomic Cluster Structures
Du, J.; Xiao, D.; Wen, B.; Melnik, R.; Kawazoe, Y. (20160101)Based on the atomic cluster structures and free electron approximation model, it is revealed that the electrochemical potential (ECP) for the system of interest is proportional to the reciprocal of atomic cluster radius ... 
Excitation of plasmons in a twodimensional electron gas with defects by microwaves: Wakefield method
Takhtamirov, E.; Melnik, R. (20111231)We develop an analytical method to find plasmons generated by microwaves in a twodimensional electron gas with defects. The excitations are expressed in terms of the wake field of a charged particle moving in plasma. The ... 
Functional Geometry of Human Connectomes
Tadic, B.; Andjelkovic, M.; Melnik, R. (201908)Mapping the brain imaging data to networks, where nodes represent anatomical brain regions and edges indicate the occurrence of fiber tracts between them, has enabled an objective graphtheoretic analysis of human connectomes. ... 
Geometry and temperature dependent thermal conductivity of diamond nanowires: A nonequilibrium molecular dynamics study
Guo, J.; Wen, B.; Melnik, R.; Yao, S.; Li, T. (20101231)Using nonequilibrium molecular dynamics methods, the analysis of geometry and temperature dependent thermal conductivities of diamond nanowires is carried out. It is found that at the same temperature conditions, thermal ... 
Hidden electronic rule in the "clusterplusglueAtom" model
Du, J.; Dong, C.; Melnik, R.; Kawazoe, Y.; Wen, B. (20161001)Electrons and their interactions are intrinsic factors to affect the structure and properties of materials. Based on the “clusterclusterplusglueatom” model, an electron counting rule for complex metallic alloys (CMAs) ... 
Higherorder nonlinear electromechanical effects in wurtzite GaN/AlN quantum dots
BahramiSamani, M.; Patil, S.R.; Melnik, R. (20101231)As we demonstrated earlier, conventional mathematical models based on linear approximations may be inadequate in the analysis of properties of lowdimensional nanostructures and band structure calculations. In this work, ... 
Influence of electromechanical effects and wetting layers on band structures of AlN/GaN quantum dots and spin control
Prabhakar, S.; Melnik, R. (20101231)In a series of recent papers we demonstrated that coupled electromechanical effects can lead to pronounced contributions in band structure calculations of low dimensional semiconductor nanostructures (LDSNs) such as quantum ...