Use of Displacement-Momentum Commutation Rules

Sajfert, Vjekoslav; Mali, Petar; Bednar, N.; Pop, Nicolina; Popov, D. G.; Tošić, B. S.

doi:10.1166/qm.2012.1011

Cited by 34 publications

(35 citation statements)

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“…[28][29][30][31][32][33][34][35][36][37] Quantum mechanics of graphene nanodevices should be included in further work to reveal the structural and electronic properties of unusual carbon nanostructures, the electron transport properties, and the influence of electric and magnetic fields. [38][39][40][41][42][43][44][45][46][47][48][49] …”

Section: Discussionmentioning

confidence: 99%

Molecular Dynamics Simulation on Asymmetric Oscillations of Graphene Nanoribbon

Lee¹,

Lee²,

Kang³

2013

Jnl of Comp & Theo Nano

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We investigated a both-side clamped graphene-ribbon resonator by using classical molecular dynamics simulation. Dynamic features of the graphene-resonator were analyzed by the variations of its center displacement, its edge tension, the kinetic energy, and its center velocity. Especially the trace of the tension variation gave very important information to get the dynamic feature of the graphene resonator. Even though the vibration of the displacement was slightly asymmetrical due to its harmonic motions, the graphene resonator worked in stable. The effective spring constant of the graphene resonator in this work was in good agreement with the previous experiments. Such ultra-high frequency graphene resonators will facilitate the development of fast scanning probe microscopes, resonant force microscopes, mechanical supercomputers, ultrahigh frequency tuners, and nanodevices for high-frequency signal processing and biological imaging.

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Section: Discussionmentioning

confidence: 99%

Molecular Dynamics Simulation on Asymmetric Oscillations of Graphene Nanoribbon

Lee¹,

Lee²,

Kang³

2013

Jnl of Comp & Theo Nano

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“…Extensive literature on the topic is now available and we can only mention a few recent interesting investigations in Refs. [22][23][24][25][26][27][28][29].…”

Section: Research Articlementioning

confidence: 99%

Free Vibrations in a Spherical Non-Homogeneous Elastic Region

Abd-Alla¹

2013

j comput theor nanosci

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The objective of this paper is to study a natural frequencies of axisymmetric radial vibrations for transversely orthotropic material in a spherical non-homogeneous elastic region. The wave propagation of free harmonic vibrations in hollow and solid sphere of orthotropic material is discussed on the basis of the linear theory of elasticity. The one-dimensional equation of elastodynamic is solved in terms of radial displacement. The determination is concerned with the eigenvalues of the natural frequency of the radial vibrations for different boundary conditions in the case of harmonic vibrations. The natural frequencies are calculated numerically. The numerical results of the frequency equation are discussed in detail for various inhomogeneity effect for different cases by figures. The results obtained are compared in the corresponding non-homogeneous for homogeneous and isotropic case. The results indicate that the effect of inhomogeneity is very pronouced.

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“…[1][2][3][4][5][6][7][8] In addition to modeling and simulation methods, the field of nanotechnology was deepened using nano fabrication techniques in order to bring the simulation results in reality. [9][10] Nanotechnology in general and nano engineering in particular possess diverse aspects.…”

Section: Introductionmentioning

confidence: 99%

Application of Molecular Dynamics in Mechanical Characterization of Carbon Nanocones

Fakhrabadi¹,

Dadashzadeh²,

Norouzifard³

et al. 2013

j comput theor nanosci

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The paper presents the molecular dynamics simulation of the elastic, failure, buckling and vibrational behaviors of the carbon nanocones (CNCs) with different geometries. First, the elastic moduli of the CNCs are presented for different geometries and the effects of various loading rates and temperature variations on the rupture points of a CNC are investigated. Second, the buckling phenomena of the CNCs with different geometries are studied and the effects of mentioned conditions on the critical buckling stresses of a CNC are discussed. Third, the first natural frequencies of different CNCs are presented and the effects of temperature variations on the natural frequencies are studied.

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Use of Displacement-Momentum Commutation Rules

Cited by 34 publications

References 0 publications

Molecular Dynamics Simulation on Asymmetric Oscillations of Graphene Nanoribbon

Molecular Dynamics Simulation on Asymmetric Oscillations of Graphene Nanoribbon

Free Vibrations in a Spherical Non-Homogeneous Elastic Region

Application of Molecular Dynamics in Mechanical Characterization of Carbon Nanocones

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