Semi-classical modeling of nano-mechanical transistors

Scorrano, Alessandro; Carcaterra, Antonio

doi:10.1016/j.ymssp.2013.02.013

Cited by 8 publications

(6 citation statements)

References 20 publications

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“…In this section we explain the basic mechanism of the electron shuttle (see also figure 1) before introducing the mathematical descriptions in section 3. The shuttle is composed of a metallic grain [19][20][21] or molecular cluster [22,68] and a nanomechanical oscillator (e.g. a cantilever [69] or an oscillating molecule [18,26]), which hosts the grain or cluster and can oscillate.…”

Section: Phenomenologymentioning

confidence: 99%

Stochastic thermodynamics of self-oscillations: the electron shuttle

et al. 2019

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Self-oscillation is a phenomenon studied across many scientific disciplines, including the engineering of efficient heat engines and electric generators. We investigate the single electron shuttle, a model nanoscale system that exhibits a spontaneous transition towards self-oscillation, from a thermodynamic perspective. We analyse the model at three different levels of description: The fully stochastic level based on Fokker-Planck and Langevin equations, the mean-field (MF) level, and a perturbative solution to the Fokker-Planck equation that works particularly well for small oscillation amplitudes. We provide consistent derivations of the laws of thermodynamics for this model system at each of these levels. At the MF level, an abrupt transition to self-oscillation arises from a Hopf bifurcation of the deterministic equations of motion. At the stochastic level, this transition is smeared out by noise, but vestiges of the bifurcation remain visible in the stationary probability density. At all levels of description, the transition towards self-oscillation is reflected in thermodynamic quantities such as heat flow, work and entropy production rate. Our analysis provides a comprehensive picture of a nano-scale self-oscillating system, with stochastic and deterministic models linked by a unifying thermodynamic perspective.

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Section: Phenomenologymentioning

confidence: 99%

Stochastic thermodynamics of self-oscillations: the electron shuttle

et al. 2019

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“…For example, if the nanotubes are to be used as nano mechanical resonators, the oscillation frequency is a key property of the resonator. Moreover, the e ective elastic modulus of a nanotube may be indirectly determined from its measured natural frequencies or mode shapes if a su ciently accurate theoretical model is used [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear free and forced vibrations of curved single walled carbon nanotube on a Pasternak elastic foundation

2016

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Based on elastic continuum mechanics, the nonlinear free and forced vibrations of an embedded single-walled carbon nanotube with waviness along its axis were analyzed. The single-walled carbon nanotube was embedded in a Pasternak elastic foundation. Two analytical approaches were utilized to obtain the frequency-amplitude relationship of the free vibrational model, and one other analytical approach was used to obtain the forced vibrations of the curved single-walled carbon nanotube on the Pasternak elastic foundation. Subsequently, a parametric study was performed to study the importance of di erent parameters, such as the amplitude of oscillation and the curvature radius, on the nonlinear behavior of the system. Also, a numerical simulation was carried out to obtain the results and investigate the accuracy of the analytical solution methods. Comparison of the results obtained by the proposed methods shows excellent agreement with those obtained by the numerical solution.

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“…The rapid development of the different branches of technology and applied physical sciences in the last decade has revealed the importance of the subject matter of electromagnetic interactions in deformable solids [1][2][3][4][5][6][7][8][9]. There are many books englobing the subject of electromagnetic interactions in deformable media [10][11][12][13], others are confined to magneto-and thermo-magneto-elasticity and applications [14][15][16][17], General field equations, boundary conditions and jump conditions for the electrodynamics of deformable bodies may be found in [18].…”

Section: Introductionmentioning

confidence: 99%