A theoretical model for investigating the effect of vacuum fluctuations on the electromechanical stability of nanotweezers

Farrokhabadi, Amin; Mokhtari, J.; Koochi, Ali; Abadyan, Mohamadreza

doi:10.1007/s12648-014-0619-y

Cited by 22 publications

(9 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The diversity of these studies was expressed in several sections. In the literature, radiative correction to the Casimir energy has been conducted for various quantum fields under different boundary conditions (4). In addition, this quantity in some curved manifolds was also obtained previously (7; 9).…”

Section: Introductionmentioning

confidence: 69%

Radiative Correction to The Casimir Energy with Mixed Boundary Condition in 2+1 Dimensions

Valuyan

2020

Preprint

View full text Add to dashboard Cite

In the present study, the zero-and first-order radiative correction to the Casimir energy for the massive and massless scalar field confined with mixed (Neumann-Dirichlet) boundary condition between two parallel lines in 2 + 1 dimensions for the self-interacting φ 4 theory was computed. The main point in this study is the use of a special program to renormalize the bare parameters of the Lagrangian. The counterterm used in the renormalization program, which was obtained systematically position-dependent, is consistent with the boundary condition imposed on the quantum field. To regularize and remove infinities in the calculation process of the Casimir energy, the Box Subtraction Scheme as a regularization technique was used. In this scheme, two similar configurations are usually introduced, and the vacuum energies of these two configurations in proper limits are subtracted from each other. The final answer for the problem is finite and consistent with the expected physical basis. We also compared the new result of this paper to the previously reported results in the zero-and first-order radiative correction to the Casimir energy of scalar field in two spatial dimensions with Periodic, Dirichlet, and Neumann boundary conditions. Finally, all aspects of this comparison were discussed.

show abstract

Section: Introductionmentioning

confidence: 69%

Radiative Correction to The Casimir Energy with Mixed Boundary Condition in 2+1 Dimensions

Valuyan

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…It is worth to note that the logarithmic correction to the geometric capacitance in (12) has a doubled coefficient with respect the analogous term in (7). The two limits do not commute, as far as the short distance behavior is concerned, a circumstance noticed in [1,2] for the analogous case of discs of different radii.…”

Section: Introductionmentioning

confidence: 97%

“…The problem of forces between two close conductors has an obvious importance in the physics of nanoelectromechanical systems (NEMS). The measure of subtle effects as Casimir forces, requires a control on various effects, the main being the elastic stresses and the electrostatic forces, see for example [6,7]. A precise control on the electrostatic force is helpful in these cases.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Results for Capacitances and Forces in cylindrical systems

Paffuti

2018

Preprint

View full text Add to dashboard Cite

In this paper we report on some new results concerning the behavior of forces between two equal circular electrodes with finite thickness. We show that for close electrodes different scenarios can result, depending on the thickness and on the ratio of charges on the conductors. Attractive or repulsive forces can appear depending on the parameters and on the separation of the electrodes. We give a unified description of cylindrical systems using an high precision method based on a Galerkin expansion and we check our results with a quite sophisticated boundary element method (BEM). We perform a preliminary study of a single cylinder (both full and hollow) to check the method and to improve several existing results and compute some relevant parameters as the quadrupole moment and the polarizability.

show abstract

“…Many investigators have studied the mechanical characteristics of these miniature structures [1][2][3][4]. The pull-in instability of conventional NEMS with simple beam-type electrode is studied in many articles [4][5][6]. It can be seen that few articles analyzed pull-in instability of U-shaped NEMS.…”

Section: Introductionmentioning

confidence: 99%

Dynamic instability analysis of U-shaped electromechanical nano-sensor operated in vdW regime

Keivani¹,

Ghahremani²,

Koochi³

et al. 2018

J. vibroeng.

View full text Add to dashboard Cite

U-shape nanoelectromechanical systems (NEMS) are potential for developing miniature sensors. While the electro-mechanical performance of conventional beam-type NEMS has been exclusively addressed in the literature, few works have considered this phenomenon in U-shaped systems. Herein, the static and dynamic pull-in instability of the U-shaped NEMS is investigated under the presence of vdW force. Based on the recently developed consistent couple stress theory (CCST), the size-dependent constitutive equation is derived. Two types of the beam cross-sections including rectangular and circular geometries are considered. The nonlinear equations are solved by employing Ray-leigh-Ritz solution method. The developed model is validated by comparison with the results presented in literature. The effect of various parameters on the static and dynamic pull-in parameters, phase plans and stability threshold of the system is discussed. The obtained results reveal that the vdW attraction decreases the pull-in voltage while the size dependency enhances the instability voltage. On the other hand, the presented model demonstrates that characteristics of the tip-plate can change the pull-in parameters significantly.

show abstract

A theoretical model for investigating the effect of vacuum fluctuations on the electromechanical stability of nanotweezers

Cited by 22 publications

References 40 publications

Radiative Correction to The Casimir Energy with Mixed Boundary Condition in 2+1 Dimensions

Radiative Correction to The Casimir Energy with Mixed Boundary Condition in 2+1 Dimensions

Results for Capacitances and Forces in cylindrical systems

Dynamic instability analysis of U-shaped electromechanical nano-sensor operated in vdW regime

Contact Info

Product

Resources

About