SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach

Balaž, Antun; Vidanović, Ivana; Stojiljković, Danica; Vudragović, D.; Belić, A.; Bogojević, A.

doi:10.4208/cicp.131210.180411a

Cited by 7 publications

(6 citation statements)

References 39 publications

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“…In order to verify our analytical results, we perform high-precision numerical simulations [97][98][99][100][101][102][103][104][105]. At first we focus on a description of the BEC dynamics, and compare our analytical results for the radial and longitudinal widths of the condensate obtained perturbatively to the direct numerical solutions of equations (7)- (8).…”

Section: Comparison With Numerical Resultsmentioning

confidence: 99%

Geometric resonances in Bose–Einstein condensates with two- and three-body interactions

Al-Jibbouri¹,

Vidanović²,

Balaž³

et al. 2013

J. Phys. B: At. Mol. Opt. Phys.

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Abstract.We investigate geometric resonances in Bose-Einstein condensates by solving the underlying time-dependent Gross-Pitaevskii (GP) equation for systems with two-and three-body interactions in an axially-symmetric harmonic trap. To this end, we use a recently developed analytical method [Vidanović I et al 2011 Phys. Rev. A 84 013618], based on both a perturbative expansion and a Poincaré-Lindstedt analysis of a Gaussian variational approach, as well as a detailed numerical study of a set of ordinary differential equations for variational parameters. By changing the anisotropy of the confining potential, we numerically observe and analytically describe strong nonlinear effects: shifts in the frequencies and mode coupling of collective modes, as well as resonances. Furthermore, we discuss in detail the stability of a Bose-Einstein condensate in the presence of an attractive two-body interaction and a repulsive threebody interaction. In particular, we show that a small repulsive three-body interaction is able to significantly extend the stability region of the condensate.

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Section: Comparison With Numerical Resultsmentioning

confidence: 99%

Geometric resonances in Bose–Einstein condensates with two- and three-body interactions

Al-Jibbouri¹,

Vidanović²,

Balaž³

et al. 2013

J. Phys. B: At. Mol. Opt. Phys.

Self Cite

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“…Monte Carlo (MC) simulations are coupled with an efficient iterative algorithm implemented on the grid platform and used to investigate electrical properties of CNT networks [26,27,28,29]. Details on comparison of model with existing experimental data found in literature can be found in Supplementary Information.…”

Section: Methodsmentioning

confidence: 99%

Random networks of carbon nanotubes optimized for transistor mass-production: searching for ultimate performance

Žeželj¹,

Stanković²

2016

Semicond. Sci. Technol.

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Abstract. Random networks of single-walled carbon nanotubes (CNTs) usually contain both metallic (m-CNTs) and semiconducting (s-CNTs) nanotubes with an approximate ratio of 1:2, which leads to a trade-off between on-conductance and on/off ratio. We demonstrate how the design problem can be solved with a realistic numerical approach. We determine CNT density, length, and channel dimensions for which CNT thin-film transistors (TFTs) simultaneously attain on-conductance higher than 1 µS and on/off ratio higher than 10 4 . Fact that asymmetric systems have more pronounced finite-size scaling behavior than symmetric, enables us additional design freedom. A realisation probability of desired characteristics higher than 99% is obtained only with channel aspect length to width ratios L CH /W CH < 1.2 and normalized channel size L CH W CH /l 2 CNT > 250 for a range of CNT lengths l CNT = 4 − 20 µm.

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“…Monte Carlo (MC) simulations are coupled with an efficient iterative algorithm implemented on the grid platform and used to investigate the conductivity of stick systems 20,23,24 . We have considered the two-dimensional systems with isotropically placed widthless sticks of length l. The centers of the sticks are randomly positioned and oriented inside the square system with size L. Two electrodes (i.e., conducting bars) are placed at the left and right sides.…”

Section: Methodsmentioning

confidence: 99%

From percolating to dense random stick networks: Conductivity model investigation

Žeželj,

Stanković

2012

Preprint

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In a Monte Carlo study the conductivity of two-dimensional random stick systems is investigated from the percolation threshold up to ten times the percolation threshold density. We propose a model explicitly depending on the stick density and junction-to-stick conductance ratio. The model describes the transition from the conductivity determined by the structure of a percolating cluster to the conductivity of the dense random stick networks. The model is motivated by the observed densities of the sticks and contacts involved in the current flow. The finite-size scaling effects are also included in the description. The derived model for conductivity should be broadly applicable to the random networks of the rodlike particles.

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SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach

Cited by 7 publications

References 39 publications

Geometric resonances in Bose–Einstein condensates with two- and three-body interactions

Geometric resonances in Bose–Einstein condensates with two- and three-body interactions

Random networks of carbon nanotubes optimized for transistor mass-production: searching for ultimate performance

From percolating to dense random stick networks: Conductivity model investigation

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