In this paper, the flow-induced vibration and flutter instability of cantilever carbon nanotubes conveying fluid and modeled as a thin-walled Timoshenko beam are investigated. Analytically nonlocal theory, transverse shear and rotary inertia effects are incorporated in this study. The governing equations and the boundary conditions are derived through Hamilton's principle. Numerical analysis is...

The Letter reconsiders a result obtained by Chrétien and Peierls in 1954 within nonlocal QED in 4D [Proc. Roy. Soc. London A 223, 468]. Starting from secondly quantized fermions subject to a nonlocal action with the kernel [i 6∂x a (x)− m b (x)] and gauge covariantly coupled to an external U(1) gauge field they found that for a = b the induced gauge field action cannot be made finite irrespecti...

A relation is found between nonlocal conserved charges in string theory and certain ghost-number two states in the BRST cohomology. This provides a simple proof that the nonlocal conserved charges for the superstring in an AdS 5 × S 5 background are BRST-invariant in the pure spinor formalism and are κ-symmetric in the Green-Schwarz formalism. 1. Introduction Maldacena's conjecture that d = 4 N...

To understand sparse systems, we must account for both strong local atom bonds and weak nonlocal van der Waals forces between atoms separated by empty space. A fully nonlocal functional form [Phys. Rev. B 62, 6997 (2000)]] of density-functional theory (DFT) is applied here to the layered systems graphite, boron nitride, and molybdenum sulfide to compute bond lengths, binding energies, and compr...

Abstract Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a “hard shere” like potential and the magnetic flux is examined. An anomalous total cross section is revealed at the specific quantized magnetic flux at low energy which helps explain the composite fermio...

In the present study, the buckling analysis of single-walled carbon nanotubes (SWCNT) on the basis of a new refined beam theory is analyzed. The SWCNT is modeled as an elastic beam subjected to unidirectional compressive loads. To achieve this aim, the new proposed beam theory has only one unknown variable which leads to one equation similar to Euler beam theory and is also free from any shear ...

Abstract: The current paper is concerned with the controllability of nonlocal secondorder impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces. Using the theory of a strongly continuous cosine family of bounded linear operators, stochastic analysis theory and with the help of the Banach fixed point theorem, we derive a ne...

We study the curl-div-system with variable coefficients and a nonlocal homogenisation problem associated it. Using, in part refining, techniques from H-convergence for closed Hilbert complexes, we define appropriate topology possibly non-periodic curl-div systems to model highly oscillatory behaviour of on small scales. address under various boundary conditions analyse limit ratio scale over la...