scholarly journals Plasticity in inhomogeneously strained Au nanowires studied by Laue microdiffraction

MRS Advances ◽  
2018 ◽  
Vol 3 (39) ◽  
pp. 2331-2339
Author(s):  
Z. Ren ◽  
T.W. Cornelius ◽  
C. Leclere ◽  
A. Davydok ◽  
J. -S. Micha ◽  
...  
Keyword(s):  
Md Simulations ◽  
Diffraction Peak ◽  
Gold Nanowires ◽  
Slip Systems ◽  
One Dimensional ◽  
Three Point Bending ◽  
Orientation Maps ◽  
Au Nanowires ◽  
Image Position ◽  
Laue Microdiffraction

ABSTRACTPlasticity in as-grown gold nanowires deformed in three-point bending configuration was studied by Laue microdiffraction. One-dimensional orientation maps of the Au crystal along the nanowire were generated from which the deformation profile was inferred. The crystal lattice was found to rotate continuously around the Au $[\bar{2}11]$ direction, which is transverse to the wire axis evidencing the storage of geometrically necessary dislocations (GNDs). The analysis of the diffraction peak shape points to the activation of multiple slip systems in contrast to the formation of wedge shaped twins predicted by MD simulations.

Magnetic properties of one-dimensional embedded nickel nanostructures in gold nanowires

2012 ◽  
Vol 12 (1) ◽  
pp. 65-68 ◽  
Author(s):  
S. Ishrat ◽  
K. Maaz ◽  
Rong Chen ◽  
Soo Hyun Kim ◽  
M.H. Jung ◽  
...  
Keyword(s):  
Magnetic Properties ◽  
Gold Nanowires ◽  
One Dimensional ◽  
Nickel Nanostructures

Flows in one-dimensional and two-dimensional carbon nanochannels: Fast and curious

MRS Bulletin ◽  
2017 ◽  
Vol 42 (04) ◽  
pp. 278-282 ◽  
Author(s):  
Mainak Majumder ◽  
Alessandro Siria ◽  
Lydéric Bocquet
Keyword(s):  
Two Dimensional ◽  
One Dimensional ◽  
Image Position

Abstract

Synthesis of Substrate-bound Seaweed-like Au Nanowires with Amino Silane Coupling Agents

2022 ◽  
Author(s):  
Jialong Yu ◽  
Weiyu Wang ◽  
Shumin Li ◽  
Beibei Yu ◽  
Hongyu Chen ◽  
...  
Keyword(s):  
Coupling Agent ◽  
Active Surface ◽  
Coupling Agents ◽  
Silane Coupling Agents ◽  
One Dimensional ◽  
Amino Silane ◽  
Silane Coupling ◽  
Dimensional Growth ◽  
Au Nanowires

Seaweed-like Au nanowires were synthesized without any nanoparticle seeds. The amino silcane coupling agent 3-aminopropyltriethoxysilane was used to form the active surface on Au substrate to facilitate one dimensional growth....

Asymptotics for Minimal Discrete Riesz Energy on Curves in ℝd

2004 ◽  
Vol 56 (3) ◽  
pp. 529-552 ◽  
Author(s):  
A. Martínez-Finkelshtein ◽  
V. Maymeskul ◽  
E. A. Rakhmanov ◽  
E. B. Saff
Keyword(s):  
Jordan Curve ◽  
Hausdorff Measure ◽  
Compact Sets ◽  
Minimizing Sequences ◽  
Point Sets ◽  
Dimensional Hausdorff Measure ◽  
One Dimensional ◽  
Riesz Kernel ◽  
Riesz Energy ◽  
Image Position

AbstractWe consider the s-energy for point sets 𝒵 = {𝒵k,n: k = 0, …, n} on certain compact sets Γ in ℝd having finite one-dimensional Hausdorff measure,is the Riesz kernel. Asymptotics for the minimum s-energy and the distribution of minimizing sequences of points is studied. In particular, we prove that, for s ≥ 1, the minimizing nodes for a rectifiable Jordan curve Γ distribute asymptotically uniformly with respect to arclength as n → ∞.

scholarly journals Fourier multipliers on spaces of distributions

1986 ◽  
Vol 29 (3) ◽  
pp. 309-327 ◽  
Author(s):  
W. Lamb
Keyword(s):  
Banach Spaces ◽  
Growth Conditions ◽  
Fourier Multipliers ◽  
Bounded Operators ◽  
Vertical Strip ◽  
One Dimensional ◽  
The One ◽  
Image Position ◽  
Complex Valued

In [8], Rooney defines a class of complex-valued functions ζ each of which is analytic in a vertical strip α(ζ)< Res < β(ζ) in the complex s-plane and satisfies certain growth conditions as |Im s| →∞ along fixed lines Re s = c lying within this strip. These conditions mean that the functionsfulfil the requirements of the one-dimensional Mihlin-Hörmander theorem (see [6, p. 417]) and so can be regarded as Fourier multipliers for the Banach spaces . Consequently, each function gives rise to a family of bounded operators W[ζ,σ] σ ∈(α(ζ),β(ζ)), on , 1<p<∞.

scholarly journals Molecular Dynamics Simulations of Deformation Behaviour of Gold Nanowires

2019 ◽  
Vol 2019 ◽  
pp. 1-5 ◽  
Author(s):  
S. K. Joshi ◽  
Kailash Pandey ◽  
Sanjeev K. Singh ◽  
Santosh Dubey
Keyword(s):  
Molecular Dynamics ◽  
Molecular Dynamics Simulations ◽  
Deformation Behaviour ◽  
Electronic Devices ◽  
Experimental Investigations ◽  
Computational Techniques ◽  
Gold Nanowires ◽  
Classical Molecular Dynamics ◽  
Au Nanowires ◽  
Dynamics Simulations

Metallic nanowires show great potential for applications in miniaturization of electronic devices due to their extraordinary mechanical strength and electrical properties. Experimental investigations of these properties are difficult due to their size and complications in performing experiments at such length scales. Computational techniques based on classical molecular dynamics simulations (using LAMMPS) provide an effective mean to understand the mechanical deformation behaviour of such nanowires with considerable accuracy and predictability. In the present investigation, we have discussed the deformation behaviour of Au nanowires due to tensile loading using classical molecular dynamics simulations (LAMMPS). The effect of strain rate and temperature on the yield strength of the nanowire has been studied in detail. The deformation mechanisms have also been discussed.

A limit theorem for certain disordered random systems

1994 ◽  
Vol 26 (04) ◽  
pp. 1022-1043 ◽  
Author(s):  
Xinhong Ding
Keyword(s):  
Differential Equation ◽  
Brownian Motion ◽  
Limit Theorem ◽  
Random Systems ◽  
Joint Probability ◽  
Dynamical Behaviour ◽  
One Dimensional ◽  
Linear Stochastic Differential Equation ◽  
The One ◽  
Image Position

Many disordered random systems in applications can be described by N randomly coupled Ito stochastic differential equations in : where is a sequence of independent copies of the one-dimensional Brownian motion W and ( is a sequence of independent copies of the ℝ p -valued random vector ξ. We show that under suitable conditions on the functions b, σ, K and Φ the dynamical behaviour of this system in the N → (limit can be described by the non-linear stochastic differential equation where P(t, dx dy) is the joint probability law of ξ and X(t).

A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals

2006 ◽  
Vol 136 (4) ◽  
pp. 701-708 ◽  
Author(s):  
Jonathan Bevan ◽  
Pablo Pedregal
Keyword(s):  
Lower Semicontinuous ◽  
Short Note ◽  
Necessary And Sufficient Condition ◽  
One Dimensional ◽  
Lower Semicontinuous Envelope ◽  
Variational Integrals ◽  
Non Local ◽  
Image Position ◽  
Necessary And Sufficient ◽  
Bounded Below

In this short note we prove that the functional I : W1,p(J;R) → R defined by is sequentially weakly lower semicontinuous in W1,p(J,R) if and only if the symmetric part W+ of W is separately convex. We assume that W is real valued, continuous and bounded below by a constant, and that J is an open subinterval of R. We also show that the lower semicontinuous envelope of I cannot in general be obtained by replacing W by its separately convex hull Wsc.

On the minimum of gaps generated by one-dimensional random packing

1980 ◽  
Vol 17 (01) ◽  
pp. 134-144 ◽  
Author(s):  
Yoshiaki Itoh
Keyword(s):  
Asymptotic Behaviour ◽  
Random Variable ◽  
Random Packing ◽  
One Dimensional ◽  
Image Position

Let L(t) be the random variable which represents the minimum of length of gaps generated by random packing of unit intervals into [0, t]. We have with Using this equation the asymptotic behaviour of P(L(x)≧h) is discussed.

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