scholarly journals Spin-charge separation at small length scales in the two-dimensionalt-Jmodel

1994 ◽  
Vol 50 (16) ◽  
pp. 11313-11317 ◽  
Author(s):  
Claudius Gros ◽  
Roser Valentí
Keyword(s):  
Charge Separation ◽  
Small Length ◽  
Length Scales

scholarly journals Spin-charge separation at small length scales in the 2D t-J Model

1995 ◽  
Vol 99 (3-4) ◽  
pp. 509-511
Author(s):  
Roser Valent� ◽  
Claudius Gros
Keyword(s):  
Charge Separation ◽  
Small Length ◽  
Length Scales

scholarly journals Transmission x-ray microscopy at low temperatures: Irregular supercurrent flow at small length scales

2018 ◽  
Vol 97 (13) ◽  
Author(s):  
J. Simmendinger ◽  
S. Ruoss ◽  
C. Stahl ◽  
M. Weigand ◽  
J. Gräfe ◽  
...  
Keyword(s):  
Low Temperatures ◽  
Small Length ◽  
Length Scales ◽  
X Ray

Vibration Characteristics of Multiwalled Carbon Nanotubes Embedded in Elastic Media by a Nonlocal Elastic Shell Model

2007 ◽  
Vol 74 (6) ◽  
pp. 1087-1094 ◽  
Author(s):  
Renfu Li ◽  
George A. Kardomateas
Keyword(s):  
Carbon Nanotubes ◽  
Shell Model ◽  
Multiwalled Carbon Nanotubes ◽  
Van Der Waals ◽  
Van Der Waals Forces ◽  
Elastic Media ◽  
Small Length ◽  
Multiwalled Carbon ◽  
Resonant Frequencies ◽  
Length Scales

In this paper, the vibrational behavior of the multiwalled carbon nanotubes (MWCNTs) embedded in elastic media is investigated by a nonlocal shell model. The nonlocal shell model is formulated by considering the small length scales effects, the interaction of van der Waals forces between two adjacent tubes and the reaction from the surrounding media, and a set of governing equations of motion for the MWCNTs are accordingly derived. In contrast to the beam models in the literature, which would only predict the resonant frequencies of bending vibrational modes by taking the MWCNT as a whole beam, the current shell model can find the resonant frequencies of three modes being classified as radial, axial, and circumferential for each nanotube of a MWCNT. Big influences from the small length scales and the van der Waals’ forces are observed. Among these, noteworthy is the reduction in the radial frequencies due to the van der Waals’ force interaction between two adjacent nanotubes. The numerical results also show that when the spring constant k0 of the surrounding elastic medium reaches a certain value, the lowest resonant frequency of the double walled carbon nanotube drops dramatically.

Flow Dynamics Characteristics in Micro and Nano Length Scale Devices With the Lattice-Boltzmann Method: The Air Bearing Problem

2008 ◽  
Author(s):  
Alvaro J. Ramirez ◽  
Amador M. Guzman ◽  
Rodrigo A. Escobar
Keyword(s):  
Poiseuille Flow ◽  
Lattice Boltzmann ◽  
Numerical Results ◽  
Flow Dynamics ◽  
Length Scale ◽  
Air Bearing ◽  
Small Length ◽  
Length Scales ◽  
Boltzmann Method ◽  
Acceptable Agreement

The Lattice-Boltzmann Method (LBM) has been used for investigating flow behavior and characteristics in mini, micro and nano channels with the objective of describing the transition among different length scales. In particular, we have used the LBM to describe the air bearing lubrication problem at very small scales. For doing this, first we simulate and characterize the Poiseuille flow through different length scale and compare the LBM numerical results to existing experimental and numerical results. We put special attention on the application of the slip boundary condition on the channel wall for very small length scales. Our numerical results for the Poiseuille flow show an acceptable agreement with the Fukui & Kaneko numerical solution for continuous and slip-velocity regimes. For both, the rarified flow regime and the free molecular flow regime our solutions do not show an acceptable agreement with the Fukui & Kaneko Model. Then, we focus on the Couette flow characterization at very small length scales. The pressure distribution on both walls for different Knudsen numbers is obtained and compared to existing numerical results. Last, we concentrate in the air bearing problem. We have looked at the best simulation parameters for successfully describing this device flow dynamics, and particularly, for determining the pressure distribution and the net force with a good accuracy.

scholarly journals Control at Small Length Scales: Issue 1

2005 ◽  
Vol 15 (15) ◽  
pp. 645-646
Author(s):  
Martha A. Gallivan ◽  
Mustafa Khammash
Keyword(s):  
Small Length ◽  
Length Scales
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