scholarly journals A Simple Model for the Quantum Hydrodynamic Simulation of Electron Transport in Quantum Confined Structures in the Presence of Vortices

VLSI Design ◽  
2001 ◽  
Vol 13 (1-4) ◽  
pp. 237-244 ◽  
Author(s):  
J. R. Barker
Keyword(s):  
Numerical Simulation ◽  
Simple Model ◽  
Quantum Transport ◽  
Hydrodynamic Simulation ◽  
Spatially Correlated ◽  
Non Local ◽  
Quantum Hydrodynamic ◽  
String Representation ◽  
Ray Trajectories ◽  
Classical Particles

It is demonstrated that the ballistic quantum transport properties of an open quantum dot may be described by an ensemble of spatially correlated virtual classical particles moving within self-avoiding strings. The string paths correspond to ray trajectories. The strings exhibit the necessary properties of self-avoidance, interference and the non-local condition ∮mv · dr=nh. The formalism suggests that numerical simulation of quantum flows may be constructed ab initio by using the string representation.

The Uncertainty Principle Derived by The Finite Transmission Speed of Light and Information

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Uncertainty Relations ◽  
Speed Of Light ◽  
Energy Fluctuation ◽  
Hydrodynamic Analogy ◽  
Non Local ◽  
Minimum Uncertainty ◽  
Quantum Hydrodynamic ◽  
Transmission Speed

This work shows that in the frame of the stochastic generalization of the quantum hydrodynamic analogy (QHA) the uncertainty principle is fully compatible with the postulate of finite transmission speed of light and information. The theory shows that the measurement process performed in the large scale classical limit in presence of background noise, cannot have a duration smaller than the time need to the light to travel the distance up to which the quantum non-local interaction extend itself. The product of the minimum measuring time multiplied by the variance of energy fluctuation due to presence of stochastic noise shows to lead to the minimum uncertainty principle. The paper also shows that the uncertainty relations can be also derived if applied to the indetermination of position and momentum of a particle of mass m in a quantum fluctuating environment.

ON QUANTUM HYDRODYNAMIC MODELS FOR ELECTRONIC TRANSPORT IN NANOSCALE SEMICONDUCTOR DEVICES

2010 ◽  
Vol 24 (04n05) ◽  
pp. 401-409
Author(s):  
EUGENIA TULCAN-PAULESCU ◽  
DAN COMǍNESCU ◽  
MARIUS PAULESCU
Keyword(s):  
Numerical Simulation ◽  
Electronic Transport ◽  
Resonant Tunneling ◽  
Semiconductor Devices ◽  
Resonant Tunneling Diode ◽  
Hydrodynamic Models ◽  
Tunneling Diode ◽  
Quantum Hydrodynamic ◽  
Ballistic Diode

This article deals with quantum hydrodynamic models (QHD) for electronic transport in semiconductor devices. Numerical simulation of ballistic diode and resonant tunneling diode is discussed. Based on overall results, it can be concluded that the considered QHD models have remarkable abilities to express the refinements of electronic transport in nanodevices.

scholarly journals A simple model for growth of a planar hydrogenated carbon cluster under interstellar or circumstellar conditions

1997 ◽  
Vol 180 ◽  
pp. 268-268
Author(s):  
G. Pascoli
Keyword(s):  
Numerical Simulation ◽  
Simple Model ◽  
Amorphous Carbon ◽  
Carbon Cluster ◽  
Carbon Clusters ◽  
Hydrogen Atoms ◽  
Simulation Code ◽  
Carbon Chains ◽  
Physico Chemical ◽  
Open Question

The physico-chemical origin of the hydrogenated carbon clusters (cumulenes, PAHs, graphite or amorphous carbon) in space is still an open question. We have worked out a numerical simulation code in order to build up planar (graphite-like) carbon clusters. We assume that hydrogen atoms can fix on the carbon skeleton following a random process allowing for H2 formation. The structures we have found are very complex. In a given cluster, several molecular entities can simultaneously be present: (sp2) carbon chains, rings or compact formations (aromatic structures or small PAHs). We argue that these very contorted hydrogenated structures could be ubiquitous in the interstellar medium, in carbon-rich circumstellar regions and in PNe.

scholarly journals Quantum Hydrodynamic Simulation of Hysteresis in the Resonant Tunneling Diode

1995 ◽  
Vol 117 (2) ◽  
pp. 274-280 ◽  
Author(s):  
Zhangxin Chen ◽  
Bernardo Cockburn ◽  
Carl L. Gardner ◽  
Joseph W. Jerome
Keyword(s):  
Resonant Tunneling ◽  
Resonant Tunneling Diode ◽  
Hydrodynamic Simulation ◽  
Tunneling Diode ◽  
Quantum Hydrodynamic
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