Stability diagrams for coupled Mathieu-equations

1985 ◽  
Vol 55 (6) ◽  
pp. 463-473 ◽  
Author(s):  
J. Hansen
Keyword(s):  
Stability Diagrams ◽  
Mathieu Equations

Phenomena and devices at the quantum scale and the mesoscale

2017 ◽  
Author(s):  
Sandip Tiwari
Keyword(s):  
Coulomb Blockade ◽  
Secure Communication ◽  
Quantum Hall ◽  
Nanoscale Device ◽  
Self Energy ◽  
Stability Diagrams ◽  
Charge Stability ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

Chemical stability diagrams as a powerful tool to the synthesis of Cu2SnS3 thin films by chemical bath deposition

2021 ◽  
Vol 265 ◽  
pp. 124478
Author(s):  
J.A. Vargas-Rueda ◽  
Alejandro R. Alonso ◽  
M. Meléndez-Zamudio ◽  
M. Meléndez-Lira
Keyword(s):  
Thin Films ◽  
Chemical Bath Deposition ◽  
Chemical Stability ◽  
Stability Diagrams

scholarly journals Thermodynamic Stabilities of U(VI) Minerals: Estimated and Observed Relationships

1996 ◽  
Vol 465 ◽  
Author(s):  
Robert J. Finch
Keyword(s):  
Gibbs Energy ◽  
Reaction Pathways ◽  
Free Energies ◽  
Fine Grained ◽  
Surface Energies ◽  
Stability Diagrams ◽  
Activity Diagrams ◽  
Mineral Stability ◽  
Mineral Compositions

ABSTRACTGibbs free energies of formation (ΔG°ƒ) for several structurally related U(VI) minerals are estimated by summing the Gibbs energy contributions from component oxides. The estimated ΔG°f values are used to construct activity-activity (stability) diagrams, and the predicted stability fields are compared with observed mineral occurrences and reaction pathways. With some exceptions, natural occurrences agree well with the mineral stability fields estimated for the systems Sio2-Cao-Uo3-UOH2O and Co2-caO-UO3-H2O providing confidence in the estimated thermodynamic values. Activity-activity diagrams are sensitive to small differences in ΔG°f values, and mineral compositions must be known accurately, including structurally bound H2O. The estimated ΔG°f values are not considered reliable for a few minerals for two major reasons: (1) the structures of the minerals in question are not closely similar to those used to estimate the ΔG°f* values of the component oxides, and/or (2) the minerals in question are exceptionally fine grained, leading to large surface energies that increase the effective mineral solubilities.

Numerical Integration Method for Stability Analysis of Milling With Variable Spindle Speeds

2015 ◽  
Vol 138 (1) ◽  
Author(s):  
Ye Ding ◽  
Jinbo Niu ◽  
LiMin Zhu ◽  
Han Ding
Keyword(s):  
Differential Equation ◽  
Stability Analysis ◽  
Numerical Integration ◽  
Integration Method ◽  
Transcendental Equation ◽  
Spindle Speed ◽  
Machining Parameters ◽  
Numerical Integration Method ◽  
Stability Diagrams ◽  
Time Period

A semi-analytical method is presented in this paper for stability analysis of milling with a variable spindle speed (VSS), periodically modulated around a nominal spindle speed. Taking the regenerative effect into account, the dynamics of the VSS milling is governed by a delay-differential equation (DDE) with time-periodic coefficients and a time-varying delay. By reformulating the original DDE in an integral-equation form, one time period is divided into a series of subintervals. With the aid of numerical integrations, the transition matrix over one time period is then obtained to determine the milling stability by using Floquet theory. On this basis, the stability lobes consisting of critical machining parameters can be calculated. Unlike the constant spindle speed (CSS) milling, the time delay for the VSS is determined by an integral transcendental equation which is accurately calculated with an ordinary differential equation (ODE) based method instead of the formerly adopted approximation expressions. The proposed numerical integration method is verified with high computational efficiency and accuracy by comparing with other methods via a two-degree-of-freedom milling example. With the proposed method, this paper details the influence of modulation parameters on stability diagrams for the VSS milling.

scholarly journals Stability diagrams of two optically mutual-injected quantum cascade lasers

AIP Advances ◽  
2021 ◽  
Vol 11 (1) ◽  
pp. 015320
Author(s):  
Y. Li ◽  
N. Yang ◽  
W. Chu ◽  
S. Duan ◽  
Y. Xie ◽  
...  
Keyword(s):  
Quantum Cascade Lasers ◽  
Quantum Cascade ◽  
Stability Diagrams ◽  
Cascade Lasers

scholarly journals Thermodynamic analysis of copper(I) sulfide chlorination by calcium chloride in the presence of oxygen

1999 ◽  
Vol 64 (5-6) ◽  
pp. 365-374 ◽  
Author(s):  
Rajko Vracar ◽  
Katarina Cerovic
Keyword(s):  
Calcium Chloride ◽  
Thermodynamic Analysis ◽  
Chemical Reactions ◽  
Phase Stability ◽  
Log P ◽  
Temperature Range ◽  
Stability Diagrams

This paper presents a thermodynamic analysis of possible, but insufficiently studied, chemical reactions occurring during the chlorination of copper(I) sulfide by calcium chloride in the presence of oxygen. It formed the basis for assessing the probability and priority of their occurrence. Phase stability diagrams have been plotted for the Cu-S-O-Cl system in the coordinates log p(S2)-log p(O2)-log p(Cl2) in the temperature range from 473 to 773 K.

scholarly journals Stability analysis of magnetic fluids in the presence of an oblique field and mass and heat transfer

2020 ◽  
Vol 330 ◽  
pp. 01035
Author(s):  
Rabah Djeghiour ◽  
Bachir Meziani
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Magnetic Fluids ◽  
Physical Parameters ◽  
Stability Diagrams ◽  
Stability And Instability ◽  
Mass And Heat Transfer ◽  
Model Equations ◽  
The Stability ◽  
Oblique Magnetic Field

In this paper, we investigate an analysis of the stability of a basic flow of streaming magnetic fluids in the presence of an oblique magnetic field is made. We have use the linear analysis of modified Kelvin-Helmholtz instability by the addition of the influence of mass transfer and heat across the interface. Problems equations model is presented where nonlinear terms are neglected in model equations as well as the boundary conditions. In the case of a oblique magnetic field, the dispersion relation is obtained and discussed both analytically and numerically and the stability diagrams are also obtained. It is found that the effect of the field depends strongly on the choice of some physical parameters of the system. Regions of stability and instability are identified. It is found that the mass and heat transfer parameter has a destabilizing influence regardless of the mechanism of the field.

Real-solution stability diagrams for copper-ammonia-chloride-water system

2011 ◽  
Vol 18 (1) ◽  
pp. 48-55 ◽  
Author(s):  
Xi Wang ◽  
Qi-yuan Chen ◽  
Zhou-lan Yin ◽  
Hui-ping Hu ◽  
Zhong-liang Xiao
Keyword(s):  
Water System ◽  
Solution Stability ◽  
Real Solution ◽  
Stability Diagrams ◽  
Chloride Water

scholarly journals Stability criteria for generalized Mathieu equations

1976 ◽  
Vol 34 (3) ◽  
pp. 301-304 ◽  
Author(s):  
E. Infeld
Keyword(s):  
Stability Criteria ◽  
Mathieu Equations
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