scholarly journals Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Lennart Dabelow ◽  
Patrick Vorndamme ◽  
Peter Reimann
Keyword(s):  
Matrix Structure ◽  
Many Body ◽  
Banded Matrix

Be´nard-Marangoni Instability in an Open Vertical Cylinder With Lateral Heating

2005 ◽  
Author(s):  
B. Xu ◽  
X. Ai ◽  
B. Q. Li
Keyword(s):  
Convective Flow ◽  
Marangoni Number ◽  
Vertical Cylinder ◽  
Base Flow ◽  
Matrix Structure ◽  
Governing Equations ◽  
Thermocapillary Effect ◽  
Lateral Heating ◽  
Banded Matrix ◽  
Critical Marangoni Number

A linear stability analysis of Rayleigh-Be´nard-Marangoni flow of low Prandtl number fluid contained in an open vertical cylinder is presented. The cylinder is heated laterally and is cooled at top surface by radiation. Governing equations of the flow are solved for axisymmetric base flow using higher order finite difference scheme. Small perturbation was applied to the obtained base flow to determine the critical Marangoni number and Grashof number at which the axisymmetry is broken. The eigenvalue matrix equation is solved using linear fractional transformation with banded matrix structure taken into account. It is found that the thermocapillary effect stabilizes the convective flow driven by buoyancy.

Thermocapillary Instabilities of Low Prandtl Number Fluid in a Laterally Heated Vertical Cylinder

2006 ◽  
Vol 128 (6) ◽  
pp. 1228-1235 ◽  
Author(s):  
B. Xu ◽  
X. Ai ◽  
B. Q. Li
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Three Dimensional ◽  
Vertical Cylinder ◽  
Reynolds Numbers ◽  
Base Flow ◽  
Matrix Structure ◽  
Various Boundary Conditions ◽  
Banded Matrix ◽  
High Order Finite Difference

Stabilities of surface-tension-driven convection in an open cylinder are investigated numerically. The cylinder is heated laterally through its sidewall and is cooled at free surface by radiation. A seeding crystal at constant temperature is in contact with the free surface. Axisymmetric base flow is solved using the high-order finite difference method. Three-dimensional perturbation is applied to the obtained base flow to determine the critical Marangoni numbers at which the axisymmetry is broken. The eigenvalue matrix equation is solved using linear fractional transformation with banded matrix structure taken into account. Critical Marangoni-Reynolds numbers are obtained at various boundary conditions.

Formation of Persistent Slip Band in Fatigued Copper Single Crystals

1982 ◽  
Vol 40 ◽  
pp. 470-471
Author(s):  
N. Y. Jin
Keyword(s):  
Volume Fraction ◽  
Fatigue Cracks ◽  
Wall Structure ◽  
Matrix Structure ◽  
Dislocation Dipole ◽  
Slip Bands ◽  
Persistent Slip Bands ◽  
The Matrix ◽  
Hard Shell ◽  
Copper Single Crystals

Localised plastic deformation in Persistent Slip Bands(PSBs) is a characteristic feature of fatigue in many materials. The dislocation structure in the PSBs contains regularly spaced dislocation dipole walls occupying a volume fraction of around 10%. The remainder of the specimen, the inactive "matrix", contains dislocation veins at a volume fraction of 50% or more. Walls and veins are both separated by regions in which the dislocation density is lower by some orders of magnitude. Since the PSBs offer favorable sites for the initiation of fatigue cracks, the formation of the PSB wall structure is of great interest. Winter has proposed that PSBs form as the result of a transformation of the matrix structure to a regular wall structure, and that the instability occurs among the broad dipoles near the center of a vein rather than in the hard shell surounding the vein as argued by Kulmann-Wilsdorf.

Novel simulation model for many-body multipole dispersion interactions

1998 ◽  
Vol 94 (3) ◽  
pp. 417-433 ◽  
Author(s):  
MARTIN VAN DER HOEF ◽  
PAUL MADDEN
Keyword(s):  
Simulation Model ◽  
Dispersion Interactions ◽  
Many Body

On the many-body theory of nuclear reactions

1968 ◽  
Vol 111 (1) ◽  
pp. 392-416 ◽  
Author(s):  
K DIETRICH ◽  
K HARA
Keyword(s):  
Nuclear Reactions ◽  
Many Body ◽  
Many Body Theory ◽  
The Many ◽  
Body Theory

MANY-BODY THEORY FOR HYPERFINE EFFECTS IN ATOMS AND MOLECULES

1970 ◽  
Vol 31 (C4) ◽  
pp. C4-99-C4-104
Author(s):  
T. P. DAS ◽  
C. M. DUTTA ◽  
N. C. DUTTA
Keyword(s):  
Many Body ◽  
Atoms And Molecules ◽  
Many Body Theory ◽  
Body Theory

ELECTROWETTING-INDUCED DROPLET JUMPING SIMULATION USING MANY-BODY DISSIPATIVE PARTICLE DYNAMICS

2019 ◽  
Author(s):  
Ting Liu ◽  
Anupam Mishra ◽  
Mohsen Torabi ◽  
Ahmed A. Hemeda ◽  
James Palko ◽  
...  
Keyword(s):  
Dissipative Particle Dynamics ◽  
Particle Dynamics ◽  
Many Body
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