scholarly journals Self-consistent generation of tectonic plates in time-dependent, three-dimensional mantle convection simulations 2. Strain weakening and asthenosphere

2000 ◽  
Vol 1 (8) ◽  
pp. n/a-n/a ◽  
Author(s):  
Paul J. Tackley
Keyword(s):  
Mantle Convection ◽  
Three Dimensional ◽  
Time Dependent ◽  
Tectonic Plates ◽  
Self Consistent

scholarly journals Josephson oscillations in split one-dimensional Bose gases

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Yuri Daniel van Nieuwkerk ◽  
Jörg Schmiedmayer ◽  
Fabian Essler
Keyword(s):  
Three Dimensional ◽  
Time Dependent ◽  
Dimensional Theory ◽  
Bose Gases ◽  
Microscopic Description ◽  
One Dimensional ◽  
Hartree Fock ◽  
Equilibrium Dynamics ◽  
Self Consistent ◽  
Double Well Potential

We consider the non-equilibrium dynamics of a weakly interacting Bose gas tightly confined to a highly elongated double well potential. We use a self-consistent time-dependent Hartree--Fock approximation in combination with a projection of the full three-dimensional theory to several coupled one-dimensional channels. This allows us to model the time-dependent splitting and phase imprinting of a gas initially confined to a single quasi one-dimensional potential well and obtain a microscopic description of the ensuing damped Josephson oscillations.

RESPONSE FUNCTIONS IN THE CONTINUUM OF DEFORMED NUCLEI STUDIED WITH THE TIME-DEPENDENT DENSITY-FUNCTIONAL CALCULATIONS

2009 ◽  
Vol 18 (10) ◽  
pp. 2088-2092
Author(s):  
TSUNENORI INAKURA ◽  
TAKASHI NAKATSUKASA ◽  
KAZUHIRO YABANA
Keyword(s):  
Density Functional ◽  
Three Dimensional ◽  
High Energy ◽  
Finite Amplitude ◽  
Time Dependent ◽  
Response Functions ◽  
Giant Resonances ◽  
Self Consistent ◽  
Dipole Response ◽  
Dependent Density

Electric dipole response functions of even-even nuclei are calculated with the time-dependent density-functional theory in perturbative regime. For an easy implementation of the fully self-consistent calculation, the finite amplitude method which we have proposed recently is employed. This is the first fully self-consistent RPA calculation in the three-dimensional mesh representation, including high-energy regions of giant resonances.

scholarly journals Tectonic plates in 3D mantle convection model with stress- history-dependent rheology

2020 ◽  
Author(s):  
Takehiro Miyagoshi ◽  
Masanori Kameyama ◽  
Masaki Ogawa
Keyword(s):  
Mantle Convection ◽  
Plate Tectonics ◽  
Three Dimensional ◽  
Vertical Component ◽  
Plate Motion ◽  
Stress History ◽  
Tectonic Plates ◽  
Convection Model ◽  
Narrow Plate ◽  
Narrow Bands

Abstract Plate tectonics is a key feature of the dynamics of the Earth’s mantle. By taking into account the stress-history-dependent rheology of mantle materials, we succeeded in realistically producing tectonic plates in our numerical model of mantle convection in a three-dimensional rectangular box. The calculated lithosphere is separated into several pieces (tectonic plates) that rigidly move. Deformation of the lithosphere caused by the relative motion of adjacent plates is concentrated in narrow bands (plate margins) where the viscosity is substantially reduced. The plate margins develop when the stress exceeds a threshold and the lithosphere is ruptured. Once formed, the plate margins persist, even after the stress is reduced below the threshold, allowing the plates to stably move over geologic time. The vertical component of vorticity takes a large value in the narrow plate margins. Secondary convection occurs beneath old tectonic plates as two-dimensional rolls with their axes aligned to the direction of plate motion. The surface heat flow decreases with increasing distance from divergent plate margins (ridges) in their vicinity in the way the cooling half-space model predicts, but it tends towards a constant value away from ridges as observed for the Earth because of the heat transport by the secondary convection.

scholarly journals Tectonic plates in 3D mantle convection model with stress- history-dependent rheology

2020 ◽  
Author(s):  
Takehiro Miyagoshi ◽  
Masanori Kameyama ◽  
Masaki Ogawa
Keyword(s):  
Mantle Convection ◽  
Plate Tectonics ◽  
Three Dimensional ◽  
Vertical Component ◽  
Plate Motion ◽  
Stress History ◽  
Tectonic Plates ◽  
Convection Model ◽  
Narrow Plate ◽  
Narrow Bands

Abstract Plate tectonics is a key feature of the dynamics of the Earth’s mantle. By taking into account the stress-history-dependent rheology of mantle materials, we succeeded in realistically producing tectonic plates in our numerical model of mantle convection in a three-dimensional rectangular box. The calculated lithosphere is separated into several pieces (tectonic plates) that rigidly move. Deformation of the lithosphere caused by the relative motion of adjacent plates is concentrated in narrow bands (plate margins) where the viscosity is substantially reduced. The plate margins develop when the stress exceeds a threshold and the lithosphere is ruptured. Once formed, the plate margins persist, even after the stress is reduced below the threshold, allowing the plates to stably move over geologic time. The vertical component of vorticity takes a large value in the narrow plate margins. Secondary convection occurs beneath old tectonic plates as two-dimensional rolls with their axes aligned to the direction of plate motion. The surface heat flow decreases with increasing distance from divergent plate margins (ridges) in their vicinity in the way the cooling half-space model predicts, but it tends towards a constant value away from ridges as observed for the Earth because of the heat transport by the secondary convection.

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