scholarly journals Low-dimensional chaos in the single wave model for self-consistent wave–particle Hamiltonian

2021 ◽  
Vol 31 (8) ◽  
pp. 083104
Author(s):  
J. V. Gomes ◽  
M. C. de Sousa ◽  
R. L. Viana ◽  
I. L. Caldas ◽  
Y. Elskens
Keyword(s):  
Wave Model ◽  
Single Wave ◽  
Self Consistent ◽  
Low Dimensional

scholarly journals Long-time discrete particle effects versus kinetic theory in the self-consistent single-wave model

2001 ◽  
Vol 64 (2) ◽  
Author(s):  
M-C. Firpo ◽  
F. Doveil ◽  
Y. Elskens ◽  
P. Bertrand ◽  
M. Poleni ◽  
...  
Keyword(s):  
Kinetic Theory ◽  
Wave Model ◽  
The Self ◽  
Single Wave ◽  
Discrete Particle ◽  
Self Consistent ◽  
Long Time

scholarly journals On the viability of the single-wave model for the beam plasma instability

2016 ◽  
Vol 115 (4) ◽  
pp. 45004 ◽  
Author(s):  
N. Carlevaro ◽  
G. Montani ◽  
D. Terzani
Keyword(s):  
Wave Model ◽  
Plasma Instability ◽  
Single Wave ◽  
Beam Plasma ◽  
Beam Plasma Instability

The onset of meandering in a barotropic jet

2001 ◽  
Vol 449 ◽  
pp. 85-114 ◽  
Author(s):  
N. J. BALMFORTH ◽  
C. PICCOLO
Keyword(s):  
Nonlinear Theory ◽  
Stability Boundary ◽  
Wave Model ◽  
Inviscid Limit ◽  
Reduced Model ◽  
Mean Flow ◽  
Single Wave ◽  
Weakly Nonlinear ◽  
Weakly Nonlinear Theory ◽  
The Stability

This study explores the dynamics of an unstable jet of two-dimensional, incompressible fluid on the beta-plane. In the inviscid limit, standard weakly nonlinear theory fails to give a low-order description of this problem, partly because the simple shape of the unstable normal mode is insufficient to capture the structure of the forming pattern. That pattern takes the form of ‘cat's eyes’ in the vorticity distribution which develop inside the modal critical layers (slender regions to either side of the jet's axis surrounding the levels where the modal wave speed matches the mean flow). Asymptotic expansions furnish a reduced model which is a version of what is known as the single-wave model in plasma physics. The reduced model predicts that the amplitude of the unstable mode saturates at a relatively low level and is not steady. Rather, the amplitude evolves aperiodically about the saturation level, a result with implications for Lagrangian transport theories. The aperiodic amplitude ‘bounces’ are intimately connected with sporadic deformations of the vortices within the cat's eyes. The theory is compared with numerical simulations of the original governing equations. Slightly asymmetrical jets are also studied. In this case the neutral modes along the stability boundary become singular; an extension of the weakly nonlinear theory is presented for these modes.

scholarly journals Chaotic mixing and transport in Rossby-wave critical layers

1997 ◽  
Vol 334 ◽  
pp. 315-351 ◽  
Author(s):  
KEITH NGAN ◽  
THEODORE G. SHEPHERD
Keyword(s):  
Rossby Wave ◽  
Phase Speed ◽  
Wave Model ◽  
Chaotic Advection ◽  
Transient Wave ◽  
Single Wave ◽  
Rossby Wave Breaking ◽  
Lobe Dynamics ◽  
Critical Layers ◽  
Mixing And Transport

A simple, dynamically consistent model of mixing and transport in Rossby-wave critical layers is obtained from the well-known Stewartson–Warn–Warn (SWW) solution of Rossby-wave critical-layer theory. The SWW solution is thought to be a useful conceptual model of Rossby-wave breaking in the stratosphere. Chaotic advection in the model is a consequence of the interaction between a stationary and a transient Rossby wave.Mixing and transport are characterized separately with a number of quantitative diagnostics (e.g. mean-square dispersion, lobe dynamics, and spectral moments), and with particular emphasis on the dynamics of the tracer field itself. The parameter dependences of the diagnostics are examined: transport tends to increase monotonically with increasing perturbation amplitude whereas mixing does not. The robustness of the results is investigated by stochastically perturbing the transient-wave phase speed. The two-wave chaotic advection model is contrasted with a stochastic single-wave model. It is shown that the effects of chaotic advection cannot be captured by stochasticity alone.

scholarly journals Energy Transport in a Rotation-Modulated Pulsar Wind

1996 ◽  
Vol 160 ◽  
pp. 421-424 ◽  
Author(s):  
A. Melatos ◽  
D. B. Melrose
Keyword(s):  
Energy Transport ◽  
Wave Model ◽  
Termination Shock ◽  
Displacement Current ◽  
Nonlinear Plasma ◽  
Poynting Flux ◽  
Self Consistent ◽  
Radiation Zone ◽  
Pulsar Wind ◽  
Nonlinear Plasma Wave

AbstractThe structure and energetics of a rotation-modulated pulsar wind are examined. It is shown that the displacement current in the wind asymptotically dominates the conduction current, creating an outer radiation zone whose inner boundary lies well inside the wind termination shock. A self-consistent nonlinear-plasma-wave model of the radiation zone predicts that the ratio of Poynting flux to kinetic-energy flux at the termination shock is small (~ 10−3for the Crab), in agreement with independent observational estimates.

MODELING HETEROSTRUCTURES WITH SCHRÖDINGER–POISSON–NAVIER ITERATIVE SCHEMES, EFFECT OF CARRIER CHARGE, AND INFLUENCE OF ELECTROMECHANICAL COUPLING

NANO ◽  
2012 ◽  
Vol 07 (04) ◽  
pp. 1250031 ◽  
Author(s):  
D. ROY MAHAPATRA ◽  
M. WILLATZEN ◽  
R. V. N. MELNIK ◽  
B. LASSEN
Keyword(s):  
Boundary Conditions ◽  
Electromechanical Coupling ◽  
Level Energy ◽  
Displacement Boundary ◽  
Coupling Case ◽  
Self Consistent ◽  
Type Semiconductor ◽  
Full Solution ◽  
Low Dimensional ◽  
Carrier Charge

This paper presents a detailed investigation of the effects of piezoelectricity, spontaneous polarization and charge density on the electronic states and the quasi-Fermi level energy in wurtzite-type semiconductor heterojunctions. This has required a full solution to the coupled Schrödinger–Poisson–Navier model, as a generalization of earlier work on the Schrödinger–Poisson problem. Finite-element-based simulations have been performed on a AlN/GaN quantum well by using both one-step calculation as well as the self-consistent iterative scheme. Results have been provided for field distributions corresponding to cases with zero-displacement boundary conditions and also stress-free boundary conditions. It has been further demonstrated by using four case study examples that a complete self-consistent coupling of electromechanical fields is essential to accurately capture the electromechanical fields and electronic wavefunctions. We have demonstrated that electronic energies can change up to approximately 0.5 eV when comparing partial and complete coupling of electromechanical fields. Similarly, wavefunctions are significantly altered when following a self-consistent procedure as opposed to the partial-coupling case usually considered in literature. Hence, a complete self-consistent procedure is necessary when addressing problems requiring more accurate results on optoelectronic properties of low-dimensional nanostructures compared to those obtainable with conventional methodologies.

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