scholarly journals Superfluid vacuum theory and deformed dispersion relations

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040032 ◽  
Author(s):  
Konstantin G. Zloshchastiev
Keyword(s):  
Dispersion Relation ◽  
Effective Mass ◽  
Relativistic Theory ◽  
Dispersion Relations ◽  
Physical Vacuum ◽  
Theory Of Relativity ◽  
Superfluid Vacuum ◽  
Complex Picture ◽  
Small Deformations ◽  
Vacuum Theory

Using the logarithmic superfluid model of physical vacuum, one can formulate an essentially quantum post-relativistic theory, which successfully recovers Einstein’s theory of relativity in low-momenta limit, but otherwise has different foundations and predictions. We present an analytical example of the dispersion relation and show that it should have a Landau form which ensures the suppression of dissipative fluctuations. We show that in the low-momentum sector of the theory, a dispersion relation becomes relativistic with small deformations, such that a photon acquires effective mass, but a much more complex picture arises at large momenta.

Dispersion relations of dust lattice waves in two-dimensional honeycomb configuration

2013 ◽  
Vol 79 (5) ◽  
pp. 629-633
Author(s):  
B. FAROKHI
Keyword(s):  
Dispersion Relation ◽  
Group Velocity ◽  
Hexagonal Lattice ◽  
Dispersion Relations ◽  
Two Dimensional ◽  
The Third ◽  
Lattice Waves ◽  
The Waves

AbstractThe linear dust lattice waves propagating in a two-dimensional honeycomb configuration is investigated. The interaction between particles is considered up to distance 2a, i.e. the third-neighbor interactions. Longitudinal and transverse (in-plane) dispersion relations are derived for waves in arbitrary directions. The study of dispersion relations with more neighbor interactions shows that in some cases the results change physically. Also, the dispersion relation in the different direction displays anisotropy of the group velocity in the lattice. The results are compared with dispersion relations of the waves in the hexagonal lattice.

Ion-cyclotron modes in weakly relativistic plasmas

1994 ◽  
Vol 51 (3) ◽  
pp. 371-379 ◽  
Author(s):  
Chandu Venugopal ◽  
P. J. Kurian ◽  
G. Renuka
Keyword(s):  
Dispersion Relation ◽  
High Frequency ◽  
Low Frequency ◽  
Dispersion Relations ◽  
The Other ◽  
Larmor Radius ◽  
Relativistic Plasmas ◽  
Ion Plasma ◽  
Maxwellian Plasma ◽  
Relativistic Dispersion

We derive a dispersion relation for the perpendicular propagation of ioncyclotron waves around the ion gyrofrequency ω+ in a weaklu relaticistic anisotropic Maxwellian plasma. These waves, with wavelength greater than the ion Larmor radius rL+ (k⊥ rL+ < 1), propagate in a plasma characterized by large ion plasma frequencies (). Using an ordering parameter ε, we separated out two dispersion relations, one of which is independent of the relativistic terms, while the other depends sensitively on them. The solutions of the former dispersion relation yield two modes: a low-frequency (LF) mode with a frequency ω < ω+ and a high-frequency (HF) mode with ω > ω+. The plasma is stable to the propagation of these modes. The latter dispersion relation yields a new LF mode in addition to the modes supported by the non-relativistic dispersion relation. The two LF modes can coalesce to make the plasma unstable. These results are also verified numerically using a standard root solver.

scholarly journals SPIN – A Schrödinger-Poisson Solver Including Nonparabolic Bands

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 489-493
Author(s):  
H. Kosina ◽  
C. Troger
Keyword(s):  
Dispersion Relation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Wave Functions ◽  
Two Dimensional ◽  
Electron Systems ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Poisson Solver ◽  
Two Dimensional Electron Systems

Nonparabolicity effects in two-dimensional electron systems are quantitatively analyzed. A formalism has been developed which allows to incorporate a nonparabolic bulk dispersion relation into the Schrödinger equation. As a consequence of nonparabolicity the wave functions depend on the in-plane momentum. Each subband is parametrized by its energy, effective mass and a subband nonparabolicity coefficient. The formalism is implemented in a one-dimensional Schrödinger-Poisson solver which is applicable both to silicon inversion layers and heterostructures.

A NEW EXTENSION OF GENERAL RELATIVISTIC THEORY

1994 ◽  
Vol 03 (02) ◽  
pp. 393-419 ◽  
Author(s):  
MASATOSHI YAZAKI
Keyword(s):  
General Relativity ◽  
General Theory ◽  
Relativistic Theory ◽  
Maxwell's Equations ◽  
Geometrical Structure ◽  
Finsler Geometry ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
General Relativistic ◽  
Einstein’S General Relativity

The possibility of a new extension of the general relativistc theory will be considered using Finsler geometry. The extension of Einstein’s general relativity can be expected to regard gravitational, electroweak, and strong interactive fields as geometrical structure of a spacetime based on Finsler geometry. Indeed, it will be shown that this theory can include the general theory of relativity under a certain special condition. In addition, Maxwell’s equations will be expressed using new metric representations of the electromagnetic vector and its tensor. Moreover, it will be suggested that this theory may include metric representations of weak and strong interactive fields.

Dispersion relation for electrostatic waves in plasmas with isotropic and anisotropic Kappa distributions for electrons and ions

2017 ◽  
Vol 83 (5) ◽  
Author(s):  
L. F. Ziebell ◽  
R. Gaelzer ◽  
F. J. R. Simões
Keyword(s):  
Dispersion Relation ◽  
Dispersion Relations ◽  
Distribution Functions ◽  
Sound Waves ◽  
Kappa Index ◽  
Langmuir Waves ◽  
Electrostatic Waves ◽  
Particle In Cell ◽  
Significant Difference ◽  
Velocity Distribution Functions

Velocity distribution functions which feature extended tails with power-law dependence have been consistently observed in the solar wind environment and are frequently modelled by the so-called Kappa distributions. Different forms of Kappa distributions are commonly employed in analytical studies, and despite their similarities, they can produce different effects on the dispersion properties that occur in a plasma. We consider two different and widely used forms of Kappa distributions, in both isotropic and anisotropic cases, and systematically discuss their effects on the dispersion relations of Langmuir and ion-sound waves. It is shown that in the case of Langmuir waves, one of the forms leads to the expression for the Bohm–Gross dispersion relation, valid for plasmas with Maxwellian velocity distributions, while the other form of Kappa functions leads to a dispersion relation with significant difference regarding the Maxwellian case, particularly in the case of small values of the kappa index. For ion-sound waves, the dispersion relations obtained with the different forms of Kappa distributions are different among themselves, and also different from the Maxwellian case, with difference which increases for small values of the kappa index. Some results obtained from numerical solution of the dispersion relations are presented, which illustrate the magnitude of the perceived differences. Some results obtained with relativistic particle-in-cell simulations are also presented, which allow the comparison between the dispersion relations obtained from analytical calculations and the frequency–wavelength distribution of wave fluctuations which are observed in numerical experiments.

scholarly journals FORM FACTORS IN B → f0(980) AND D → f0(980) TRANSITIONS FROM DISPERSION RELATIONS

2007 ◽  
Vol 22 (02n03) ◽  
pp. 641-644 ◽  
Author(s):  
B. El-BENNICH ◽  
O. M. A. LEITNER ◽  
B. LOISEAU ◽  
J. P. DEDONDER
Keyword(s):  
Dispersion Relation ◽  
Spectral Representation ◽  
Form Factors ◽  
Dispersion Relations ◽  
Transition Form ◽  
Spectral Densities ◽  
Triangle Diagram ◽  
Relation Approach

Within the dispersion relation approach we give the double spectral representation for space-like and time-like B → f0(980) and D → f0(980) transition form factors in the whole q2 range. The spectral densities, being the input of the dispersion relations, are obtained from a triangle diagram of relativistic constituent quarks.

Some Dynamical Aspects of a Test Theory of Special Relativity

1979 ◽  
Vol 34 (11) ◽  
pp. 1355-1358 ◽  
Author(s):  
Reza Mansouri
Keyword(s):  
Relativistic Theory ◽  
Free Parameter ◽  
Special Theory ◽  
Test Theory ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
First Order ◽  
Unique Definition ◽  
Definition Of ◽  
Inertial Systems

Kinematically viable space-time theories admitting a velocity-dependent dilatation factor in addition to the Lorentz transformation between the inertial systems are considered. It is shown that these theories are very unsatisfactory, in the sense of leading neither to a unique definition of time nor to a unique formulation of a dynamics. As an example, the relativistic theory of anisotropic spacetime proposed by Bogoslovsky is shown to differ discretely from the special theory of relativity. First-order rotor experiments restrict the free parameter r in this theory to values smaller than 10-10

scholarly journals SCALE INVARIANCE FROM MODIFIED DISPERSION RELATIONS

2010 ◽  
Vol 19 (12) ◽  
pp. 1905-1914 ◽  
Author(s):  
YAO LU ◽  
YUN-SONG PIAO
Keyword(s):  
Dispersion Relation ◽  
Critical Exponent ◽  
Power Law ◽  
Scale Invariance ◽  
Proper Time ◽  
Dispersion Relations ◽  
Cosmological Perturbations ◽  
Scale Invariant ◽  
Modified Dispersion Relation ◽  
Modified Dispersion Relations

In this paper, inspired by the investigations on the theory of cosmological perturbations in Hořava–Lifshitz cosmology, we calculate the spectrum of primordial perturbation lead by a modified dispersion relation in proper time ω pro ~ kz/ap in power-law expansion/contraction background a ~ tn · z is the critical exponent and p is not necessarily equal to z · p = z is well-motivated by Hořava–Lifshitz gravity, and the cases with p ≠ z are generalizations beyond the scope. We discuss that for fixed z, if the spectrum is required to be scale-invariant, how should p depend on n. We conclude that there is always room for parameters for the generation of scale-invariant spectrum.

An analytical method for the investigation of instability of a collisionless plasma in strong magnetic fields

1993 ◽  
Vol 50 (2) ◽  
pp. 185-189
Author(s):  
V. U. Zakharov
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Dispersion Relation ◽  
Stability Condition ◽  
Analytical Method ◽  
Small Amplitude ◽  
Collisionless Plasma ◽  
Dispersion Relations ◽  
Strong Magnetic Fields ◽  
Hydromagnetic Waves

An analytical method for the investigation of special types of dispersion relations is presented. In particular, analysis of the propagation of small- amplitude hydromagnetic waves in a collisionless plasma in a strong magnetic field leads to such dispersion relations. The fifth-degree dispersion relation corresponding to a particular case is considered. The necessary stability condition for a steady state and conditions for the degeneration of small- amplitude waves are derived. A comparison with other methods for the analysis of similar dispersion relations is also presented.

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