scholarly journals Wobbling double sine-Gordon kinks

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
João G. F. Campos ◽  
Azadeh Mohammadi
Keyword(s):  
Energy Density ◽  
Vibrational Mode ◽  
Limited Range ◽  
Analytical Approximation ◽  
Maximum Energy ◽  
Translational Energy ◽  
Sine Gordon Model ◽  
The One

Abstract We study the collision of a kink and an antikink in the double sine-Gordon model with and without the excited vibrational mode. In the latter case, we find that there is a limited range of the parameters where the resonance windows exist, despite the existence of a vibrational mode. Still, when the vibrational mode is initially excited, its energy can turn into translational energy after the collision. This creates one-bounce as well as a rich structure of higher-bounce resonance windows that depend on the wobbling phase being in or out of phase at the collision and the wobbling amplitude being sufficiently large. When the vibrational mode is excited, the modified structure of one-bounce windows is observed in the whole range of the model’s parameters, and the resonant interval with higher-bounce windows gradually increases with the wobbling amplitude. We estimated the center of the one-bounce windows using a simple analytical approximation for the wobbling evolution. The kinks’ final wobbling frequency is Lorentz contracted, which is simply derived from our equations. We also report that the maximum energy density value always has a smooth behavior in the resonance windows.

High field tunneling as a limiting factor of maximum energy density in dielectric energy storage capacitors

2008 ◽  
Vol 92 (14) ◽  
pp. 142909 ◽  
Author(s):  
Qin Chen ◽  
Yong Wang ◽  
Xin Zhou ◽  
Q. M. Zhang ◽  
Shihai Zhang
Keyword(s):  
Energy Storage ◽  
Energy Density ◽  
High Field ◽  
Maximum Energy ◽  
Limiting Factor

scholarly journals Dielectric elastomer generator with diaphragm configuration

2018 ◽  
Vol 192 ◽  
pp. 01032
Author(s):  
Zhen-Qiang Song ◽  
Sriyuttakrai Sathin ◽  
Wei Li ◽  
Kazuhiro Ohyama ◽  
ShiJie Zhu
Keyword(s):  
Energy Density ◽  
Energy Conversion ◽  
Conversion Efficiency ◽  
Energy Conversion Efficiency ◽  
Dielectric Elastomer ◽  
Maximum Energy ◽  
Constant Voltage ◽  
Low Viscosity ◽  
65 J ◽  
Low Efficiency

The dielectric elastomer generator (VHB 4905, 3M) with diaphragm configuration was investigated with the constant-voltage harvesting scheme in order to investigate its energy harvesting ability. The maximum energy density and energy conversion efficiency is measured to be 65 J/kg and 5.7%, respectively. The relatively low efficiency indicates that higher energy conversion efficiency is impeded by the viscosity of the acrylic elastomer, suggesting that higher conversion efficiency with new low-viscosity elastomer should be available.

The high energy density and efficiency of PVDF-based composites with double-shell Nd-BaTiO3 particles as fillers

2020 ◽  
Vol 13 (06) ◽  
pp. 2051042
Author(s):  
Zhong Yang ◽  
Jing Wang ◽  
Long He ◽  
Chaoyong Deng ◽  
Kongjun Zhu
Keyword(s):  
Energy Storage ◽  
Energy Density ◽  
Vinylidene Fluoride ◽  
Composite Films ◽  
High Energy ◽  
Maximum Energy ◽  
Dielectric Constants ◽  
High Energy Density ◽  
Element Simulation ◽  
Poly Vinylidene Fluoride

Flexible dielectric capacitors are becoming shining stars in modern electronic devices. Ceramic particles with large dielectric constants and benign compatibility are attractive candidates to enhance the energy storage density of pristine polymer capacitors while guaranteeing their flexibility. In this work, double-shell structure of Al2O3 (AO) and dopamine (PDA) were successively coated on the Nd-doped BaTiO3 (NBT) particles and then introduced into the Poly(vinylidene fluoride) (PVDF) matrix. Obvious enhancement in dielectric constants was observed while the dielectric loss remained nearly constant. For the composite films with 1–4[Formula: see text]vol.% NBT@AO@PDA NPs, the maximum energy density of 9.1[Formula: see text]J/cm3 and energy efficiency of 65% was achieved at 430[Formula: see text]MV/m in the sample with 1[Formula: see text]vol.% filling ratio, which are 1.4 and 1.3 times larger than those of pristine PVDF at 450[Formula: see text]MV/m. The finite element simulation reveals the effective relief of the electric field concentration in the composite film induced by the AO and PDA layers. The greater improvement in the energy storage performance could be anticipated if the dispersity of NBT@AO@PDA NPs was further improved.

scholarly journals The Energy-Density Functional of an Electron Gas in Locally Linear Approximation of the One-Body Potential

1972 ◽  
Vol 27 (8-9) ◽  
pp. 1176-1186 ◽  
Author(s):  
R. Baltin
Keyword(s):  
Energy Density ◽  
Density Matrix ◽  
Density Functional ◽  
Particle Density ◽  
Parametric Representation ◽  
Kinetic Energy Density ◽  
Linear Potential ◽  
Energy Density Functional ◽  
The One ◽  
Body Potential

Abstract For a system of independent electrons moving in a common one-body potential V (r) an integral representation of Dirac's density matrix is evaluated in the approximation that V(r) at the point r is replaced by a linear potential with a gradient equal to the gradient of V at r. The particle density ᵨ, ∇ᵨ and the kinetic-energy density εk are derived from the density matrix. After eliminating the potential and its gradient a parametric representation for εk in terms of ᵨ and y = |∇ᵨ |½ ᵨ-⅔ is obtained. Explicit analytical expressions are given in the limits y → 0 and y → ∞ and compared with the inhomogeneity corrections of Kirzhnits and v. Weizsäcker.

scholarly journals Statistical Analysis and the OPEA Model of the White-Light Flares Occurring on Krüger 60B (DO Cep)

2011 ◽  
Vol 28 (4) ◽  
pp. 365-377 ◽  
Author(s):  
Hasan Ali Dal
Keyword(s):  
Rise Time ◽  
Half Life ◽  
Total Duration ◽  
Critical Value ◽  
Maximum Energy ◽  
Data Set ◽  
Slow Flare ◽  
Flare Stars ◽  
The One ◽  
Flare Frequency

AbstractIn this study, new observations and some results of statistical analyses are presented. The largest flare data set of DO Cep in the literature has been obtained with 89 flares detected in 67.61 hours of U-band flare patrol. First of all, the observations demonstrated that the star is one of the most active flare stars in respect to the computed flare frequency. Secondly, using the independent samples t-test, the detected flares were classified into two subtypes, and then they were modelled. Analysing the models demonstrated that the fast and slow flares occurring on the star can be separated with a critical value of the ratio of their decay time to rise time. The critical value was computed as 3.40. According to this value, the fast flare rate is 20.22%, while the slow flare rate is 79.78%. Besides, there is a 39.282 times difference between the energies of these two types of flares. However, the flare equivalent durations versus the flare rise times increase in similar ways for both groups. In addition, all the flares were modelled with the one-phase exponential association function. Analysing this model, the plateau value was found to be 2.810. Moreover, the half-life value was computed as 433.1 s from the model. The maximum flare rise time was found to be 1164 s, while the maximum flare total duration was found to be 3472 s. The results of the flare timescales indicate that the geometry of the flaring loop on the surface of the star might be similar to those seen on analogues of DO Cep. Consequently, considering both the half-life value and flare timescales, the flares detected on the surface of DO Cep get maximum energy in longer times, while the geometries of the flaring loops or areas get smaller.

scholarly journals Ru/Al Multilayers Integrate Maximum Energy Density and Ductility for Reactive Materials

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
K. Woll ◽  
A. Bergamaschi ◽  
K. Avchachov ◽  
F. Djurabekova ◽  
S. Gier ◽  
...  
Keyword(s):  
Energy Density ◽  
Maximum Energy ◽  
Reactive Materials

SAVVIDY VACUUM IN SU(2) YANG–MILLS THEORY

2005 ◽  
Vol 20 (22) ◽  
pp. 1655-1662 ◽  
Author(s):  
DANIEL KAY ◽  
A. KUMAR ◽  
R. PARTHASARATHY
Keyword(s):  
Energy Density ◽  
Imaginary Part ◽  
Functional Integral ◽  
Quadratic Approximation ◽  
Effective Energy ◽  
The Real ◽  
Yang Mills ◽  
The One

The one-loop effective energy density of a pure SU (2) Yang–Mills theory in the Savvidy background is reconsidered. The stable and the unstable modes are identified. The stable modes are treated in the quadratic approximation. For the unstable modes, the full expansion including the cubic and the quartic terms in the fluctuations is used. The functional integral for the unstable modes is evaluated and added to the result for the stable modes. The resulting energy density coincides with the real part in the quadratic approximation of earlier studies and there is now no imaginary part.

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