scholarly journals Dancing Droplets on a Defect Line

2021 ◽  
Author(s):  
C Reyes
Keyword(s):  
Defect Line

DEFECT-LINE DYNAMICS IN OSCILLATORY SPIRAL WAVES

2006 ◽  
Vol 06 (04) ◽  
pp. L379-L386
Author(s):  
STEVEN WU
Keyword(s):  
Critical Point ◽  
Period Doubling ◽  
Spiral Wave ◽  
Chaotic Regime ◽  
Spiral Waves ◽  
Bifurcation Parameter ◽  
Local Dynamics ◽  
Total Length ◽  
Defect Line ◽  
Large Fluctuations

We study defect-line dynamics in a 2-D spiral-wave pair in the Rössler model for its underlying local dynamics in period-N and chaotic regimes with a single bifurcation parameter κ. We find that a spiral wave pair is always stable across the period-doubling cascade and in the chaotic regime. When N ≥ 2 defect lines appear spontaneously and a loop exchange occurs across the defect line. There exists a "critical point" κ c below and above which the time-averaged total length of defect lines L converges to almost constant but different values L1 and L2. When κ > κ c defect lines show large fluctuations due to creation and annihilation processes.

Particle-like behavior of defects near a defect line in 2D Ising model: Defect–antidefect pair production and interaction

2019 ◽  
Vol 33 (12) ◽  
pp. 1950117
Author(s):  
S. D. Mostovoy ◽  
O. V. Pavlovsky
Keyword(s):  
Ising Model ◽  
Yukawa Potential ◽  
Casimir Effect ◽  
Pair Creation ◽  
Phase Transition Point ◽  
Quantum Field ◽  
Position Change ◽  
Single Defect ◽  
Defect Line ◽  
Model Defect

The aim of this work is to investigate Casimir effect in a system comprising of a defect line along with isolated defects (vacancies) in 2D Ising model. We have found out that the interaction energy has a decaying exponent with distance between defects. We are interested in an analogy between Casimir behavior of this defect structure and quantum field theory. The simplest deformation of a defect line (a defect’s position change) can be treated as defect–“antidefect” pair creation. Single defect is attracted to a defect line. By means of Monte Carlo simulation, the energy of pair creation and Casimir interaction potential are calculated. The interaction turned out that a Yukawa potential turns to the Coulomb’s one at phase transition point.

ESR and LESR Studies in CVD Diamond

1996 ◽  
Vol 423 ◽  
Author(s):  
C. F. O. Graeff ◽  
E. Rohrer ◽  
C. E. Nebel ◽  
M. Stutzmann ◽  
H. GUttler ◽  
...  
Keyword(s):  
Nitrogen Content ◽  
Room Temperature ◽  
Defect Density ◽  
Uv Light ◽  
Cvd Diamond ◽  
Central Line ◽  
Dark Conductivity ◽  
Defect Line ◽  
Spin Resonance ◽  
Related Defect

AbstractCVD diamond films with nitrogen content varying from 10 ppm to 132 ppm have been studied by electron spin resonance (ESR), light-induced ESR (LESR) as well as spin-dependent conductivity (SDC). Two characteristic signals have been observed. A carbon-related defect line with g = 2.0029 ± 0.0002 and width 4 ± 1 G, is observed in ESR, LESR and SDC. The intensity of this line measured by ESR increases linearly with nitrogen content. For low-defect-density samples, or after illuminating the high-defect-density samples with UV light, a second signal is observed both in ESR and LESR, but not in SDC, with a central line at g = 2.0024 ± 0.001 and width 0.2 ± 0.1 G and related hyperfine satellites ≈30 G away from the central line. This line is assigned to isolated substitutional nitrogen, the so-called P1 center. The density of N-related paramagnetic states is strongly affected by illumination and heat treatments. Spin-dependent conductivity measurements show that the dark conductivity at room temperature in CVD-diamond is dominated by hopping at the g = 2.0029 defects.

scholarly journals 2D ISING MODEL WITH A DEFECT LINE

1994 ◽  
Vol 09 (23) ◽  
pp. 2107-2112 ◽  
Author(s):  
D. CABRA ◽  
C. NAÓN
Keyword(s):  
Ising Model ◽  
Correlation Functions ◽  
Two Dimensional ◽  
Energy Correlation ◽  
Theoretical Methods ◽  
Defect Line ◽  
Spin Correlator

We study the two-dimensional Ising model with a defect line and evaluate multipoint energy correlation functions using nonperturbative field-theoretical methods. We also discuss the evaluation of the two-spin correlator on the defect line.

Complex-Periodic Spiral Waves Induced by Linearly Polarized Electric Field in the Excitable Medium

2019 ◽  
Vol 29 (05) ◽  
pp. 1950071
Author(s):  
Jinming Luo ◽  
Xingyong Zhang ◽  
Jun Tang
Keyword(s):  
Electric Field ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Excitable Medium ◽  
Local Dynamics ◽  
Local Oscillation ◽  
Period 2 ◽  
Defect Line ◽  
Linearly Polarized ◽  
Slow Modulation

Complex-periodic spiral waves are investigated extensively in the oscillatory medium. In this paper, the linearly polarized electric field (LPEF) is employed to induce complex-periodic spiral waves in the excitable medium with abnormal dispersion. As the amplitude of LPEF is increased beyond a threshold, the simple-periodic spiral wave converts into an irregularly complex-periodic one, in which, the local dynamics exhibit several regular spikes followed by one missed spiking period. Furthermore, with the increase of the LPEF amplitude, the missed spiking period follows different numbers of regular spikes [so-called period-1 (P-1), period-2 (P-2), etc.], even a mix of different periods. Meanwhile, the wavelength of the spiral wave transits from a short to a longer one. The pure-periodic (from P-6 to P-2) spirals generally contain defect lines, across which the phase of local oscillation changes by [Formula: see text]. In contrast, there is no defect line in the mixed-periodic spiral waves. This finding indicates that the defect line is not a necessary feature for complex-periodic spiral waves. Moreover, three types of tip trajectories of pure-periodic spiral waves are identified depending on the periods. That is, the outward-petal meandering, the outward-petal meandering with slow modulation, and drifting tip motion, and the tip trajectories could be used to distinguish them from the complex-oscillatory spiral waves.

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