Time-dependent equations for phase differences and a collective mode in Josephson-coupled layered superconductors

The Lawrence–Doniach model for superconducting layered compounds in which the Ginzburg–Landau order parameters in adjacent layers are coupled by Josephson tunneling is considered. The main purpose of this paper is to demonstrate that the time-dependent Ginzburg–Landau model is the limit of the Lawrence–Doniach model as the layer spacing goes to zero.

Download Full-text

Fluctuation sound absorption in quark matter

Modern Physics Letters A ◽

10.1142/s0217732316501790 ◽

2016 ◽

Vol 31 (32) ◽

pp. 1650179 ◽

Cited By ~ 3

Author(s):

B. O. Kerbikov ◽

M. S. Lukashov

Keyword(s):

Phase Transition ◽

Relaxation Time ◽

Sound Wave ◽

Quark Matter ◽

Sound Absorption ◽

Collective Mode ◽

Time Dependent ◽

Transition Line ◽

Ginzburg Landau ◽

Phase Transition Line

We investigate the sound absorption in quark matter due to the interaction of the sound wave with the precritical fluctuations of the diquark-pair field above [Formula: see text]. The soft collective mode of the pair field is derived using the time-dependent Ginzburg–Landau functional with random Langevin forces. The strong absorption near the phase transition line may be viewed as a manifestation of Mandelshtam–Leontovich slow relaxation time theory.

Download Full-text

Analytical Solution of the Hyperbolic Heat Conduction Equation for a Moving Finite Medium Under the Effect of Time Dependent Laser Heat Source

Journal of Heat Transfer ◽

10.1115/1.4007139 ◽

2012 ◽

Vol 134 (12) ◽

Cited By ~ 5

Author(s):

R. T. Al-khairy

Keyword(s):

Heat Conduction ◽

Analytical Solution ◽

Heat Source ◽

Heat Conduction Equation ◽

Time Dependent ◽

Hyperbolic Heat Conduction ◽

Laser Heat Source ◽

Reference Curves ◽

Finite Medium ◽

Phase Differences

This paper presents an analytical solution of the hyperbolic heat conduction equation for a moving finite medium under the effect of a time-dependent laser heat source. Laser heating is modeled as an internal heat source, whose capacity is given by g(x,t) = I(t) (1 – R)μe−μx while the finite body has an insulated boundary. The solution is obtained by the Laplace transforms method, and the discussion of solutions for two time characteristics of heat source capacities (instantaneous and exponential) is presented. The effect of the dimensionless medium velocity on the temperature profiles is examined in detail. It is found that there exists clear phase shifts in connection with the dimensionless velocity U in the spatial temperature distributions: the temperature curves with negative U values lag behind the reference curves with zero U, while the ones with positive U values precedes the reference curves. It is also found that the phase differences are the sole products of U, with increasing U predicting larger phase differences.

Download Full-text

COLLECTIVE MODE IN JOSEPHSON-COUPLED LAYERED SUPERCONDUCTORS IN WEAK PARALLEL MAGNETIC FIELDS

International Journal of Modern Physics B ◽

10.1142/s0217979201007749 ◽

2001 ◽

Vol 15 (24n25) ◽

pp. 3347-3352 ◽

Cited By ~ 4

Author(s):

JU H. KIM

Keyword(s):

Magnetic Field ◽

Theoretical Model ◽

Magnetic Induction ◽

Josephson Junctions ◽

Collective Mode ◽

Nonequilibrium State ◽

Layered Superconductors ◽

Phase Dynamics ◽

Intrinsic Josephson Junctions ◽

Josephson Plasma

We propose a theoretical model to account for the increase in the effect of both magnetic induction and presence of a nonequilibrium state in layered superconductors which behave as intrinsic Josephson junctions. Using this model, we investigate the phase dynamics with a magnetic field applied parallel to the superconducting layers and show that the increase in the coupling between the superconducting layers due to the increase in the effect of magnetic induction and the departure from equilibrium significantly modifies the dispersion of the Josephson plasma mode in intrinsic Josephson junctions from that in conventional stacks of Josephson junctions.

Download Full-text

Friedel'S law breakdown and interpretation of stacking fault images in tetrahedral semiconductors

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100126408 ◽

1987 ◽

Vol 45 ◽

pp. 318-319

Author(s):

Rob. W. Glaisher ◽

A.E.C. Spargo

Keyword(s):

Relative Phase ◽

Point Group ◽

Binary Compound ◽

Stacking Fault ◽

Fold Axis ◽

Atom Pair ◽

Tetrahedral Semiconductors ◽

Group Symmetries ◽

Thin Crystal ◽

Phase Differences

Images of <11> oriented crystals with diamond structure (i.e. C,Si,Ge) are dominated by white spot contrast which, depending on thickness and defocus, can correspond to either atom-pair columns or tunnel sites. Olsen and Spence have demonstrated a method for identifying the correspondence which involves the assumed structure of a stacking fault and the preservation of point-group symmetries by correctly aligned and stigmated images. For an intrinsic stacking fault, a two-fold axis lies on a row of atoms (not tunnels) and the contrast (black/white) of the atoms is that of the {111} fringe containing the two-fold axis. The breakdown of Friedel's law renders this technique unsuitable for the related, but non-centrosymmetric binary compound sphalerite materials (e.g. GaAs, InP, CdTe). Under dynamical scattering conditions, Bijvoet related reflections (e.g. (111)/(111)) rapidly acquire relative phase differences deviating markedly from thin-crystal (kinematic) values, which alter the apparent location of the symmetry elements needed to identify the defect.

Download Full-text