scholarly journals Stable Nucleation for the Ginzburg-Landau System with an Applied Magnetic Field

1998 ◽  
Vol 142 (1) ◽  
pp. 1-43 ◽  
Author(s):  
P. Bauman ◽  
D. Phillips ◽  
Q. Tang
Keyword(s):  
Magnetic Field ◽  
Applied Magnetic Field ◽  
Ginzburg Landau

THE TOPOLOGICAL STRUCTURE OF SINGLE VORTEX IN THE FF STATE

2011 ◽  
Vol 25 (26) ◽  
pp. 2041-2051
Author(s):  
XINLE SHANG ◽  
PENGMING ZHANG ◽  
WEI ZUO
Keyword(s):  
Magnetic Field ◽  
Applied Magnetic Field ◽  
Topological Structure ◽  
Single Vortex ◽  
Ginzburg Landau ◽  
The Core ◽  
The Magnetic Field

In this paper, we study the coexistence of the vortex and the FF state by using the generalized Ginzburg–Landau (GL) functional with the applied magnetic field, and obtain the numeric solutions. Furthermore, we investigate the topological structure of the vortex and find that the property of vortices relies heavily on the modulation q along z-axis. There is no topological vortex when q < qp, and the value [Formula: see text] is more favorable for the topological vortex. Moreover the magnetic field at the core of the vortex is obtained for the topological vortex.

HEAT CAPACITY OF YBa2Cu3O7−δ NEAR Tc

1989 ◽  
Vol 03 (02) ◽  
pp. 111-114 ◽  
Author(s):  
S.E. INDERHEES ◽  
M.B. SALAMON
Keyword(s):  
Magnetic Field ◽  
Heat Capacity ◽  
Applied Magnetic Field ◽  
Order Parameter ◽  
High Temperature Superconductor ◽  
Thermal Fluctuations ◽  
Zero Field ◽  
Ginzburg Landau ◽  
Fluctuation Effects ◽  
Heat Capacity Measurements

The exceptionally short Ginzburg-Landau coherence length of the high temperature superconductor YBa 2 Cu 3 O 7−δ makes possible the observation of fluctuation effects near the transition from the normal to the superconducting state. At the time of this writing, observations of fluctuation contributions to the electrical conductivity,1 magnetic susceptibility2 and thermopower3 have been reported. Excess contributions to the heat capacity (C fl ) due to thermal fluctuations, though far more difficult to observe, have been noted by several researchers.4 The heat capacity measurements are of particular interest, as a comparison of C fl above and below T c may elucidate the number of components of the Ginzburg-Landau (GL) order parameter and hence the nature of the pairing. The behavior of the heat capacity in an applied magnetic field is distinctly different from that of an ordinary superconductor.5 We summarize here our results on heat capacity measurements in zero field and in an applied magnetic field.

ON THE HESSIAN OF THE ENERGY FORM IN THE GINZBURG–LANDAU MODEL OF SUPERCONDUCTIVITY

2004 ◽  
Vol 16 (04) ◽  
pp. 421-450 ◽  
Author(s):  
MYRIAM COMTE ◽  
MYRTO SAUVAGEOT
Keyword(s):  
Magnetic Field ◽  
Applied Magnetic Field ◽  
Radial Solutions ◽  
Ginzburg Landau ◽  
Landau Model ◽  
The Stability

The purpose of this work is to study the stability of radial solutions of degree d for the Ginzburg–Landau model of superconductivity with an applied magnetic field in a disk of radius [Formula: see text]. We consider the branch of solutions introduced in [24] as a branch with the radius of the ball as parameter. We prove that for small radii the branch is stable while it is unstable for large radii, see [6]. We then study in detail the Hessian of the energy at the symmetric vortex at the stability transition. Finally under a couple of extra assumptions, we construct a branch of solutions bifurcating from the radial one at this point, and describe it.

scholarly journals Random distribution of topological defects in mesoscopic superconducting samples

Respuestas ◽  
2020 ◽  
Vol 25 (1) ◽  
pp. 178-183
Author(s):  
Oscar Silva-Mosquera ◽  
Omar Yamid Vargas-Ramirez ◽  
José José Barba-Ortega
Keyword(s):  
Magnetic Field ◽  
Applied Magnetic Field ◽  
Random Distribution ◽  
Topological Defects ◽  
Ginzburg Landau ◽  
Field Function ◽  
Strong Anchor ◽  
Different Temperatures ◽  
Ginzburg Landau Equations ◽  
Superconducting Sample

In the present work we analyze the effect of topological defects at different temperatures in a mesoscopic superconducting sample in the presence of an applied magnetic field H. The time-dependent Ginzburg-Landau equations are solved with the method of link variables. We study the magnetization curves M(H), number of vortices N(H) and Gibbs G(H) free energy of the sample as a applied magnetic field function. We found that the random distribution of the anchor centers for the temperatures used does not cause strong anchor centers for the vortices, so the configuration of fluxoids in the material is symmetrical due to the well-known Beam-Livingston energy barrier.

scholarly journals Thin domain limit and counterexamples to strong diamagnetism

2020 ◽  
pp. 2150003
Author(s):  
Bernard Helffer ◽  
Ayman Kachmar
Keyword(s):  
Magnetic Field ◽  
Applied Magnetic Field ◽  
Normal State ◽  
Order Parameter ◽  
Cylindrical Sample ◽  
Nonlinear Regime ◽  
Thin Domain ◽  
Ginzburg Landau ◽  
Tubular Domain

We study the magnetic Laplacian and the Ginzburg–Landau functional in a thin planar, smooth, tubular domain and with a uniform applied magnetic field. We provide counterexamples to strong diamagnetism, and as a consequence, we prove that the transition from the superconducting to the normal state is non-monotone. In some nonlinear regime, we determine the structure of the order parameter and compute the super-current along the boundary of the sample. Our results are in agreement with what was observed in the Little–Parks experiment, for a thin cylindrical sample.

scholarly journals The Effect of Modulation on Heat Transport by a Weakly Nonlinear Thermal Instability in the Presence of Applied Magnetic Field and Internal Heating

2020 ◽  
Vol 25 (4) ◽  
pp. 96-115
Author(s):  
S.H. Manjula ◽  
Palle Kiran ◽  
G. Narsimlu ◽  
R. Roslan
Keyword(s):  
Magnetic Field ◽  
Heat Transport ◽  
Applied Magnetic Field ◽  
Landau Equation ◽  
Thermal Modulation ◽  
Ginzburg Landau ◽  
Weakly Nonlinear ◽  
The Real ◽  
Ginzburg Landau Equation ◽  
Gravity And Magnetic

AbstractThe present paper deals with a weakly nonlinear stability problem under an imposed time-periodic thermal modulation. The temperature has two parts: a constant part and an externally imposed time-dependent part. We focus on stationary convection using the slow time scale and quantify convective amplitude through the real Ginzburg-Landau equation (GLE). We have used the classical fourth order Runge-Kutta method to solve the real Ginzburg-Landau equation. The effect of various parameters on heat transport is discussed through GLE. It is found that heat transport analysis is controlled by suitably adjusting the frequency and amplitude of modulation. The applied magnetic field (effect of Ha) is to diminish the heat transfer in the system. Three different types of modulations thermal, gravity, and magnetic field have been compared. It is concluded that thermal modulation is more effective than gravity and magnetic modulation. The magnetic modulation stabilizes more and gravity modulation stabilizes partially than thermal modulation.

The Effect of Gravity Modulation on Double Diffusive Convection in the Presence of Applied Magnetic Field and Internal Heat Source

2020 ◽  
Vol 12 (6) ◽  
pp. 792-805
Author(s):  
Palle Kiran ◽  
S. H. Manjula ◽  
R. Roslan
Keyword(s):  
Magnetic Field ◽  
Applied Magnetic Field ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Finite Amplitude ◽  
Gravity Modulation ◽  
Nonlinear Stability Analysis ◽  
Ginzburg Landau ◽  
Weakly Nonlinear ◽  
Double Diffusive

We have investigated the study of double diffusive stationary convection in the presence of applied magnetic field and internal heating. A weakly nonlinear stability analysis has been performed using the finite amplitude Ginzburg-Landau model. This finite amplitude of convection is obtained at third order of the system. It is assumed that the buoyancy term has two parts, steady and oscillatory parts. The second part is varying sinusoidally with time and vibrates the system with finite amplitude δ1 and frequency ω. The effects of δ1 and on heat/mass transports have been analysed and depicted graphically. The studies are established that the heat/mass transports can be controlled effectively by gravity modulation. Further, it is found that internal Rayleigh number Ri is to enhance heat transfer and reduces the mass transfer in the system.

The Meissner effect and the Ginzburg–Landau equations in the presence of an applied magnetic field

1997 ◽  
Vol 38 (6) ◽  
pp. 3046-3054 ◽  
Author(s):  
Masayoshi Tsutsumi ◽  
Hironori Kasai ◽  
Takeshi Ōishi
Keyword(s):  
Magnetic Field ◽  
Applied Magnetic Field ◽  
Meissner Effect ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations
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