scholarly journals Exact analytical solution of the problem of current-carrying states of the Josephson junction in external magnetic fields

2007 ◽  
Vol 76 (17) ◽  
Author(s):  
S. V. Kuplevakhsky ◽  
A. M. Glukhov
Keyword(s):  
Magnetic Fields ◽  
Analytical Solution ◽  
Josephson Junction ◽  
Exact Analytical Solution

scholarly journals Initial magnetic field distribution around high rectangular bus bars

2014 ◽  
Vol 11 (4) ◽  
pp. 523-534
Author(s):  
Grigore Cividjian
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Magnetic Fields ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
One Dimensional ◽  
Transient Electromagnetic ◽  
The One ◽  
Two Sides ◽  
Initial Magnetic Field

The one-dimensional transient electromagnetic field in and around a system of two nonmagnetic homogenous rectangular high thin bars can be analytically evaluated if the ratio of average initial magnetic field on the two sides of thin bar, or of the ratio of initial magnetic fields in middle of the bar height is known. In this paper, using appropriate conformal mappings, an exact analytical solution for these ratios are proposed in the case of very thin bars. Obtained values are compared with FEM results for relatively thick bars.

scholarly journals The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Najat A. Alghamdi
Keyword(s):  
Heat Flux ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Constant Heat Flux ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Constant Heat ◽  
Two Temperature

Abstract This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin tissue is subjected to a constant heat flux on the bounding plane of the skin surface. The separation of variables for the governing equations as a finite domain is employed. The transition temperature responses have been obtained and discussed. The results represent that the dual-phase-lag time parameter, heat flux value, and two-temperature parameter have significant effects on the dynamical and conductive temperature increment of the skin tissue. The Two-temperature dual-phase-lag (TTDPL) bioheat transfer model is a successful model to describe the behavior of the thermal wave through the skin tissue.

Influence of induced magnetic fields on Shapiro steps in Josephson-junction arrays

1994 ◽  
Vol 50 (13) ◽  
pp. 9387-9396 ◽  
Author(s):  
J. R. Phillips ◽  
H. S. J. van der Zant ◽  
J. White ◽  
T. P. Orlando
Keyword(s):  
Magnetic Fields ◽  
Josephson Junction ◽  
Shapiro Steps ◽  
Josephson Junction Arrays ◽  
Junction Arrays

Exact analytical solution for quantum spins mixing in spin-1 Bose–Einstein condensates

2008 ◽  
Vol 17 (11) ◽  
pp. 4204-4206 ◽  
Author(s):  
Chen Ai-Xi ◽  
Qiu Wan-Ying ◽  
Wang Zhi-Ping
Keyword(s):  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Quantum Spins ◽  
Bose Einstein
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