Behavior of a hollow superconducting cylinder in a magnetic field

Journal Article · Thu Sep 01 04:00:00 EDT 1983 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00682124· OSTI ID:5592692

Arutunian, R; Zharkov, G F

The behavior of a hollow superconducting cylinder of arbitrary dimensions in an external magnetic field is investigated in detail within the Ginzburg-Landau macroscopic theory. The thermodynamic potential of the system is presented in a compact form, which enables us to give a simpler description of the transitions of the system between the quantized levels in a magnetic field than in previous work on this subject. The general theory is illustrated by a number of cases, which show the dependence of the order parameter, the total flux in a cavity, and the magnetic moment of the cylinder on the magnitude of the external field and on temperature. The phase transition curves and the hysteresis boundaries are found. The tricritical points, where the difference between first- and second-order phase transitions vanishes, are established. The oscillations in a magnetic field of the specific heat of the cylinder are investigated. The formulas are presented for the case of a thin-walled cylinder and are valid for arbitrary values of the order parameter psi, inner and outer radii of the cylinder, external field, and temperature. The results are discussed in connection with experiment and other papers on this subject.

• Research Organization: Lebedev Physics Institue, Moscow, USSR
• OSTI ID: 5592692
• Journal Information: J. Low Temp. Phys.; (United States), Journal Name: J. Low Temp. Phys.; (United States) Vol. 52:5; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

656102* -- Solid State Physics-- Superconductivity-- Acoustic
Electronic
Magnetic
Optical
& Thermal Phenomena-- (-1987)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CYLINDERS
FUNCTIONALS
FUNCTIONS
GINZBURG-LANDAU THEORY
HYSTERESIS
MAGNETIC FIELDS
MAGNETIC FLUX
ORDER PARAMETERS
OSCILLATIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SPECIFIC HEAT
SUPERCONDUCTORS
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES