Mean-Field Theory of the Meissner effect in Bulk Revisited

Mapping Intimacies ◽

10.20944/preprints202008.0653.v1 ◽

2020 ◽

Author(s):

Ladislaus Banyai

Keyword(s):

Magnetic Field ◽

Thermal Equilibrium ◽

Mean Field Theory ◽

Mean Field ◽

Meissner Effect ◽

Transverse Current ◽

Self Consistent ◽

Full Compensation ◽

Current Interaction ◽

Constant External Magnetic Field

We show that the implementation of the 1/c² transverse current-current interaction between elec- trons into the standard self-consistent electron BCS model in bulk under thermal equilibrium in the stable superconductive phase ensures the full compensation of a constant external magnetic field by the internal magnetic field created by the electrons.

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Mean-field Theory of the Meissner Effect in Bulk Revisited

10.20944/preprints202008.0653.v2 ◽

2020 ◽

Author(s):

Ladislaus Banyai

Keyword(s):

Magnetic Field ◽

Mean Field Theory ◽

Mean Field ◽

Meissner Effect ◽

Transverse Current ◽

Self Consistent ◽

Full Compensation ◽

London Equation ◽

Current Interaction ◽

Constant External Magnetic Field

We show that the implementation of the 1/c² transverse current-current interaction between electrons into the standard self-consistent electron BCS model in bulk under thermal equilibrium ensures in the stable superconductive phase the full compensation of a constant external magnetic field by the internal magnetic field created by the electrons i.e. one has an ideal diamagnet. However, no proof of the phenomenological London equation emerges within the bulk approach.

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Mean-field BCS theory of the Meissner effect in bulk revisited

The European Physical Journal B ◽

10.1140/epjb/s10051-020-00034-2 ◽

2021 ◽

Vol 94 (1) ◽

Author(s):

Ladislaus Alexander Bányai

Keyword(s):

Magnetic Field ◽

Thermal Equilibrium ◽

Mean Field ◽

Meissner Effect ◽

Bcs Theory ◽

Transverse Current ◽

Self Consistent ◽

Full Compensation ◽

Current Interaction ◽

Constant External Magnetic Field

Abstract We show that the implementation of the $$1/ c^2 $$ 1 / c 2 transverse current–current interaction between electrons resulting from the non-relativistic QED into the standard self-consistent electron BCS model in bulk under thermal equilibrium in the stable superconductive phase ensures the full compensation of a constant external magnetic field by the internal magnetic field created by the electrons, i.e. one has an ideal diamagnet. GraphicAbstract

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EFFECT OF MAGNETIC FIELD ON THE PHASE TRANSITION FROM NUCLEAR MATTER TO QUARK MATTER DURING PROTO-NEUTRON STAR EVOLUTION

International Journal of Modern Physics D ◽

10.1142/s0218271802001731 ◽

2002 ◽

Vol 11 (04) ◽

pp. 545-559 ◽

Cited By ~ 5

Author(s):

V. K. GUPTA ◽

ASHA GUPTA ◽

S. SINGH ◽

J. D. ANAND

Keyword(s):

Magnetic Field ◽

Phase Transition ◽

Quark Matter ◽

Mean Field Theory ◽

Mean Field ◽

Relativistic Mean Field ◽

Electron Neutrinos ◽

Hadron Phase ◽

Frame Work ◽

Trapped Electron

We have studied phase transition from hadron matter to quark matter in the presence of high magnetic fields incorporating the trapped electron neutrinos at finite temperatures. We have used the density dependent quark mass (DDQM) model for the quark phase while the hadron phase is treated in the frame-work of relativistic mean field theory. It is seen that the energy density in the hadron phase at phase transition decreases with both magnetic field and temperature.

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