What question did this study set out to answer?

To derive an exact virial relation within Ginzburg-Landau theory to facilitate numerical calculations of magnetic properties in type-II superconductors.

May 1, 1989Physical review. B, Condensed matter

Virial theorem for Ginzburg-Landau theories with potential applications to numerical studies of type-II superconductors

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To derive an exact virial relation within Ginzburg-Landau theory to facilitate numerical calculations of magnetic properties in type-II superconductors.
Applied spatial scaling and variational principles within phenomenological Ginzburg-Landau theory.
Partitioned the system's total free energy into kinetic, magnetic field, and inhomogeneous components.
Derived the virial identity relating magnetic induction and applied field to kinetic, field, and inhomogeneous free-energy contributions.
Formulated an analytical constraint that provides an internal consistency check for numerical simulations of superconducting flux states.

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Implication

Theoretical study demonstrates a virial relation for Ginzburg-Landau models in type-II superconductors, highlighting useful applications for numerical magnetic calculations.

Cite This Study

Dória et al. (1989) studied this question.

synapsesocial.com/papers/6a8a4cdc754a5a619a72316b https://doi.org/10.1103/physrevb.39.9573

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Implication

Theoretical study demonstrates a virial relation for Ginzburg-Landau models in type-II superconductors, highlighting useful applications for numerical magnetic calculations.

Virial theorem for Ginzburg-Landau theories with potential applications to numerical studies of type-II superconductors

Key Points

Discussion

Implication

Cite This Study

Virial theorem for Ginzburg-Landau theories with potential applications to numerical studies of type-II superconductors

Key Points

Discussion

Implication

Cite This Study

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