What is livingston curve?
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The Livingston curve refers to the magnetization behavior during magnetic relaxation over the Bean-Livingston surface barrier in high-temperature superconductors. It is characterized by distinct relaxation rates for vortex entry and exit, with the magnetization showing logarithmic dependence on time for flux exit and a strongly nonlinear function with downward curvature for flux entry . This behavior is influenced by the interplay between surface relaxation and bulk relaxation, leading to a crossover in the magnetization curves . Understanding the Livingston curve is crucial in studying the dynamics of vortices and the energy barriers in superconducting materials, providing insights into the complex interplay of thermodynamic characteristics in superconductors.
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2 Citations | Livingston curve refers to the conjecture by Livingston on the linear independence of logarithms of certain algebraic numbers, disproved for composite q≥4 but true for prime q≥3. |
162 Citations | The Livingston curve refers to the nonlinear magnetization behavior during vortex entry in high-temperature superconductors over the Bean-Livingston surface barrier, showing downward curvature and strong nonlinearity. |
02 Mar 2017 2 Citations | The Livingston curve refers to the energy barrier proposed by Bean and Livingston in type II superconductors, influencing vortex configurations and magnetic properties within the material. |
| Not addressed in the paper. |
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