2003/05/15 by Luciano M. Abreu, L. M. Abreu, A. P. C. Malbouisson +1 · 3 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Ball (mathematics) #Black Holes and Theoretical Physics #Computer science #Condensed matter physics #Critical radius #Function (biology) #Geometry #High-pressure geophysics and materials #Mathematics #Physics #Physics of Superconductivity and Magnetism #RADIUS #SPHERES #Superconductivity #Transition temperature #cond-mat.supr-con #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.physa.2003.09.032
published in Physica A Statistical Mechanics and its Applications 331(1-2), 99-108 (Elsevier BV) · 6 pages, Revtex, no figures
arxiv created 2003/05/15 · openalex publication_date 2003/10/15 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the minimal size of small superconducting grains by means of a Ginzburg-Landau model confined to a sphere of radius R. This model is supposed to describe a material in the form of a ball, whose transition temperature when presented in bulk form, T0, is known. We obtain an equation for the critical temperature as a function of R and of T0, allowing us to arrive at the minimal radius of the sphere below which no superconducting transition exists.