dorsal/arxiv
View SchemaNonlinear Flux Diffusion and ac Susceptibility of Superconductors - Exact Numerical Results
| Authors | Z. Kozioł, R. A. Dunlap |
|---|---|
| Categories | |
| ArXiv ID | supr-con/9508005 |
| URL | https://arxiv.org/abs/supr-con/9508005 |
| DOI | 10.1063/1.361702 |
Abstract
The ac response of a slab of material with electrodynamic characteristics $E\sim j^{\kappa+1}$, $\kappa\geq0$, is studied numerically. From the solutions of the nonlinear diffusion equation, the fundamental and higher-order components of the harmonic susceptibility are obtained. A large portion of the data for every $\kappa$ can be scaled by a single parameter, $\xi$ =$t^{1/(\kappa+2)}\cdot H_0^{\kappa/(\kappa+2)}/D$, where $t$ is the period of the ac field at the surface, $H_0$ is its amplitude and $D$ is the slab thickness. This is, however, only an approximate scaling property: The field penetration into a nonlinear medium is a more complex phenomenon than in the linear case. In particular, the susceptibility values are not uniquely defined by a set of only two parameters, such as $\kappa$ and $\xi$, while one parameter, i.e. $t^{1/2}$/D, is sufficient to describe the electrodynamic response of a linear medium.
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"abstract": "The ac response of a slab of material with electrodynamic characteristics\n$E\\sim j^{\\kappa+1}$, $\\kappa\\geq0$, is studied numerically. From the solutions\nof the nonlinear diffusion equation, the fundamental and higher-order\ncomponents of the harmonic susceptibility are obtained. A large portion of the\ndata for every $\\kappa$ can be scaled by a single parameter, $\\xi$\n=$t^{1/(\\kappa+2)}\\cdot H_0^{\\kappa/(\\kappa+2)}/D$, where $t$ is the period of\nthe ac field at the surface, $H_0$ is its amplitude and $D$ is the slab\nthickness. This is, however, only an approximate scaling property: The field\npenetration into a nonlinear medium is a more complex phenomenon than in the\nlinear case. In particular, the susceptibility values are not uniquely defined\nby a set of only two parameters, such as $\\kappa$ and $\\xi$, while one\nparameter, i.e. $t^{1/2}$/D, is sufficient to describe the electrodynamic\nresponse of a linear medium.",
"arxiv_id": "supr-con/9508005",
"authors": [
"Z. Kozio\u0142",
"R. A. Dunlap"
],
"categories": [
"supr-con",
"cond-mat.supr-con"
],
"doi": "10.1063/1.361702",
"title": "Nonlinear Flux Diffusion and ac Susceptibility of Superconductors - Exact Numerical Results",
"url": "https://arxiv.org/abs/supr-con/9508005"
},
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