DC to AC converter on Abrikosov vortices in a washboard pinning potential

11th European Conference on Applied Superconductivity

Shklovskij, Valerij A.^1,2 ; Dobrovolskiy, Oleksandr V.^2,3

Institute of Theoretical Physics, NSC-KIPT, Kharkiv

61108, Ukraine^1

Physical Department, Kharkiv National University, Kharkiv

61077, Ukraine^2

Physikalisches Institut, Goethe-University, Frankfurt am Main

60438, Germany^3

关键词: Brownian particles;    Continued fraction;    Dependent frequencies;    Dimensionless parameters;    Josephson-junction;    Nonzero temperature;    Physical application;    Transport currents;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/507/1/012007/pdf
DOI  :  10.1088/1742-6596/507/1/012007

来源: IOP

【 摘 要 】

The nonlinear dynamics of Abrikosov vortices in a cosine dc-biased washboard pinning potential at nonzero temperature is theoretically investigated. The problem is treated relying upon the exact solution of the Langevin equation for non-interacting vortices by using the Fokker-Planck method combined with the scalar continued fractions technique. The time variation of the local mean vortex velocity v(t) is calculated. The time voltage E(t) ∝ v(t) is predicted to oscillate with a dc current-dependent frequency and a tunable pulse shape. Formulas for v(t) are discussed as functions of dc transport current and temperature, in a wide range of the corresponding dimensionless parameters. The derived expressions can be adapted for a number of physical applications utilizing the overdamped motion of a Brownian particle in a tilted cosine potential, e.g., the resistively shunted Josephson junction model.