Dynamical phase transition of a driven vortex lattice with disordered pinning |
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| Affiliation: | 1. University of Cologne, Institute of Econometrics, Albertus-Magnus-Platz, 50923 Cologne, Germany;2. University of Exeter Business School, Department of Economics, Streatham Court, Rennes Drive, Exeter, EX4 4PU, UK;3. Hiroshima University, Department of Economics,1-2-3 Kagamiyama, Hiroshima, Japan;2. Livestock Science and Sustainable Environment Programme, Centre of Excellence in Agricultural Development and Sustainable Environment, Federal University of Agriculture, Abeokuta 110001, Nigeria;1. Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon;2. Department of Physics and Astronomy, Botswana International University of Science and Technology, Private Mail Bag 16, Palapye, Botswana;3. Kavli Institute for Theoretical Physics (KITP), University of California at Santa Barbara, Santa Barbara, CA 93106, USA;4. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon |
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| Abstract: | We have numerically solved the overdamped equation of vortex motion in a two-dimensional driven vortex lattice with disordered pinning, in which the driving Lorentz force, the pinning force due to point defects, the intervortex interacting force, and the thermal fluctuation force are taken into account. It is found that the vortex density and pinning strength are two important factors of affecting the melting transition of a vortex lattice. At low magnetic fields, there exist hysteresis loops of the average vortex velocity and the average pinning force vs. the driving force, from which the feature of a first-order melting transition of the vortex motion can be clearly seen. As the magnetic field is increased beyond a critical value, the hysteresis loops disappear and the melting transition is replaced by a second-order glass transition. We have also studied the influence of intervortex interactions on the vortex melting transition by comparing several forms of repulsive forces between the vortices. |
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