Saturation effects in ac + dc driven Frenkel–Kontorova model |
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| Institution: | 1. Department of Physics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 4, Novi Sad, Serbia;2. “Vinča” Institute of Nuclear Sciences, Laboratory for Theoretical and Condensed Matter Physics – 020, University of Belgrade, PO Box 522, 11001 Belgrade, Serbia;1. Research Center of Analysis and Control for Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;2. Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;3. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China;1. A.I. Alikhanyan National Science Laboratory, 0036 Yerevan, Armenia;2. Departamento de Ciencias Exatas, Universidade Federal de Lavras, CP 3037, 37200-000 Lavras-MG, Brazil;3. Dipartimento di Scienza e Alta Tecnologia, Universitá degli Studi dell’Insubria, Via Valleggio 11, 22100 Como, Italy;4. I.N.F.N. Sezione di Milano, Via Celoria 16, 20133 Milano, Italy;5. Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université de Bourgogne, 21078 Dijon Cedex, France;6. Institute for Physical Research, 0203 Ashtarak-2, Armenia;1. College of Mathematics and Econometrics, Hunan University, 410082 Changsha, Hunan, PR China;2. School of Mathematical Sciences, Huaqiao University, 362021 Quanzhou, Fujian, PR China;3. Hunan Women’s University, 410004 Changsha, Hunan, PR China |
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| Abstract: | Properties of the Shapiro steps in different commensurate structures of the ac + dc driven Frenkel–Kontorova model with asymmetric deformable substrate potential have been examined. Deviation from the sinusoidal potential produces appearance of large subharmonic steps. In general, different commensurate structures respond differently to the applied force and have different velocities. The results have shown that after shape parameter gets some critical value, there is no difference in the behavior of Shapiro steps for different commensurate structures. The step size and the critical depinning force for different commensurate structures saturate to the same values, due to reduction of degrees of freedom with the large deformation of potential. |
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| Keywords: | Frenkel–Kontorova model Josephson junctions arrays Charge density waves Shapiro steps |
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