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SPECIAL TOPIC — Celebrating the 100th Anniversary of Physics Discipline of Xiamen University
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| SPECIAL TOPIC—Celebrating the 100th Anniversary of Physics Discipline of Xiamen University |
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Accelerator-mode islands and superdiffusion in double-kicked rotor |
| Fengdi Wang(王风涤)1 and Ping Fang(方萍)1,2,† |
1 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;
2 State Key Laboratory of Information Photonics and Optical Communications, Beijing 100876, China |
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Abstract This paper presents a theoretical investigation of the presence of acceleration islands in the phase space of double-kicked rotor (DKR) systems, which can lead to superdiffusive behavior. We establish the conditions for the existence of period-1 acceleration centers and subsequently calculate the stability conditions for both period-1 and period-2 accelerate mode islands. A detailed analysis of local and global diffusion in the vicinity of the islands and the stickiness regions is provided. It is demonstrated that the mean stickiness time decays exponentially when the phase point is located in the interior of the island. Moreover, the phase point undergoes a power-law decay with a power equal to approximately 5 when entering the sticky region. These findings offer a foundation for future exploration of quantum dynamics in the DKR system.
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Received: 21 February 2023
Revised: 23 March 2023
Accepted manuscript online: 07 April 2023
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PACS:
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05.45.Ac
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(Low-dimensional chaos)
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05.60.Cd
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(Classical transport)
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05.45.Mt
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(Quantum chaos; semiclassical methods)
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45.05.+x
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(General theory of classical mechanics of discrete systems)
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Corresponding Authors:
Ping Fang
E-mail: pingfang@bupt.edu.cn
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Cite this article:
Fengdi Wang(王风涤) and Ping Fang(方萍) Accelerator-mode islands and superdiffusion in double-kicked rotor 2023 Chin. Phys. B 32 060504
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[1] Dana I and Fishman S1985 Physica D 17 63
[2] Chirikov B V1979 Phys. Rep. 52 263
[3] Izrailev F M1990 Phys. Rep. 196 299
[4] Haake F 2001 Quantum Signatures of Chaos (Berlin: Springer)
[5] Karabanov A and Morozov A2014 Chaos, Solitons and Fractals 69 201
[6] Rechester A B and White R B 1981 Phys. Rev. Lett. 81 4044
[7] Cary J R, Meiss J D and Bhattacharjee A1981 Phys. Rev. A 23 2744
[8] Karney C2005 Physica D 8 360
[9] Ishizaki R, Horita T, Kobayashi T and Mori H1991 Prog. Theor. Phys. 85 1013
[10] Ouchi K, Mori N, Horita T and Mori H1991 Prog. Theor. Phys. 85 687
[11] Harsoula M and Contopoulos G2018 Phys. Rev. E 97 022215
[12] Manos T and Robnik M2014 Phys. Rev. E 89 022905
[13] Wallis G 2010 Springer 60 547
[14] Benkadda S, Kassibrakis S, White R B and Zaslavsky G M1997 Phys. Rev. E 55 4909
[15] Meiss J D 1980 Phys. Rev. A 34 2375
[16] Birkhoff and D G 1913 T. Am. Math. Soc. 14 14
[17] Birkhoff G D1926 Acta Mathematica 47 297
[18] Harsoula M, Karamanos K and Contopoulos G2019 Phys. Rev. E 99 032203
[19] Zaslavsky G M and Meiss J 1999 Physics of Chaos in Hamiltonian systems (London: Imperial College Press)
[20] Contopoulos G1971 Astron. J. 76 147
[21] Efthymiopoulos C, Contopoulos G and Voglis N 1999 Int. Astron. Union Colloq. 73 221
[22] Lozej R, Lukman D and Robnik M2021 Phys. Rev. E 103 012204
[23] Barash O and Dana I2007 Phys. Rev. E 75 056209
[24] Li W, Chen S G and Wang G R2001 Phys. Lett. A 281 334
[25] Wang J and Gong J2008 Phys. Rev. A 77 031405
[26] Zhou L and Gong J2018 Phys. Rev. A 97 063603
[27] Tao M A and Shu-Min L I2008 Chin. Phys. Lett. 25 1968
[28] Fishman S, Guarneri I and Rebuzzini L2002 Phys. Rev. Lett. 89 084101
[29] Fang P and Wang J 2016 Sci. China: Phys., Mech. Astron. 59 7
[30] Wang J, Guarneri I, Casati G and Gong J2011 Phys. Rev. Lett. 107 234104
[31] Bi H, Qi G, Hu J and Wu Q2020 Chin. Phys. B 29 020502
[32] Zhao W L and Jie Q2020 Chin. Phys. B 29 080302
[33] Stocklin M M A and Monteiro T S2005 Phys. Rev. E 74 026210
[34] Godun R M, D'Arcy M, Oberthaler M K, Summy G S and Burnett K2000 Phys. Rev. A 62 013411
[35] Rom-Kedar V and Zaslavsky G1999 Chaos 9 697
[36] Meiss J D, Miguel N, Simó C and Vieiro A2018 Nonlinearity 31 5615
[37] Iomin A, Fishman S and Zaslavsky G2002 Phys. Rev. E 65 036215
[38] Contopoulos G and Harsoula M2010 Int. J. Bifurcation Chaos 20 2005 |
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