Fermi acceleration on the annular billiard: a simplified version

被引：38
作者：
de Carvalho, RE [1 ]
de Souza, FC [1 ]
Leonel, ED [1 ]
机构：
[1] Univ Estadual Paulista, Dept Estat Matemat Aplicada & Computacao, Inst Geociencias & Ciencias Exatas, BR-13506700 Rio Claro, SP, Brazil
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 14期
关键词：
D O I：
10.1088/0305-4470/39/14/005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A simplified version of a time-dependent annular billiard is studied. The dynamics is described using nonlinear maps and we consider two different configurations for the billiard, namely (i) concentric and (ii) eccentric cases. For the concentric case and for a null angular momentum, we confirm that the results for the Fermi-Ulam model are recovered and the particle does not experience the phenomenon of Fermi acceleration. However, on the eccentric case the particle demonstrates unlimited energy gain and Fermi acceleration is therefore observed.
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页码：3561 / 3573
页数：13
相关论文
共 26 条
  • [1] BAILIN H, 1990, CHAOS, V2
  • [2] Berry M. V., 1981, European Journal of Physics, V2, P91, DOI 10.1088/0143-0807/2/2/006
  • [3] QUANTUM TUNNELING AND CHAOTIC DYNAMICS
    BOHIGAS, O
    BOOSE, D
    DECARVALHO, RE
    MARVULLE, V
    [J]. NUCLEAR PHYSICS A, 1993, 560 (01) : 197 - 210
  • [4] Bunimovic L.A., 1974, Sbornik: Mathematics, V23, P45
  • [5] ERGODIC PROPERTIES OF NOWHERE DISPERSING BILLIARDS
    BUNIMOVICH, LA
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 65 (03) : 295 - 312
  • [6] DECARVALHO RE, 2006, IN PRESS FERMI ACCEL
  • [7] CHAOTIC DYNAMICS OF A BOUNCING BALL
    EVERSON, RM
    [J]. PHYSICA D, 1986, 19 (03): : 355 - 383
  • [8] Fermi E., 1949, Phys. Rev, V75, P1169, DOI [10.1103/PhysRev.75.1169, DOI 10.1103/PHYSREV.75.1169]
  • [9] Guckenheimer J, 2000, APPL MATH SCI, V42
  • [10] HOLMES PJ, 1982, J SOUND VIB, V84, P173, DOI 10.1016/S0022-460X(82)80002-3
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