Stochastic beam dynamics in quasi-isochronons storage rings

被引:16
作者
Bai, M [1 ]
Jeon, D [1 ]
Lee, SY [1 ]
Ng, KY [1 ]
Riabko, A [1 ]
Zhao, X [1 ]
机构
[1] FERMILAB NATL ACCELERATOR LAB,BATAVIA,IL 60510
来源
PHYSICAL REVIEW E | 1997年 / 55卷 / 03期
关键词
D O I
10.1103/PhysRevE.55.3493
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We investigate effects of quantum fluctuation, potential well distortion, quantum lifetime, and Touschek lifetime of the quasi-isochronous (QI) dynamical system. The Fokker-Planck equation is employed to study the equilibrium bunch distribution. The quantum lifetime in the moderate damping regime is compared with analytical formulae. The effects of harmonic radio-frequency phase modulation on equilibrium distribution function, quantum lifetime reduction, and the occurrence of stochastic resonance are studied. The formula for the Touschek lifetime for the QI dynamical system is derived and studied.
引用
收藏
页码:3493 / 3506
页数:14
相关论文
共 33 条
  • [1] Abramowitz M., 1975, Handbook of Mathematical Functions
  • [2] LIFETIME AND BEAM SIZE IN A STORAGE RING
    BERNARDINI, C
    MARIN, P
    QUERZOLI, R
    TOUSCHEK, B
    DIGIUGNO, G
    CORAZZA, GF
    HAISSINSKY, J
    GHIGO, G
    [J]. PHYSICAL REVIEW LETTERS, 1963, 10 (09) : 407 - &
  • [3] BLUM EB, 1996, AIP C P, V367
  • [4] THERMAL-ACTIVATION IN EXTREMELY UNDERDAMPED JOSEPHSON-JUNCTION CIRCUITS
    BUTTIKER, M
    HARRIS, EP
    LANDAUER, R
    [J]. PHYSICAL REVIEW B, 1983, 28 (03): : 1268 - 1275
  • [5] Stochastic problems in physics and astronomy
    Chandrasekhar, S
    [J]. REVIEWS OF MODERN PHYSICS, 1943, 15 (01) : 0001 - 0089
  • [6] CHAO AW, 1993, PHYSICS COLLECTIVE B
  • [7] RESONANT ACTIVATION OF A BROWNIAN PARTICLE OUT OF A POTENTIAL WELL - MICROWAVE-ENHANCED ESCAPE FROM THE ZERO-VOLTAGE STATE OF A JOSEPHSON JUNCTION
    DEVORET, MH
    ESTEVE, D
    MARTINIS, JM
    CLELAND, A
    CLARKE, J
    [J]. PHYSICAL REVIEW B, 1987, 36 (01): : 58 - 73
  • [8] DRIVEN RESPONSE OF THE SYNCHROTRON MOTION OF A BEAM
    ELLISON, M
    BALL, M
    BRABSON, B
    BUDNICK, J
    CAUSSYN, DD
    CHAO, AW
    COLLINS, J
    CURTIS, SA
    DERENCHUK, V
    DUTT, S
    EAST, G
    ELLISON, T
    FRIESEL, D
    GABELLA, W
    HAMILTON, B
    HUANG, H
    JONES, WP
    LAMBLE, W
    LEE, SY
    LI, D
    MINTY, MG
    NAGAITSEV, S
    NG, KY
    PEI, X
    RONDEAU, G
    SLOAN, T
    SYPHERS, M
    TEPIKIAN, S
    YAN, Y
    ZHANG, PL
    [J]. PHYSICAL REVIEW LETTERS, 1993, 70 (05) : 591 - 594
  • [9] RANDOM DRIVING OF A NONLINEAR OSCILLATOR
    GERASIMOV, A
    LEE, SY
    [J]. PHYSICAL REVIEW E, 1994, 49 (05): : 3881 - 3887
  • [10] HAISSINSKI J, 1973, NUOVO CIM B, VB 18, P72