The generalized Ornstein-Uhlenbeck process

被引：44
作者：
Caceres, MO
Budini, AA
机构：
[1] Ctr Atom Bariloche, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina
[2] CNEA, Inst Balseiro, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina
[3] Univ Nacl Cuyo, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina
[4] Univ Nacl Comahue, Direcc Postal CAB, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 24期
关键词：
D O I：
10.1088/0305-4470/30/24/009
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Langevin-like equations have been studied in the presence of arbitrary noise. The characteristic functional of the generalized Langevin process has been built up. Exact results for all cumulants are given. Particular stress has been put on the Campbell, dichotomous and radioactive decay noises. Transient relaxation, susceptibility and diffusion constants for different (noisy) media have been sketched in order to exemplify the theory. The generalized Ornstein-Uhlenbeck and Wiener processes have been completely characterized. The generalized Kubo oscillator has been worked out and all its 1-time moments have been calculated for different noise structures.
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页码：8427 / 8444
页数：18
相关论文
共 24 条
  • [1] 1ST-PASSAGE TIMES OF NON-MARKOVIAN PROCESSES - THE CASE OF A REFLECTING BOUNDARY
    BALAKRISHNAN, V
    VANDENBROECK, C
    HANGGI, P
    [J]. PHYSICAL REVIEW A, 1988, 38 (08): : 4213 - 4222
  • [2] CORRELATION-FUNCTION IN STOCHASTIC PERIODICALLY DRIVEN INSTABILITIES
    BECKER, A
    CACERES, MO
    KRAMER, L
    [J]. PHYSICAL REVIEW A, 1992, 46 (08): : R4463 - R4466
  • [3] Stochastic escape processes from a non-symmetric potential normal form .2. The marginal case
    Caceres, MO
    Fuentes, MA
    Budde, CE
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (07): : 2287 - 2296
  • [4] ASYMPTOTIC PROBABILITY-DISTRIBUTION FOR A SUPERCRITICAL BIFURCATION SWEPT PERIODICALLY IN TIME
    CACERES, MO
    BECKER, A
    KRAMER, L
    [J]. PHYSICAL REVIEW A, 1991, 43 (12): : 6581 - 6591
  • [5] STOCHASTIC ESCAPE PROCESSES FROM A NONSYMMETRICAL POTENTIAL NORMAL-FORM
    CACERES, MO
    BUDDE, CE
    SIBONA, GJ
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (14): : 3877 - 3886
  • [6] CAMPBELL NR, 1909, P CAMBRIDGE PHIL SOC, V15, P117
  • [7] DARLING DA, 1954, P NATL ACAD SCI USA, V42, P525
  • [8] BROWNIAN-MOTION IN FLUCTUATING MEDIA
    GITTERMAN, M
    [J]. PHYSICAL REVIEW E, 1995, 52 (01) : 303 - 306
  • [9] 1ST-PASSAGE TIME STATISTICS - PROCESSES DRIVEN BY POISSON NOISE
    HERNANDEZGARCIA, E
    PESQUERA, L
    RODRIGUEZ, MA
    MIGUEL, MS
    [J]. PHYSICAL REVIEW A, 1987, 36 (12): : 5774 - 5781
  • [10] ON THE DIFFUSION INDUCED BY ALTERNATING RENEWAL PROCESSES
    HONGLER, MO
    [J]. PHYSICA A, 1992, 188 (04): : 597 - 606
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