Universal equivalence of mean first-passage time and Kramers rate

被引:95
|
作者
Reimann, P [1 ]
Schmid, GJ [1 ]
Hänggi, P [1 ]
机构
[1] Univ Augsburg, D-86135 Augsburg, Germany
来源
PHYSICAL REVIEW E | 1999年 / 60卷 / 01期
关键词
D O I
10.1103/PhysRevE.60.R1
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 prove that for an arbitrary time-homogeneous stochastic process,Kramers's flux-over-population rate is identical to the inverse of the associated mean first-passage time. In this way the mean first-passage time problem can be treated without making use of the adjoint equation in conjunction with cumbersome boundary conditions. [S1063-651X(99)50307-3].
引用
收藏
页码:R1 / R4
页数:4
相关论文
共 50 条
  • [1] Ion channel gating:: A first-passage time analysis of the Kramers type
    Goychuk, I
    Hänggi, P
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2002, 99 (06) : 3552 - 3556
  • [2] Mean first-passage time in optical bistable systems
    Ning Li-Juan
    Xu Wei
    [J]. CHINESE PHYSICS LETTERS, 2006, 23 (12) : 3180 - 3182
  • [3] Estimating network topology by the mean first-passage time
    Yang, Pu
    Wang, Qun
    Zheng, Zhigang
    [J]. PHYSICAL REVIEW E, 2012, 86 (02)
  • [4] Mean first-passage time of an anisotropic diffusive searcher
    Levernier, N.
    Benichou, O.
    Voituriez, R.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (02)
  • [5] Mean first-passage time of quantum transition processes
    Qiu, Rong-Tao
    Dai, Wu-Sheng
    Xie, Mi
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (20) : 4748 - 4755
  • [6] MEAN FIRST-PASSAGE TIME TO ZERO FOR WEAR PROCESSES
    Lefebvre, Mario
    [J]. STOCHASTIC MODELS, 2010, 26 (01) : 46 - 53
  • [7] Mean First-Passage Time and Steady-State Transfer Rate in Classical Chains
    Kalantar, Na'im
    Segal, Dvira
    [J]. JOURNAL OF PHYSICAL CHEMISTRY C, 2019, 123 (02): : 1021 - 1031
  • [8] Learning shape distance based on mean first-passage time
    [J]. Han, M. (minhan@dlut.edu.cn), 1600, Science Press (40):
  • [9] Mean first-passage time for random walks on undirected networks
    Zhang, Zhongzhi
    Julaiti, Alafate
    Hou, Baoyu
    Zhang, Hongjuan
    Chen, Guanrong
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2011, 84 (04): : 691 - 697