MEAN 1ST-PASSAGE TIME FOR SYSTEMS DRIVEN BY PRE-GAUSSIAN NOISE - NATURAL BOUNDARY-CONDITIONS

被引:12
作者
BEHN, U [1 ]
MULLER, R [1 ]
TALKNER, P [1 ]
机构
[1] PAUL SCHERRER INST,CH-5232 VILLIGEN,SWITZERLAND
来源
PHYSICAL REVIEW E | 1993年 / 47卷 / 06期
关键词
D O I
10.1103/PhysRevE.47.3970
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
In order to determine the mean first-passage time for systems driven by a superposition of suitably scaled independent dichotomous Markovian processes (pre-Gaussian noise), the well-known absorbing boundary conditions must be complemented in the generic case by a novel type of natural boundary conditions. We treat explicitly a linear stochastic flow for the superposition of up to five dichotomous processes and compare the analytic results with a digital simulation for these processes and an Ornstein-Uhlenbeck process.
引用
收藏
页码:3970 / 3974
页数:5
相关论文
共 20 条
[1]   1ST-PASSAGE TIMES OF NON-MARKOVIAN PROCESSES - THE CASE OF A REFLECTING BOUNDARY [J].
BALAKRISHNAN, V ;
VANDENBROECK, C ;
HANGGI, P .
PHYSICAL REVIEW A, 1988, 38 (08) :4213-4222
[2]   STRATONOVICH MODEL DRIVEN BY DICHOTOMOUS NOISE - MEAN 1ST PASSAGE TIME [J].
BEHN, U ;
SCHIELE, K .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1989, 77 (03) :485-490
[3]   FAST, ACCURATE ALGORITHM FOR NUMERICAL-SIMULATION OF EXPONENTIALLY CORRELATED COLORED NOISE [J].
FOX, RF ;
GATLAND, IR ;
ROY, R ;
VEMURI, G .
PHYSICAL REVIEW A, 1988, 38 (11) :5938-5940
[4]   BISTABLE FLOW DRIVEN BY COLORED GAUSSIAN-NOISE - A CRITICAL-STUDY [J].
HANGGI, P ;
MARCHESONI, F ;
GRIGOLINI, P .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1984, 56 (04) :333-339
[5]   1ST-PASSAGE TIME PROBLEMS FOR NON-MARKOVIAN PROCESSES [J].
HANGGI, P ;
TALKNER, P .
PHYSICAL REVIEW A, 1985, 32 (03) :1934-1937
[6]  
HANGGI P, 1990, REV MOD PHYS, V62, P251, DOI 10.1103/RevModPhys.62.251
[7]   BISTABILITY AND COLORED NOISE IN NONEQUILIBRIUM SYSTEMS - THEORY VERSUS PRECISE NUMERICS [J].
JUNG, P ;
HANGGI, P .
PHYSICAL REVIEW LETTERS, 1988, 61 (01) :11-14
[8]   MEAN 1ST-PASSAGE TIME IN THE PRESENCE OF COLORED NOISE - AN EXACT THEORY [J].
KUS, M ;
WAJNRYB, E ;
WODKIEWICZ, K .
PHYSICAL REVIEW A, 1990, 42 (12) :7500-7503
[9]   MEAN 1ST-PASSAGE TIME IN THE PRESENCE OF COLORED NOISE - A RANDOM-TELEGRAPH-SIGNAL APPROACH [J].
KUS, M ;
WAJNRYB, E ;
WODKIEWICZ, K .
PHYSICAL REVIEW A, 1991, 43 (08) :4167-4174
[10]   CORRECTION [J].
KUS, M .
PHYSICAL REVIEW A, 1991, 44 (06) :4080-4080