OBSERVABLE AND HIDDEN SINGULAR FEATURES OF LARGE FLUCTUATIONS IN NONEQUILIBRIUM SYSTEMS

被引:103
作者
DYKMAN, MI
MILLONAS, MM
SMELYANSKIY, VN
机构
[1] MICHIGAN STATE UNIV,DEPT PHYS & ASTRON,E LANSING,MI 48824
[2] LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545
[3] UNIV MICHIGAN,DEPT PHYS,ANN ARBOR,MI 48104
关键词
D O I
10.1016/0375-9601(94)90426-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study local features, and provide a topological insight into the global structure of the probability density distribution and of the pattern of the optimal paths for large rare fluctuations away from a stable state. In contrast to extremal paths in quantum mechanics, the optimal paths do not encounter caustics. We show how this occurs, and what, instead of caustics, are the experimentally observable singularities of the pattern. We reveal the possibility for a caustic and a switching line to start at a saddle point, and discuss the consequences.
引用
收藏
页码:53 / 58
页数:6
相关论文
共 26 条
  • [1] Arnold V. I., 1984, CATASTROPHE THEORY
  • [2] Arnold VI., 1978, MATH METHODS CLASSIC, DOI 10.1007/978-1-4757-1693-1
  • [3] BERRY MV, 1976, ADV PHYS, V35, P1
  • [4] DISSIPATIVE CORRECTIONS TO ESCAPE PROBABILITIES OF THERMALLY NONEQUILIBRIUM SYSTEMS
    CHINAROV, VA
    DYKMAN, MI
    SMELYANSKIY, VN
    [J]. PHYSICAL REVIEW E, 1993, 47 (04): : 2448 - 2461
  • [5] Day M. V., 1987, Stochastics, V20, P121, DOI 10.1080/17442508708833440
  • [6] CONDITIONAL EXITS FOR SMALL NOISE DIFFUSIONS WITH CHARACTERISTIC BOUNDARY
    DAY, MV
    [J]. ANNALS OF PROBABILITY, 1992, 20 (03) : 1385 - 1419
  • [7] OPTIMAL PATHS AND THE PREHISTORY PROBLEM FOR LARGE FLUCTUATIONS IN NOISE-DRIVEN SYSTEMS
    DYKMAN, MI
    MCCLINTOCK, PVE
    SMELYANSKI, VN
    STEIN, ND
    STOCKS, NG
    [J]. PHYSICAL REVIEW LETTERS, 1992, 68 (18) : 2718 - 2721
  • [8] DYKMAN MI, 1994, CONT PROBLEMS STAT P, P41
  • [9] DYKMAN MI, 1994, J CHEM PHYS
  • [10] DYKMAN MI, UNPUB