Corrals and critical behavior of the distribution of fluctuational paths

被引:70
作者
Dykman, MI [1 ]
Luchinsky, DG [1 ]
McClintock, PVE [1 ]
Smelyanskiy, VN [1 ]
机构
[1] UNIV LANCASTER,SCH PHYS & CHEM,LANCASTER LA1 4YB,ENGLAND
关键词
D O I
10.1103/PhysRevLett.77.5229
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate, theoretically and by analog experiment, the distribution of paths for large fluctuations away from a stable state. We have found critical broadening of the distribution of the paths coming to a cusp point that represents the simplest generic singularity in the pattern of most probable (optimal) fluctuational paths in nonequilibrium systems. The critical behavior can be described by a Landau-type theory. We predict and observe two-ridged distributions for arrivals on a switching line that separates the areas reached along optimal paths of different types.
引用
收藏
页码:5229 / 5232
页数:4
相关论文
共 40 条
[1]  
[Anonymous], 1989, NOISE NON D
[2]  
Arnold V.I., 1984, Catastrophe Theory
[3]   FLUCTUATION DRIVEN RATCHETS - MOLECULAR MOTORS [J].
ASTUMIAN, RD ;
BIER, M .
PHYSICAL REVIEW LETTERS, 1994, 72 (11) :1766-1769
[4]   WAVES AND THOMS THEOREM [J].
BERRY, MV .
ADVANCES IN PHYSICS, 1976, 25 (01) :1-26
[5]   Tuning in to noise [J].
Bulsara, AR ;
Gammaitoni, L .
PHYSICS TODAY, 1996, 49 (03) :39-45
[6]   DISSIPATIVE CORRECTIONS TO ESCAPE PROBABILITIES OF THERMALLY NONEQUILIBRIUM SYSTEMS [J].
CHINAROV, VA ;
DYKMAN, MI ;
SMELYANSKIY, VN .
PHYSICAL REVIEW E, 1993, 47 (04) :2448-2461
[7]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112
[8]  
Day M. V., 1987, Stochastics, V20, P121, DOI 10.1080/17442508708833440
[9]   CONDITIONAL EXITS FOR SMALL NOISE DIFFUSIONS WITH CHARACTERISTIC BOUNDARY [J].
DAY, MV .
ANNALS OF PROBABILITY, 1992, 20 (03) :1385-1419
[10]   NONEQUILIBRIUM FLUCTUATION-INDUCED TRANSPORT [J].
DOERING, CR ;
HORSTHEMKE, W ;
RIORDAN, J .
PHYSICAL REVIEW LETTERS, 1994, 72 (19) :2984-2987