Transition-Path Theory and Path-Finding Algorithms for the Study of Rare Events

被引:418
作者
E, Weinan [1 ,2 ]
Vanden-Eijnden, Eric [3 ]
机构
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[2] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA
[3] NYU, Courant Inst Math Sci, New York, NY 10012 USA
来源
ANNUAL REVIEW OF PHYSICAL CHEMISTRY, VOL 61 | 2010年 / 61卷
关键词
string method; activated process; minimum free energy path; transition-state theory; NUDGED ELASTIC BAND; MOLECULAR-DYNAMICS SIMULATIONS; PROTEIN-FOLDING KINETICS; STRING METHOD; FREE-ENERGY; SADDLE-POINTS; STATES; MODELS;
D O I
10.1146/annurev.physchem.040808.090412
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Transition-path theory is a theoretical framework for describing rare events in complex systems. It can also be used as a starting point for developing efficient numerical algorithms for analyzing such rare events. Here we review the basic components of transition-path theory and path-finding algorithms. We also discuss connections with the classical transition-state theory.
引用
收藏
页码:391 / 420
页数:30
相关论文
共 88 条
[81]   Umbrella sampling for nonequilibrium processes [J].
Warmflash, Aryeh ;
Bhimalapuram, Prabhakar ;
Dinner, Aaron R. .
JOURNAL OF CHEMICAL PHYSICS, 2007, 127 (15)
[82]   Transition pathways in complex systems: Reaction coordinates, isocommittor surfaces, and transition tubes [J].
Weinan, E ;
Ren, WQ ;
Vanden-Eijnden, E .
CHEMICAL PHYSICS LETTERS, 2005, 413 (1-3) :242-247
[83]   Finite temperature string method for the study of rare events [J].
Weinan, E ;
Ren, WQ ;
Vanden-Eijnden, E .
JOURNAL OF PHYSICAL CHEMISTRY B, 2005, 109 (14) :6688-6693
[84]  
Weinan E., 2004, MULTISCALE MODELLING, P35
[85]   Extending molecular dynamics time scales with milestoning: Example of complex kinetics in a solvated peptide [J].
West, Anthony M. A. ;
Elber, Ron ;
Shalloway, David .
JOURNAL OF CHEMICAL PHYSICS, 2007, 126 (14)
[86]   The transition state method. [J].
Wigner, E .
TRANSACTIONS OF THE FARADAY SOCIETY, 1938, 34 (01) :0029-0040
[88]  
2009, TRANSITION PATH THEO