Dynamic importance sampling for the escape problem in nonequilibrium systems: Observation of shifts in optimal paths

被引：10

作者：

Beri, S ^{[1
]}

Mannella, R

McClintock, PVE

机构：

[1] Univ Lancaster, Dept Phys, Lancaster LA1 4YB, England

[2] Univ Pisa, Dipartimento Fis, I-56100 Pisa, Italy

[3] INFM, UdR Pisa, I-56100 Pisa, Italy

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 92卷 / 02期

关键词：

D O I：

10.1103/PhysRevLett.92.020601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The activation problem is investigated in two-dimensional nonequilibrium systems. A numerical approach based on dynamic importance sampling (DIMS) is introduced. DIMS accelerates the simulations and allows the investigation to access noise intensities that were previously forbidden. The escape path is observed to be shifted compared to a heteroclinic trajectory calculated in the limit of zero-noise intensity. A theory to account for such shifts is presented and shown to agree with the simulations for a wide range of noise intensities.

引用

页数：4

共 41 条

[1]

[Anonymous], 1989, NOISE NON D

[2]

Arnold V. I., 1978, Mathematical methods of classical mechanics

[3] Fast Monte Carlo simulations and singularities in the probability distributions of nonequilibrium systems [J].