NOISE-INDUCED INSTABILITY IN SELF-CONSISTENT MONTE-CARLO CALCULATIONS

被引:17
作者
LEMONS, DS
LACKMAN, J
JONES, ME
WINSKE, D
机构
[1] AMHERST COLL,DEPT PHYS,AMHERST,MA 01002
[2] UNIV CALIF LOS ALAMOS NATL LAB,DIV APPL THEORET PHYS,LOS ALAMOS,NM 87544
来源
PHYSICAL REVIEW E | 1995年 / 52卷 / 06期
关键词
D O I
10.1103/PhysRevE.52.6855
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
We identify, analyze, and propose remedies for a numerical instability responsible for the growth or decay of sums that should be conserved in Monte Carlo simulations of stochastically interacting particles. ''Noisy'' sums with fluctuations proportional to 1/root n, where n is the number of particles in the simulation, provide feedback that drives the instability. Numerical illustrations of an energy loss or ''cooling'' instability in an Ornstein-Uhlenbeck process support our analysis.
引用
收藏
页码:6855 / 6861
页数:7
相关论文
共 9 条
[1]   PARTICLE-IN-CELL CHARGED-PARTICLE SIMULATIONS, PLUS MONTE-CARLO COLLISIONS WITH NEUTRAL ATOMS, PIC-MCC [J].
BIRDSALL, CK .
IEEE TRANSACTIONS ON PLASMA SCIENCE, 1991, 19 (02) :65-85
[2]  
GARDINER CW, 1985, HDB STOCHASTIC METHO, P66
[3]  
GARDINER CW, 1985, HDB STOCHASTIC METHO, pCH4
[4]   FLUCTUATION AND DISSIPATION IN BROWNIAN-MOTION [J].
GILLESPIE, DT .
AMERICAN JOURNAL OF PHYSICS, 1993, 61 (12) :1077-1083
[5]  
GILLESPIE DT, 1992, MARKOV PROCESSES INT, pCH3
[6]  
HORSTHEMKE W, 1984, NOISE INDUCED TRANSI, P139
[7]  
JONES M, UNPUB
[8]  
OKSENDAL B, 1980, STOCHASTIC DIFFERENT, P38
[9]  
SPITZER L, 1962, PHYSICS FULLY IONIZE, P131